Apparatus and method for generating signals, apparatus for demodulating signals, measuring apparatus, simulation apparatus, apparatus for analyzing circuits, transmitting apparatus, communication system, power transmission apparatus, wireless power transmission system, circuit, amplification circuit, and program

Abstract

To provide an apparatus for generating a signal having any instantaneous frequency change and instantaneous amplitude change. 【Solution means】The first signal generation device 300 is a plurality of constants or time-varying variables (k = 1 to n, n is an integer of 2 or more) applied to a plurality of amplitude-modulated single-tone waves represented by the formula (1) (amplitude (A k ), a storage unit for storing setting data of a plurality of frequencies (f k = ω k / 2π) and a plurality of phases (φ k ), and a single-tone wave generation unit for generating a plurality of amplitude-modulated single-tone waves to which a plurality of amplitudes (A k ), a plurality of frequencies (f k = ω k / 2π) and a plurality of phases (φ k ) are respectively applied, and an output generation unit for synthesizing a plurality of single-tone waves and generating an output signal s(t) of the formula (2) having an initial phase φ0, an instantaneous amplitude change A(t) and an instantaneous frequency change f(t). TIFF2026087442000153.tif12140 TIFF2026087442000154.tif16146

Description

[Technical Field]

[0001] This disclosure relates to the generation, demodulation, measurement, simulation, analysis, transmission, communication, power transmission, wireless power transmission, circuits, amplification circuits, and programs for signals in a multitone environment. [Background technology]

[0002] Conventionally, a method has been known in which a signal synthesized from multiple sine waves of different frequencies is input to measure the characteristics of a device.

[0003] For example, Patent Document 1 discloses a device characteristic test method in which a test signal containing a mixture of multiple sine waves of different frequencies output from a signal generator is input to the device under test, the signal output from the device under test in response to the test signal containing a mixture of multiple sine waves of different frequencies is stored in memory, the signal stored in memory is analyzed by a processor, and components indicating the characteristics of the device under test are derived. [Prior art documents] [Patent Documents]

[0004] [Patent Document 1] Japanese Patent Publication No. 2004-061415 [Overview of the project]

[0005] An apparatus for generating a signal according to one aspect of the present disclosure (hereinafter referred to as "the first aspect") applies to a plurality of amplitude-modulated single-tone waves (k=1 to n) (where n is an integer of 2 or more) represented by the following formula (1), and is a plurality of constants or time-varying variables called amplitude (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k A storage unit that stores setting data for the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ kThe system comprises a single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves to which the following parameters are applied, and an output generation unit that synthesizes the multiple single-tone waves to generate an output signal s(t) according to the following formula (2), having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t).

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[0006] In the apparatus according to the first embodiment, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (3), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (4), and the output signal s(t) may be expressed as a time function of the following equation (5).

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[0007] An apparatus for generating signals according to another aspect of the present disclosure (hereinafter referred to as "the second aspect") includes: a plurality of amplitude modulation units that amplitude modulate a plurality of amplitude-modulated pre-modulated signals by amplitude modulating sinusoidal waves with different frequencies and phases with different modulation signals; and an output generation unit that synthesizes the plurality of amplitude-modulated pre-modulated signals output from the plurality of amplitude modulation units to generate a frequency-modulated pre-modulated signal having instantaneous amplitude changes and instantaneous frequency changes. It is equipped with.

[0008] In the apparatus according to the second embodiment, the plurality of amplitude modulation units include a first amplitude modulation unit that outputs a first modulationed signal of amplitude modulation having a first frequency, and a second amplitude modulation unit that outputs a second modulationed signal of amplitude modulation having a second frequency different from the first frequency, and the output generation unit may be an IQ modulation unit that generates the frequency modulation modulated signal by performing IQ modulation on the first modulationed signal of amplitude modulation and the second modulationed signal of amplitude modulation as in-phase and quadrature-phase components, respectively.

[0009] In any apparatus according to the second embodiment, the apparatus may be provided with a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generation unit may synthesize a plurality of frequency-modulated signals output from the plurality of sets of IQ modulation units to generate an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

[0010] In any apparatus according to the second embodiment, the apparatus may be provided with a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generation unit may amplify the plurality of frequency-modulated signals output from the plurality of sets of IQ modulation units with an amplifier, synthesize the plurality of frequency-modulated signals amplified by the amplifier, and generate an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

[0011] An apparatus for generating signals according to yet another aspect of the present disclosure (hereinafter referred to as "the third aspect") comprises: a plurality of frequency modulation units that frequency modulate a plurality of frequency-modulated signals by frequency modulating sine waves with different amplitudes with different modulation signals; and an output generation unit that synthesizes the plurality of frequency-modulated signals output from the plurality of frequency modulation units to generate a modulationed signal with amplitude modulation and frequency modulation having instantaneous amplitude changes and instantaneous frequency changes.

[0012] A transmission apparatus for wireless communication according to still another aspect of the present disclosure (hereinafter referred to as "fourth aspect") includes a modulation processing unit that generates a modulated signal having an instantaneous amplitude change and an instantaneous frequency change, and a power amplifier that amplifies the modulated signal, and as the modulation processing unit, includes a device that generates any one of the signals according to the first aspect to the third aspect.

[0013] A communication system for wireless communication according to still another aspect of the present disclosure (hereinafter referred to as "fifth aspect") includes the transmission apparatus according to the fourth aspect, a transmission antenna connected to the transmission apparatus, a reception antenna that receives a transmission signal transmitted from the transmission apparatus via the transmission antenna, and a reception apparatus connected to the reception antenna.

[0014] A power transmission apparatus for wireless power transmission according to still another aspect of the present disclosure (hereinafter referred to as "sixth aspect") includes a modulation processing unit that generates a modulated signal having an instantaneous amplitude change and an instantaneous frequency change, and a power amplifier that amplifies the modulated signal, and as the modulation processing unit, includes a device that generates any one of the signals according to the first aspect to the third aspect.

[0015] A wireless power transmission system according to still another aspect of the present disclosure (hereinafter referred to as "seventh aspect") includes the power transmission apparatus according to the sixth aspect, a power transmission antenna connected to the power transmission apparatus, a power reception antenna that receives a transmission signal for wireless power transmission transmitted from the power transmission apparatus via the power transmission antenna, and a power reception apparatus connected to the power reception antenna.

[0016] A circuit according to still another aspect of the present disclosure (hereinafter referred to as "eighth aspect") stores setting data of a plurality of constants or time-varying variables (k = 1 to n, n is an integer of 2 or more) that are applied to a plurality of amplitude-modulated single-tone waves represented by the following formula (6), amplitudes (A k ), a plurality of frequencies (f k = ω k / 2π) and a plurality of phases (φ k ), and the plurality of amplitudes (A k ), the plurality of frequencies (f k = ω k / 2π) and the plurality of phases (φ k The system comprises a single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves to which the following parameters are applied, and an output generation unit that synthesizes the multiple single-tone waves to generate an output signal s(t) according to the following formula (7), having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

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[0017] In the circuit according to the eighth embodiment, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (8), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (9), and the output signal s(t) may be expressed as a time function of the following equation (10).

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[0018] A circuit according to yet another aspect of the present disclosure (hereinafter referred to as "the ninth aspect") comprises a plurality of amplitude modulation units that amplitude modulate a plurality of amplitude-modulated signals by amplitude modulating sinusoidal waves having different frequencies and phases with different modulation signals, and an output generation unit that synthesizes the plurality of amplitude-modulated signals output from the plurality of amplitude modulation units to generate a frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

[0019] In the circuit according to the ninth embodiment, the plurality of amplitude modulation units include a first amplitude modulation unit that outputs a first modulationed signal of amplitude modulation having a first frequency, and a second amplitude modulation unit that outputs a second modulationed signal of amplitude modulation having a second frequency different from the first frequency, and the output generation unit may be an IQ modulation unit that generates the frequency modulation modulated signal by performing IQ modulation on the first modulationed signal of amplitude modulation and the second modulationed signal of amplitude modulation as in-phase and quadrature-phase components, respectively.

[0020] In any of the circuits according to the ninth embodiment, the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit may be provided in multiple sets, and the output generation unit may synthesize multiple frequency-modulated signals output from the multiple sets of IQ modulation units to generate amplitude-modulated and frequency-modulated signals having instantaneous amplitude changes and instantaneous frequency changes.

[0021] In any circuit according to the ninth embodiment, the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit are provided in multiple sets, and the output generation unit amplifies the multiple frequency-modulated signals output from the multiple sets of IQ modulation units with an amplifier, synthesizes the multiple frequency-modulated signals amplified by the amplifier, and generates an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

[0022] A circuit relating to yet another aspect of the present disclosure (hereinafter referred to as "the tenth aspect") comprises a plurality of frequency modulation units that frequency modulate sine waves with different amplitudes using different modulation signals, and an output generation unit that synthesizes a plurality of frequency-modulated signals output from the plurality of frequency modulation units to generate a modulation signal with amplitude modulation and frequency modulation having instantaneous amplitude changes and instantaneous frequency changes.

[0023] An amplifier circuit according to yet another aspect of this disclosure (hereinafter referred to as "Aspect 11") has any of the circuits according to Aspects 9 to 10.

[0024] A method for generating a signal according to yet another aspect of this disclosure (hereinafter referred to as "the twelfth aspect") involves applying a plurality of constants or time-varying variables, which are amplitude (A) values, to a plurality of amplitude-modulated single-tone waves represented by the following formula (11) (k=1 to n) (where n is an integer of 2 or more). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The setting data of the multiple amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k The method includes generating multiple amplitude-modulated single-tone waves by applying ) to each of them, and synthesizing the multiple single-tone waves to generate an output signal s(t) according to the following equation (12) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t).

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[0025] In the method according to the 12th embodiment, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (13), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (14), and the output signal s(t) may be expressed as a time function of the following equation (15).

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[0026] A method for generating a signal according to yet another aspect of the present disclosure (hereinafter referred to as "the 13th aspect") includes generating a plurality of amplitude-modulated signals by amplitude-modulating sinusoidal waves having different frequencies and phases with different modulation signals, and generating a frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes by synthesizing the plurality of amplitude-modulated signals.

[0027] A method for generating a signal according to yet another aspect of the present disclosure (hereinafter referred to as "Aspect 14") includes generating a plurality of frequency-modulated signals by frequency modulating sine waves with different amplitudes with different modulation signals, and synthesizing the plurality of frequency-modulated signals to generate an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

[0028] A program relating to yet another aspect of this disclosure (hereinafter referred to as "Aspect 15") is a program for causing a computer or processor to function as a device for generating any of the signals relating to the first to third aspects.

[0029] An apparatus relating to yet another aspect of this disclosure (hereinafter referred to as "Aspect 16") is an apparatus for performing simulations to analyze the behavior of waves in a nonlinear system in a multitone environment. This apparatus applies to a plurality of amplitude-modulated single-tone waves (k=1 to n) (where n is an integer of 2 or more) represented by the following equation (16), and is a plurality of constants or time-varying variables, namely amplitude (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k A storage unit that stores setting data for the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ kThe system includes a single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves to which the following parameters are applied, and an output generation unit that synthesizes the multiple single-tone waves and generates an output signal s(t) according to the following equation (17) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t).

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[0030] In the apparatus according to the 16th embodiment, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (18), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (19), and the output signal s(t) may be expressed as a time function of the following equation (20).

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[0031] In any of the apparatus according to the 16th embodiment, the nonlinear system of the multitone environment includes a space having a plurality of wave sources (k=1 to n) (n is an integer of 2 or more) that emit waves, and the position of the wave source in the space and the wave s emitted by the wave source are set for each of the plurality of wave sources. k A storage unit that stores the setting data for the modulation information of (t) and the setting data for the wave propagation characteristics in the space; a division unit that divides the space into a plurality of meshes; and for each of the plurality of meshes, the wave s from the plurality of wave sources. k The system may also include an output unit that outputs, for each mesh, an arrival profile of the following equation (21) which includes the amplitude, frequency, and time variation of multiple waves (k=1 to n) that (t) has reached, as shown below.

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[0032] In any of the apparatus according to the 16th embodiment, a calculation unit may be provided that calculates the simulation result based on the reach profile for each mesh.

[0033] In any of the apparatus according to the 16th embodiment, the simulation may be a simulation to evaluate distortion in communication using a low-noise amplifier, a simulation to evaluate frequency shift phenomena caused by arranging multiple sound sources, or a simulation to evaluate received power when a modulated wave is input to a rectenna in wireless power transmission.

[0034] An apparatus relating to yet another aspect of the present disclosure (hereinafter referred to as "Aspect 17") is an apparatus for performing simulations for analyzing circuits having nonlinear characteristics. This apparatus comprises an input unit that simulates inputting an input signal s(t) of the following equation (22), having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t), to a modeled circuit to be analyzed that has nonlinear characteristics, and a calculation unit that calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

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[0035] In the apparatus according to the 17th embodiment described above, the circuit to be analyzed is a high-frequency conversion circuit, The characteristics of the circuit may also be conversion characteristics that show the relationship between the input and output of the circuit.

[0036] In the apparatus according to the 17th embodiment, the circuit under analysis is a rectifier circuit constituting a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency of the circuit in a steady state.

[0037] In the apparatus according to the 17th embodiment described above, the circuit to be analyzed is an amplification circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplification circuit.

[0038] A further aspect of this disclosure (hereinafter referred to as "Aspect 18") is a method for performing simulations to analyze the behavior of waves in a nonlinear system in a multitone environment. This method applies to a plurality of amplitude-modulated single-tone waves (k=1 to n) (where n is an integer of 2 or more) represented by the following equation (23), and is a plurality of constants or time-varying variables, namely amplitude (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The setting data of the multiple amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k The process includes generating multiple amplitude-modulated single-tone waves by applying the following formulas to each of the above, and synthesizing the multiple single-tone waves to generate an output signal s(t) according to the following formula (24) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t).

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[0039] In the method according to the 18th embodiment, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (25), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (26), and the output signal s(t) may be expressed as a time function of the following equation (27).

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[0040] In any of the methods according to the 18th embodiment, the nonlinear system of the multitone environment includes a space having a plurality of wave sources (k=1 to n) (n is an integer of 2 or more) that emit waves, and the position of the wave source in the space and the wave s emitted by the wave source are set for each of the plurality of wave sources. k (t) The setting data for the modulation information and the setting data for the wave propagation characteristics in the space are stored, the space is divided into a plurality of meshes, and for each of the plurality of meshes, the waves s from the plurality of wave sources are stored. k This may also include outputting, for each mesh, an arrival profile of the following equation (28) that includes the amplitude, frequency, and time variation of multiple waves (k=1 to n) that (t) has reached, as shown below.

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[0041] In any of the methods according to the 18th embodiment, the output signal s(t) of equation (24) corresponding to a wave having the initial phase φ0, the instantaneous amplitude change A(t), and the instantaneous frequency change f(t) at an arbitrary position in the space may be generated based on the arrival profile for each mesh and the modulation information of the plurality of wave sources, and the result of the simulation may be calculated.

[0042] In any of the methods according to the 18th embodiment, the simulation may be a simulation to evaluate distortion in communication using a low-noise amplifier, a simulation to evaluate frequency shift phenomena caused by arranging multiple sound sources, or a simulation to evaluate received power when a modulated wave is input to a rectenna in wireless power transmission.

[0043] A method relating to yet another aspect of this disclosure (hereinafter referred to as "Aspect 19") is a method for performing a simulation to analyze a circuit having nonlinear characteristics. This method includes inputting an input signal s(t) of the following equation (29), having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t), to a circuit to be analyzed that has nonlinear characteristics, and calculating the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

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[0044] In the method according to the 19th embodiment, the circuit to be analyzed is a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that show the relationship between the input and output of the circuit.

[0045] In any of the methods according to the 19th embodiment, the circuit under analysis is a rectifier circuit constituting a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency characteristics of the circuit in a steady state.

[0046] In any of the methods according to the 19th embodiment described above, the circuit to be analyzed is an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

[0047] A program relating to yet another aspect of this disclosure (hereinafter referred to as "Aspect 20") is a program for causing a computer or processor to function as one of the devices relating to Aspects 16 to 17.

[0048] An apparatus relating to yet another aspect of the present disclosure (hereinafter referred to as "the 21st aspect") is an apparatus for measuring a circuit having nonlinear characteristics. This apparatus comprises an input unit that inputs an input signal s(t) of the following equation (30), having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t), to a circuit to be measured that has nonlinear characteristics, and a calculation unit that calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

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[0049] In the apparatus according to the 21st embodiment, the circuit to be measured is a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that show the relationship between the input and output of the circuit.

[0050] In the apparatus according to the 21st embodiment, the circuit to be measured is a rectifier circuit that constitutes a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency characteristics of the circuit in a steady state.

[0051] In the apparatus according to the 21st embodiment described above, the circuit to be measured is an amplification circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplification circuit.

[0052] An apparatus relating to yet another aspect of this disclosure (hereinafter referred to as "the 22nd aspect") is an apparatus for generating a trained model. This apparatus comprises: a data storage unit that stores data of multiple sets of input / output characteristics showing the relationship between multiple input signals s(t) and the output signals, for multiple input signals s(t) of the following equation (31) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) input to the circuit, and calculates the output signal from the circuit when the input signals s(t) are input; a learning unit that performs machine learning using the data of the multiple sets of input / output characteristics as training data; and a model generation unit that generates a trained model of the characteristics of the circuit based on the results of machine learning by the learning unit.

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[0053] In the apparatus according to the 22nd embodiment, the circuit is a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that show the relationship between the input and output of the circuit.

[0054] In the apparatus according to the 22nd embodiment, the circuit is a rectifier circuit that constitutes a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency characteristics of the circuit in a steady state.

[0055] In the apparatus according to the 22nd embodiment described above, the circuit is an amplification circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplification circuit.

[0056] An apparatus according to yet another aspect of the present disclosure (hereinafter referred to as "the 23rd aspect") is a demodulation apparatus for restoring the input signal of a circuit. This apparatus comprises a storage unit for storing a learned model generated by any of the apparatus according to the 22nd aspect, and a demodulation unit that uses the learned model to generate a signal that restores the input signal of the circuit based on the measurement results of the output signal of the circuit.

[0057] An apparatus relating to yet another aspect of the present disclosure (hereinafter referred to as "the 24th aspect") is an apparatus for optimizing circuits. This apparatus comprises a storage unit for storing a trained model generated by any of the apparatus relating to the 22nd aspect, and an optimization processing unit for correcting and optimizing the characteristics of the circuit using the trained model.

[0058] A method relating to yet another aspect of this disclosure (hereinafter referred to as "the 25th aspect") is a method for generating a trained model. This method includes: calculating the output signal from the circuit when the input signals s(t) are input to the circuit, for a plurality of input signals s(t) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) according to the following equation (32), storing a plurality of sets of input-output characteristic data showing the relationship between the plurality of input signals s(t) and the output signal, and generating a trained model of the characteristics of the circuit by machine learning using the plurality of sets of input-output characteristic data as training data.

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[0059] In the method according to the 25th embodiment, the circuit is a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that show the relationship between the input and output of the circuit.

[0060] In the method according to the 25th embodiment, the circuit is a rectifier circuit constituting a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency characteristics of the circuit in a steady state.

[0061] In the method according to the 25th embodiment, the circuit is an amplification circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplification circuit.

[0062] A program relating to yet another aspect of this disclosure (hereinafter referred to as "Aspect 26") is a program for causing a computer or processor to function as one of the devices described in Aspects 22 through 24. [Brief explanation of the drawing]

[0063] [Figure 1] Figure 1 shows an example of a practical operational model of a wireless power transmission (WPT) system. [Figure 2]Figure 2 shows an example of the transmission and reception of wireless power transmission signals (WPT signals) between a power transmission device and a power receiving device in a wireless power transmission (WPT) system. [Figure 3] Figure 3 shows a schematic example of wireless power transmission from a power transmission device to a power receiving device in a wireless power transmission (WPT) system. [Figure 4] Figure 4 shows an example of the main components of a wireless power transmission (WPT) system. [Figure 5] Figure 5 shows an example of the transmission and reception of multiple wireless power transmission signals (WPT signals) at the same frequency in a wireless power transmission (WPT) system. [Figure 6] Figure 6 shows an example of a power receiving device that receives multiple wireless power transmission signals (WPT signals) of the same frequency. [Figure 7] Figure 7 shows an example of the transmission and reception of multiple wireless power transmission signals (WPT signals) with different frequencies in a wireless power transmission (WPT) system. [Figure 8] Figure 8 shows an example of a power receiving device that receives multiple wireless power transmission signals (WPT signals) with different frequencies. [Figure 9] Figure 9 shows an example of the transmission and reception of multiple downlink signals with different frequencies in a communication system. [Figure 10] Figure 10(a) shows an example of the signal before synthesis (before superposition) in a multitone environment. Figure 10(b) shows an example of the multitone signal after synthesis. [Figure 11] Figure 11 is a graph showing an example of frequency variation in a multitone signal. [Figure 12] Figure 12 is a graph showing an example of power fluctuation in a multitone signal. [Figure 13] Figure 13 shows an example of a multi-tone signal. [Figure 14] Figure 14 shows an example of the characteristics of a rectifier circuit when a continuous wave and a modulated wave are input. [Figure 15]Figure 15 shows an example of an input / output model for a conversion circuit. [Figure 16] Figure 16 shows an example of the input and output of a conversion circuit with linear characteristics. [Figure 17] Figure 17 shows another example of the input and output of a conversion circuit with nonlinear characteristics. [Figure 18] Figure 18 shows an example of a frequency domain input / output model of a conversion circuit. [Figure 19] Figure 19 shows an example of a time-domain input / output model for a conversion circuit. [Figure 20] Figure 20 is a block diagram showing an example of the main components of the first signal generation device according to this embodiment. [Figure 21] Figure 21 is a flowchart showing an example of signal generation in the first signal generation device according to the embodiment. [Figure 22] Figure 22 is a block diagram showing an example of the main components of the second signal generation device according to this embodiment. [Figure 23] Figure 23 is a flowchart showing an example of signal generation in the second signal generation device according to the embodiment. [Figure 24] Figure 24 is a block diagram showing an example of the main components of the third signal generation device according to this embodiment. [Figure 25] Figure 25 is a flowchart showing an example of signal generation in the third signal generation device according to the embodiment. [Figure 26] Figure 26 is a block diagram showing an example of the main components of the fourth signal generation device according to this embodiment. [Figure 27] Figure 27 is a block diagram showing an example of the main components of the fifth signal generation device according to this embodiment. [Figure 28] Figure 28 is a block diagram showing an example of the main components of the sixth signal generation device according to this embodiment. [Figure 29] Figure 29 is a block diagram showing an example of the main components of the seventh signal generation device according to this embodiment. [Figure 30]Figure 30 is a block diagram showing an example of the main components of the eighth signal generation device according to this embodiment. [Figure 31] Figure 31 shows an example of a circuit including the circuit of a signal generation device according to an embodiment. [Figure 32] Figure 32 is a graph showing an example of the phase change of a modulated signal using amplitude modulation and frequency modulation. [Figure 33] Figure 33 is a graph showing an example of a frequency-modulated wave signal decomposed from amplitude-modulated and frequency-modulated signals using the method according to the embodiment. [Figure 34] Figure 34 is a graph showing an example of a frequency-modulated wave signal decomposed from an amplitude-modulated and frequency-modulated signal using the method described in the reference example. [Figure 35] Figure 35 is a block diagram showing an example of the main components of the first simulation apparatus according to this embodiment. [Figure 36] Figure 36 is a flowchart showing an example of a simulation in the first simulation apparatus according to the embodiment. [Figure 37] Figure 37 is a graph showing an example of an arrival profile in the ray tracing method. [Figure 38] Figure 38 is a block diagram showing an example of the main components of the second simulation apparatus according to this embodiment. [Figure 39] Figure 39 is a flowchart showing an example of a simulation in the second simulation apparatus according to the embodiment. [Figure 40] Figure 40 is a block diagram showing an example of the main components of the third simulation apparatus according to this embodiment. [Figure 41] Figure 41 is a flowchart showing an example of a simulation in the third simulation apparatus according to the embodiment. [Figure 42] Figure 42 is a block diagram showing an example of the main components of a measuring device according to this embodiment. [Figure 43] Figure 43 is a flowchart showing an example of measurement in the measuring device according to this embodiment. [Figure 44] Figure 44 shows an example of a time-domain input / output model for an amplifier (amplifier circuit). [Figure 45] Figure 45 is a block diagram showing an example of the main components of a machine learning device according to an embodiment. [Figure 46] Figure 46 is a flowchart showing an example of machine learning in a machine learning device according to the embodiment. [Figure 47] Figure 47 is a block diagram showing an example of the main components of a demodulation device according to an embodiment. [Figure 48] Figure 48 is a block diagram showing an example of the main components of an optimization device according to this embodiment. [Modes for carrying out the invention]

[0064] Embodiments of this disclosure will be described below with reference to the drawings. Note that each drawing is merely a schematic representation of the shape, size, positional relationships, correspondences, configuration, processing, steps, etc., to the extent that the contents of this disclosure can be understood. Therefore, this disclosure is not limited to the shapes, sizes, positional relationships, correspondences, configurations, processing, steps, and steps exemplified in each drawing. Furthermore, the numerical values ​​exemplified in this disclosure are merely preferred examples, and therefore, this disclosure is not limited to the numerical values ​​exemplified.

[0065] Embodiments of this disclosure describe the generation and use of signals having instantaneous amplitude and instantaneous frequency changes in a multitone environment, the simulation of wave propagation and circuits using such signals, the measurement of circuit characteristics, and examples of signal demodulation and optimization. Embodiments of this disclosure also describe examples of analysis, reproduction, and use of instantaneous frequency fluctuation characteristics in a multitone environment where waves such as circuits and electromagnetic waves exist. Here, in this disclosure, a multitone environment means an environment in which signals of multiple frequencies, waves such as radio waves (electromagnetic waves) and sound waves exist, and a multitone signal means multiple signals with different frequencies in a multitone environment, or a signal in which such multiple signals overlap (combined).

[0066] Furthermore, in the embodiments of this disclosure, the frequency of the radio waves (electromagnetic waves) for wireless power transmission and wireless communication is, for example, microwaves, millimeter waves, or submillimeter waves of 300 MHz or higher.

[0067] Figure 1 shows an example of a practical operating model of a wireless power transmission (WPT) system 100. In Figure 1, the WPT system 100 includes, for example, a plurality of power transmission devices 110(1) to 110(4) arranged in an indoor space 900 which is the space to be operated, and a plurality of power receiving devices 120 that receive high-frequency wireless power transmission signals (WPT signals) of a predetermined frequency transmitted from the power transmission devices 110(1) to 110(4) and output DC power. Each of the plurality of power receiving devices 120 receives a plurality of WPT signals S transmitted from the plurality of power transmission devices 110(1) to 110(4), as shown in Figure 2. WPT It receives both simultaneously.

[0068] Figure 3 shows a schematic example of wireless power transmission from a power transmission device 110 to a power receiving device 120 in a wireless power transmission (WPT) system 100. In Figure 3, a WPT signal consisting of high-frequency radio frequency (RF) radio waves is transmitted from the power transmission antenna 111 of the power transmission device 110 via a predetermined directional beam. The power transmission antenna 111 is, for example, an array antenna in which multiple antenna elements are arranged in two dimensions. The power receiving device 120 includes a power receiving antenna 121 that receives the WPT signal consisting of high-frequency radio frequency (RF) radio waves transmitted from the power transmission antenna 111 of the power transmission device 110, and a rectifier 122 that has a conversion circuit that converts AC to DC. The power receiving antenna 121 is, for example, an array antenna in which multiple antenna elements 121a are arranged in two dimensions. The rectifier 122 has, for example, a group of rectifier circuits consisting of multiple rectifier circuits connected to multiple antenna elements 121a of the power receiving antenna 121, and outputs DC power.

[0069] Figure 4 shows an example of the main components of a wireless power transmission (WPT) system 100. In Figure 4, the power transmission device 110 includes, for example, an oscillator 112 that outputs a high-frequency sine wave (carrier wave) signal of a predetermined frequency, a modulator 113 that modulates the carrier wave output from the oscillator 112 using a predetermined modulation scheme, and a (power) amplifier 114 that amplifies the modulated signal output from the modulator 113. The transmission signal (modulated signal) amplified to a predetermined power by the amplifier 114 is transmitted from the power transmission antenna 111. The received signal of the high-frequency WPT signal received via the power receiving antenna 121 of the power receiving device 120 is converted to DC by a rectifier 122. The DC power output from the rectifier 122 is supplied to the load 910.

[0070] Figure 5 shows multiple wireless power transmission signals (WPT signals) of the same frequency in a wireless power transmission (WPT) system 100. WPT This figure shows an example of transmission and reception. In the ideal example in Figure 5, multiple power transmission devices 110(1) to 110(4) of the WPT system 100 transmit WPT signals S at the same frequency f with transmission powers P1 to P4. WPT This transmits multiple WPT signals S of the same frequency f from power transmission devices 110(1) to 110(4), as shown in Figure 6. WPT The received signal S, in which the amplitude and received power are superimposed, is approximately constant. R However, it is received by the power receiving device 120.

[0071] Figure 7 shows multiple wireless power transmission (WPT) signals (S) with different frequencies in a wireless power transmission (WPT) system. WPT This figure shows an example of transmission and reception. In the realistic multitone environment example in Figure 7, there is a difference in transmission frequency between the multiple power transmission devices 110(1) to 110(4), and the multiple power transmission devices 110(1) to 110(4) of the WPT system 100 transmit WPT signals S of multiple frequencies f1 to f4 with transmission powers P1 to P4 and different frequencies from each other. WPT This is transmitted. In this case, as shown in Figure 8, the WPT signals S of multiple frequencies f1 to f4, which are multitone signals transmitted from the power transmission devices 110(1) to 110(4), are transmitted. WPTA received signal S with superimposed frequency fluctuations and received power fluctuations. R However, it is received by the power receiving device 120.

[0072] Figure 9 shows multiple downlink signals S with different frequencies in the communication system 200. DL This figure shows an example of transmission and reception. In Figure 9, the communication system 200 consists of, for example, multiple base stations 210(1) to 210(4) as transmitting devices arranged in the space under operation, and a high-frequency downlink signal S of a predetermined frequency transmitted from the base stations 210(1) to 210(4). DL The system includes multiple terminal devices 220 that act as receiving devices to receive the downlink signal S transmitted from the base station of the cell in which the device is located, as shown in Figure 9. DL And the downlink signal S transmitted from the base station of the surrounding cell DL It receives both simultaneously.

[0073] In the communication system 200 environment shown in Figure 9, there is a difference in transmission frequency between multiple base stations (transmitters) 210(1) to 210(4), and multiple downlink signals S of different frequencies f1 to f4 are transmitted from multiple base stations (transmitters) 210(1) to 210(4) with transmission powers P1 to P4. DL In some cases, the environment in which the signal is transmitted is a multitone environment. In this multitone environment of the communication system 200, the downlink signal S of multiple frequencies f1 to f4, which is a multitone signal transmitted from the base stations (transmitters) 210(1) to 210(4), is also transmitted. DL A received signal S with superimposed frequency fluctuations and received power fluctuations. R However, it is received by terminal device 220.

[0074] Figure 10(a) shows an example of multitone signals S1 to S4 before synthesis (before superposition) in a multitone environment. Figure 10(b) shows the multitone signal S1 to S4 after synthesis. MTThis figure shows an example. When signals S1 to S4 in the multitone environment exemplified in Figure 10(a) are combined (superimposed), the combined multitone signal S, which is accompanied by frequency fluctuations (see Figure 11) and received power fluctuations (see Figure 12), is as shown in Figure 10(b). MT This occurs. In other words, a multitone environment has instantaneous frequency fluctuation characteristics where signals (waves) with different frequencies overlap, resulting in not only instantaneous amplitude modulation but also instantaneous frequency modulation. Some circuits, devices, and systems exhibit a response to these instantaneous frequency fluctuation characteristics in a multitone environment. Embodiments of this disclosure show examples of analysis, reproduction, and use of waveforms of multitone signals having instantaneous frequency fluctuation characteristics in a multitone environment that affect the response of circuits, devices, and systems.

[0075] [Waveform Analysis] As described above, in wireless power transmission (WPT) systems (see Figure 7) and communication systems (see Figure 9), when there are multiple transmitting stations (power transmission devices 110 or 210) and receiving stations (power receiving devices 120 or 220), the signals received by the receiving stations undergo amplitude modulation (instantaneous amplitude fluctuations) and frequency modulation (instantaneous frequency fluctuations) due to interference between multiple signals (multitone interference). By analyzing the waveforms of these amplitude-modulated (instantaneous amplitude fluctuations) and frequency-modulated (instantaneous frequency fluctuations) signals and understanding the characteristics of the instantaneous frequency fluctuations, the efficiency of the received power at the receiving station (power receiving device 120 or 220) (for example, the power receiving efficiency at power receiving device 120) can be accurately estimated.

[0076] [Waveform reproduction] Furthermore, as mentioned above, in a multitone environment, instantaneous amplitude fluctuations and instantaneous frequency fluctuations occur due to the overlapping of waves (signals) (see, for example, Figure 13). Conversely, by selecting and synthesizing several appropriate waves (signals), it is possible to calculate and reproduce (generate) a signal with arbitrary instantaneous amplitude changes and instantaneous frequency changes (instantaneous amplitude fluctuations and instantaneous frequency fluctuations). For example, by reproducing (generating) a frequency-fluctuating wave without amplitude fluctuations, distortion in signal amplification of an amplifier (amplification circuit) can be improved.

[0077] [Using waveforms] By utilizing the signal (waveform) with instantaneous amplitude and frequency changes calculated by combining the aforementioned appropriate multiple waves (signals), it is possible to calculate the characteristics of the rectifier circuit of the power receiving device 120 (see Figure 14) and the characteristics of the amplifier (amplification circuit) of the receiving device 220 when a signal with instantaneous amplitude and frequency changes is input. Furthermore, since the overall waveform of a multitone interference wave with instantaneous amplitude and frequency changes can be calculated, it is possible to use this to calculate the input inversely from the output, which can be useful for new distortion correction (inverse correction) and demodulation of the received signal. In addition, it can be used to improve the amount of information transmitted in communication systems and to design wireless power transmission (WPT) systems.

[0078] In embodiments of this disclosure, the instantaneous frequency fluctuation characteristics of a circuit in a multitone environment can be analyzed by the following method.

[0079] [Analysis method for instantaneous frequency fluctuation characteristics (novel analytical formula)] Figures 15, 16, and 17 show examples of input / output models for conversion circuits 800, 810, and 820, respectively. In the general conversion circuit 800 shown in Figure 15, input x input and output x output When such a function exists, the operation of the conversion circuit 800 can be defined as a function g. For example, as shown in Figure 16, if the input wave 811 and output wave 812 can be considered as a whole (over the entire range of the target time), then the conversion circuit 810 is a linear circuit with linear characteristics. Also, as shown in Figure 17, if the conversion circuit 820 is a nonlinear circuit with nonlinear characteristics, then the conversion process is considered to continue for each of the partial waveforms 821, 822, and 823 obtained by dividing the target time range.

[0080] Here, when the input signal to be input to the circuit is expressed by the following equation (33), (a k When (where ) is a constant and the output signal is expressed by the following equation (34), the function g that defines the operation of the circuit is said to be linear. On the other hand, if the function g is nonlinear, then equation (34) does not hold.

number

number

[0081] If the function g for which equation (34) above does not hold is nonlinear, then the input signal x input It is impossible in principle to estimate the circuit characteristics by decomposition of x. Therefore, in the embodiments of this disclosure, the time characteristics of the input signal (x) are as shown in equation (35) below. input Focusing on (t), the output signal x output A method for calculating this was used.

number

[0082] Here, the input signal x has a time characteristic. input (t) is not defined as an instantaneous value, but rather as shown in equation (36) below, by the instantaneous amplitude A(t) and instantaneous frequency f(t).

number

[0083] In the embodiments of this disclosure, instead of estimating the frequency domain characteristic g of the nonlinear conversion circuit 810 by decomposition of the input signal as shown in Figure 18, the input signal x defined by equation (36) above is used as shown in Figure 19. input We are estimating the time-domain characteristic g of the nonlinear transformation circuit 820 using (t).

[0084] In the embodiments of this disclosure, the nonlinear circuit that performs characteristic estimation is a circuit that generates an analog or digital nonlinear conversion between its input and output. For example, examples of analog nonlinear circuits include circuits that utilize nonlinear elements such as diodes and transistors. Analog nonlinear circuits include amplifier circuits that include transistors, rectifier circuits that include diodes or transistors, and so on.

[0085] As shown in the aforementioned wireless power transmission (WPT) system (see Figure 7) and communication system (see Figure 9), it is known that when two or more signals (waves) of different frequencies enter the same receiving station (receiving device 120, receiving device (terminal device) 220), amplitude and frequency modulation (beats) occurs. Here, the beat f(t) = sin(ω1t) + sin(ω2t) produced by two signals (interference waves) of the same amplitude with different frequencies (ω1, ω2) sin(ω1t) and sin(ω2t) becomes a single-frequency amplitude-modulated wave represented by equation (39) when ω in equation (37) and Δω in equation (38) are defined.

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[0086] When multiple interfering waves (interfering waves) have different amplitudes, the beat s(t) is given by equation (40), and the representative frequency is ω0. Then the beat s(t) is given by equation (41), and the amplitude waveform A(t) of the beat is 2 This can be expressed by the following equation (42).

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[0087] Similarly, if the beat s(t) is given by equation (43), the amplitude waveform A(t) of the beat can be expressed as follows. 2 This can be expressed by the following equation (44).

number

Number

[0088] [New Analytical Expression of Signal with Instantaneous Frequency Change] In an embodiment of the present disclosure, a new analytical expression as shown below is proposed for a signal having arbitrary instantaneous amplitude change and instantaneous frequency change (instantaneous amplitude fluctuation and instantaneous frequency fluctuation), and examples of its use in various applications are shown.

[0089] In this embodiment, attention is paid to the fact that the signal s(t) emitted by a signal source in a multi-tone environment is represented by the following equation (45), and the instantaneous frequency change f(t) is derived from the following equation (46).

Number

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[0090] By substituting the following equations (47) and (48) into the above equation (46), an analytical expression (general solution) of the instantaneous frequency change f(t) shown in the following equation (49) can be obtained.

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[0091] Furthermore, the analytical formula for the instantaneous frequency change f(t) shown in equation (49) above applies to signals s(t) emitted by a signal source in a multitone environment that are represented by equation (47). However, as will be described later, any amplitude-frequency modulated wave (a modulated wave that has undergone amplitude modulation and frequency modulation) can be decomposed into an amplitude-modulated wave (a modulated wave that has undergone amplitude modulation). Therefore, any modulated wave having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) can be described by the analytical formulas shown in equations (45), (48), and (49) above. Moreover, these analytical formulas, which can describe any modulated wave having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t), are useful for evaluating the effects of multitone interference in communications and for designing wireless power transmission systems.

[0092] [First signal generation apparatus and method] Figure 20 is a block diagram showing an example of the main components of the first signal generation device 300 according to the embodiment. In Figure 20, the first signal generation device 300 includes a storage unit 301, a single-tone wave generation unit 302, and an output signal generation unit 303.

[0093] The memory unit 301 stores multiple constants or time-varying variables, which are amplitude (A) applied to multiple amplitude-modulated single-tone waves (k=1 to n) (where n is an integer of 2 or more) represented by the following formula (50). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k It stores the setting data of ).

number

[0094] The single tone wave generation unit 302 generates the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k This generates multiple amplitude-modulated single-tone waves to which the following parameters are applied.

[0095] The output generation unit 303 synthesizes a plurality of single - tone waves generated by the single - tone wave generation unit 302, and generates an output signal s(t) (multi - tone modulated wave) of the following formula (51) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

Number

[0096] In the above formula (51), for example, the instantaneous amplitude change A(t) is represented by a time function of the following formula (52), the instantaneous frequency change f(t) is represented by a time function of the following formula (53), and the output signal s(t) is represented by a time function of the following formula (54).

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[0097] FIG. 21 is a flowchart showing an example of signal generation in the first signal generation apparatus 300 according to the embodiment. In the first signal generation method S100 of FIG. 21, first, a plurality of constants or time - varying variables (amplitude (A k ), a plurality of frequencies (f k =ω k / 2π), and a plurality of phases (φ k )) that are applied to a plurality of amplitude - modulated single - tone waves represented by the above formula (50) (k = 1 to n) (n is an integer of 2 or more) are set, and the set data is stored in the storage unit 301 (S101).

[0098] Here, the plurality of frequencies (f k =ω k / 2π) may be the same frequency, or some or all of the plurality of frequencies (f k =ω k / 2π) may be a plurality of different frequencies from each other. Also, the plurality of amplitudes (Ak ) A plurality of frequencies (f k = ω k / 2π) and a plurality of phases (φ k ) may be set by an operator or user of the apparatus 300 via a user interface, an operation unit, remote control, etc., or the apparatus 300 may automatically set them based on various conditions.

[0099] Next, the single - tone wave generation unit 302 reads out the setting data of a plurality of amplitudes (A k ), a plurality of frequencies (f k = ω k / 2π) and a plurality of phases (φ k ) from the storage unit 301, and generates a plurality (k = 1 to n) of amplitude - modulated single - tone waves A k (t)sin(ω k t + φ k ) by applying the setting data (S102).

[0100] Next, the output signal generation unit 303 synthesizes the plurality of single - tone waves A k (t)sin(ω k t + φ k ) generated by the single - tone wave generation unit 302, and generates an output signal s(t) (multi - tone modulation wave) of the above formula (52) or formula (55) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) (S103).

[0101] According to the signal generation apparatus 300 and the signal generation method S100 of FIGS. 20 and 21, an output signal s(t) (multi - tone modulation wave) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi - tone environment can be generated based on the proposed formulas of the above formulas (50) to (54). Therefore, analysis, reproduction, and utilization of the instantaneous frequency fluctuation characteristics in a multi - tone environment become possible.

[0102] [Second Signal Generation Apparatus] Figure 22 is a block diagram showing an example of the main components of the second signal generation device 310 according to the embodiment. In Figure 22, the second signal generation device 310 comprises a storage unit 311, a plurality of (n) amplitude modulation units 312(1) to 312(n), and an output generation unit 313.

[0103] The memory unit 311 stores setting data for multiple amplitudes, multiple frequencies, and multiple phases of multiple sine waves (carrier waves) that are the target of amplitude modulation, as well as setting data for multiple modulation signals and modulation conditions used for amplitude modulation of those multiple sine waves (carrier waves).

[0104] Multiple (n) amplitude modulation units 312(1) to 312(n) amplitude modulate sine waves with different frequencies and phases with different modulation signals based on the modulation signal and modulation conditions to produce multiple amplitude-modulated modulated signals (hereinafter also referred to as "amplitude-modulated waves" or "AM-modulated waves"). AM1 (t)~s AMn Generate (t).

[0105] The output generation unit 313 outputs multiple amplitude-modulated modulated signals (amplitude-modulated waves) s from multiple amplitude modulation units 312(1) to 312(n). AM1 (t)~s AMn (t) is combined to form a modulated signal with instantaneous amplitude and instantaneous frequency changes (hereinafter also referred to as "frequency modulated wave" or "FM modulated wave") s FM Generate (t).

[0106] Figure 23 is a flowchart showing an example of signal generation in the second signal generation device 310 according to the embodiment. In the second signal generation method S110 of Figure 23, first, setting data for multiple amplitudes, multiple frequencies, and multiple phases of multiple (n) sine waves (carrier waves) to be amplitude modulated, and multiple modulation signals and modulation conditions to be used for amplitude modulation of the multiple sine waves (carrier waves) are set, and these setting data are stored in the storage unit 311 (S111).

[0107] Here, the multiple amplitudes, multiple frequencies, multiple phases, multiple modulation signals, and modulation conditions may be set by the operator or user of the device 310 via a user interface, control unit, remote control, etc., or the device 310 may set them automatically based on various conditions.

[0108] Next, multiple amplitude modulation units 312(1) to 312(n) amplitude modulate sine waves with different frequencies and phases with different modulation signals and modulation conditions to obtain multiple amplitude-modulated signals (amplitude-modulated waves) s AM1 (t)~s AMn Generate (t).

[0109] Next, the output generation unit 313 outputs multiple amplitude-modulated signals (amplitude-modulated waves) s from the multiple amplitude modulation units 312(1) to 312(n). AM1 (t)~s AMn (t) is combined to form a modulated signal (frequency modulated wave) s with instantaneous amplitude change and instantaneous frequency change. FM Generate (t).

[0110] According to the signal generation device 310 and signal generation method S110 in Figures 22 and 23, multiple amplitude modulated waves s AM1 (t)~s AMn (t) is synthesized to form a frequency modulated wave s having instantaneous amplitude change and instantaneous frequency change in a multitone environment. FM Since (t) can be generated, it becomes possible to analyze, reproduce, and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0111] [Third signal generation device] Figure 24 is a block diagram showing an example of the main components of a third signal generation device 320 according to an embodiment. In Figure 24, the third signal generation device 320 comprises a storage unit 321, a plurality of (n) frequency modulation units 322(1) to 322(n), and an output generation unit 323.

[0112] The memory unit 321 stores setting data for multiple amplitudes, multiple frequencies, and multiple phases of multiple sine waves (carrier waves) that are the target of amplitude modulation, as well as setting data for multiple modulation signals and modulation conditions used for frequency modulation of those multiple sine waves (carrier waves).

[0113] Multiple (n) frequency modulation units 322(1) to 322(n) frequency modulate sine waves with different amplitudes using different modulation signals based on the modulation signal and modulation conditions to produce multiple frequency-modulated signals (frequency-modulated waves) s FM1 (t)~s FMn Generate (t).

[0114] The output generation unit 323 outputs multiple frequency-modulated modulated signals (frequency-modulated waves) s from multiple frequency modulation units 322(1) to 322(n). FM1 (t)~s FMn (t) is combined to form a modulated signal with amplitude modulation and frequency modulation that has instantaneous amplitude changes and instantaneous frequency changes (hereinafter also referred to as "amplitude-frequency modulated wave" or "AMFM modulated wave") s AMFM Generate (t).

[0115] Figure 25 is a flowchart showing an example of signal generation in the third signal generation device 320 according to the embodiment. In the third signal generation method S120 of Figure 25, first, multiple amplitudes, multiple frequencies, and multiple phases of multiple (n) sine waves (carrier waves) to be frequency modulated, as well as the modulation signal and modulation conditions used for amplitude modulation of the multiple sine waves (carrier waves), are set, and these setting data are stored in the storage unit 311 (S111).

[0116] Here, the multiple amplitudes, multiple frequencies, multiple phases, multiple modulation signals, and modulation conditions may be set by the operator or user of the device 320 via a user interface, control unit, remote control, etc., or the device 320 may set them automatically based on various conditions.

[0117] Next, multiple frequency modulation units 322(1) to 322(n) frequency modulate sine waves with different amplitudes using different modulation signals to obtain multiple frequency-modulated signals (frequency-modulated waves) s FM1 (t)~s FMn Generate (t).

[0118] Next, the output generation unit 323 outputs multiple frequency-modulated signals (frequency-modulated waves) s from the multiple frequency modulation units 322(1) to 322(n). FM1 (t)~s FMn (t) is combined to form a modulated signal (amplitude-frequency modulated wave) with instantaneous amplitude and frequency changes, s AMFM Generate (t).

[0119] According to the signal generation device 320 and signal generation method S120 in Figures 24 and 25, multiple frequency modulated waves s FM1 (t)~s FMn (t) is synthesized to form an amplitude-frequency modulated wave s having instantaneous amplitude and instantaneous frequency changes in a multitone environment. AMFM Since (t) can be generated, it becomes possible to analyze, reproduce, and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0120] [Fourth signal generation device] Figure 26 is a block diagram showing an example of the main components of the fourth signal generator 330 according to the embodiment. The fourth signal generator 330 in Figure 26 corresponds to the configuration in the second signal generator 310 in Figure 22 when the number n of amplitude modulation units 312(1) to 312(n) is 2. Note that in Figure 26, the parts that are common with Figure 22 are not explained.

[0121] In Figure 26, the fourth signal generator 330 generates a first modulated signal (first amplitude modulated wave) having a first frequency. AM1 A first amplitude modulation unit 331 outputs (t), and a second modulated signal (second amplitude modulated wave) s having a second frequency different from the first frequency. AM2The system includes a second amplitude modulation unit 332 that outputs (t) and an output generation unit 333. The output generation unit 333 outputs the modulationed signal (first amplitude modulated wave) of amplitude modulation output from the first amplitude modulation unit 331 s AM1 (t) and the modulated signal (second amplitude modulated wave) output from the second amplitude modulation unit 331 s AM2 (t) is combined to form a modulated signal (frequency modulated wave) s with instantaneous amplitude change and instantaneous frequency change. FM Generate (t).

[0122] According to the signal generator 330 in Figure 26, two amplitude modulated waves s AM1 (t), s AM2 By synthesizing (t), a frequency modulated wave s with instantaneous amplitude and instantaneous frequency changes in a multitone environment is obtained. FM (t) can be generated.

[0123] [Fifth signal generation device] Figure 27 is a block diagram showing an example of the main components of the fifth signal generator 340 according to the embodiment. The fifth signal generator 340 in Figure 27 corresponds to the configuration in the third signal generator 320 in Figure 24 when the number n of the frequency modulation units 322(1) to 322(n) is 2. Note that in Figure 27, the parts that are common with Figure 24 will not be explained.

[0124] In Figure 27, the fifth signal generator 340 generates a first modulated signal (first frequency modulated wave) having a first amplitude. FM1 A first frequency modulation unit 341 outputs (t), and a second modulated signal (second frequency modulated wave) s having a second amplitude different from the first amplitude. FM2 The system includes a second frequency modulation unit 342 that outputs (t) and an output generation unit 343. The output generation unit 343 outputs the modulated signal (first frequency modulated wave) s of the frequency modulation output from the first frequency modulation unit 341. FM1 (t) and the modulated signal (second frequency modulated wave) output from the second frequency modulation unit 341 s FM2(t) is combined to form a modulated signal (amplitude-frequency modulated wave) with instantaneous amplitude and frequency changes, s AMFM Generate (t).

[0125] According to the signal generator 340 in Figure 27, two frequency modulated waves s FM1 (t), s FM2 By synthesizing (t), an amplitude-frequency modulated wave s having instantaneous amplitude and instantaneous frequency changes in a multitone environment is obtained. AMFM (t) can be generated.

[0126] [6th signal generation device] Figure 28 is a block diagram showing an example of the main components of the sixth signal generator 350 according to the embodiment. The sixth signal generator 350 in Figure 28 corresponds to the configuration in the second signal generator 310 in Figure 22 where the number n of amplitude modulation units 312(1) to 312(n) is 2, and the output generation unit 313 is an IQ modulation unit. Note that in Figure 28, the parts that are common with Figure 22 are omitted from the explanation.

[0127] In Figure 28, the sixth signal generator 350 generates a first modulated signal (first amplitude modulated wave) having a first frequency. AM1 A first amplitude modulation unit 351 outputs (t), and a second modulated signal (second amplitude modulated wave) s having a second frequency different from the first frequency. AM2 The system includes a second amplitude modulation unit 352 that outputs (t) and an IQ modulation unit 353 that acts as an output generation unit. The IQ modulation unit 353 outputs the modulationed signal (first amplitude modulated wave) s of the amplitude modulation output from the first amplitude modulation unit 351. AM1 Let (t) be the in-phase component signal I(t), and the modulated signal (second amplitude modulated wave) output from the second amplitude modulation unit 352 is s AM2 By performing IQ modulation with (t) as the orthogonal component signal Q(t), the modulated signal (frequency modulated wave) s FM (t) is generated. This frequency modulated wave s FM (t) is output as output signal 354.

[0128] According to the signal generator 350 in Figure 28, two amplitude-modulated waves s AM1 (t), s AM2 By IQ modulating (t) with the in-phase and orthogonal components respectively, a frequency modulated wave s with instantaneous amplitude and instantaneous frequency changes in a multi-tone environment is obtained. FM (t) can be generated.

[0129] [7th signal generation device] Figure 29 is a block diagram showing an example of the main components of the seventh signal generator 360 according to this embodiment. The seventh signal generator 360 in Figure 29 comprises two sets of the configuration of the sixth signal generator 350 in Figure 28 described above. Note that in Figure 29, the parts that are common with Figures 22 and 28 described above will not be explained.

[0130] In Figure 29, the seventh signal generator 360 comprises a first frequency modulated wave generation unit 366(1), a second frequency modulated wave generation unit 366(2), and an output generation unit 365. The first frequency modulated wave generation unit 366(1), similar to the sixth signal generator 350 in Figure 28, comprises a first amplitude modulation unit 361(1), a second amplitude modulation unit 362(1), and an IQ modulation unit 363(1), and modulates the first frequency modulated signal (frequency modulated wave) s generated by modulation in the IQ modulation unit 363(1). FM1 (t) is output as output signal 364(1). The second frequency modulated wave generation unit 366(2) is similar to the sixth signal generation device 350 in Figure 28 above, and includes a second amplitude modulation unit 361(2), a second amplitude modulation unit 362(2), and an IQ modulation unit 363(2), and modulates the second frequency modulated signal (frequency modulated wave) s generated by modulating in the IQ modulation unit 363(2). FM2 (t) is output as output signal 364(2). The final stage output generation unit 365 outputs multiple frequency modulated modulated signals (frequency modulated waves) s from multiple sets of first frequency modulated wave generation units 366(1) and second frequency modulated wave generation units 366(2), respectively. FM1 (t), s FM2 (t) is combined to form a modulated signal s with amplitude modulation and frequency modulation that has instantaneous amplitude change and instantaneous frequency change. AMFM Generate (t).

[0131] According to the signal generation device 360 ​​in Figure 29, two frequency modulated waves s are output from two sets of first frequency modulated wave generation units 366(1) and second frequency modulated wave generation units 366(2), each having an IQ modulation unit 363(1) and an IQ modulation unit 363(2). FM1 (t), s FM2 By synthesizing (t), an amplitude-frequency modulated wave s having instantaneous amplitude and instantaneous frequency changes in a multitone environment is obtained. AMFM (t) can be generated.

[0132] [8th signal generation device] Figure 30 is a block diagram showing an example of the main components of the eighth signal generator 370 according to this embodiment. The eighth signal generator 370 in Figure 30, like the seventh signal generator 360 in Figure 29, comprises two sets of the configuration of the sixth signal generator 350 in Figure 28. Note that in Figure 30, the parts that are common with Figures 22, 28, and 29 described above will not be explained.

[0133] In Figure 30, the eighth signal generator 370 comprises a first frequency modulated wave generation unit 377(1), a second frequency modulated wave generation unit 377(2), and an output generation unit 376. The first frequency modulated wave generation unit 377(1) comprises a first amplitude modulation unit 371(1), a second amplitude modulation unit 372(1), an IQ modulation unit 373(1), and a power amplifier 375(1), and modulates the first frequency modulated signal (frequency modulated wave) s generated by the IQ modulation unit 373(1). FM1 (t) is output as output signal 374(1) and amplified by power amplifier 375(1). The second frequency modulated wave generation unit 377(2) comprises a second amplitude modulation unit 371(2), a second amplitude modulation unit 372(2), an IQ modulation unit 373(2), and a power amplifier 375(1), and modulated signal (frequency modulated wave) s of the second frequency modulation generated by modulating in the IQ modulation unit 373(2) FM2 (t) is output as output signal 374(2) and amplified by power amplifier 375(1).

[0134] The final stage output generation unit 376 outputs multiple frequency-modulated modulated signals (frequency-modulated waves) from the power amplifiers 375(1) and 375(2) of the multiple sets of first frequency-modulated wave generation units 377(1) and second frequency-modulated wave generation units 377(2). FM1 (t), s FM2 (t) is combined to form a modulated signal s with amplitude modulation and frequency modulation that has instantaneous amplitude change and instantaneous frequency change. AMFM Generate (t).

[0135] According to the signal generation device 370 in Figure 30, two frequency modulated waves s are output from two sets of first frequency modulated wave generation units 377(1) and second frequency modulated wave generation units 37(2), each having an IQ modulation unit 373(1) and an IQ modulation unit 373(2). FM1 (t), s FM2 By synthesizing (t), an amplitude-frequency modulated wave s having instantaneous amplitude and instantaneous frequency changes in a multitone environment is obtained. AMFM (t) (multitone modulated wave) can be generated.

[0136] In particular, according to the signal generator 370 in Figure 30, two frequency modulated waves s having an outfading relationship FM1 (t), s FM2 (t) is input to power amplifiers 375(1) and 375(2), and the amplified frequency modulated wave s output from power amplifiers 375(1) and 375(2) FM1 (t), s FM2 Together with the output generation unit 376 that synthesizes (t), a Chireix amplifier (also called an "out-fading amplifier") with high power efficiency is constructed. Therefore, amplitude-frequency modulated wave s is generated with high power efficiency. AMFM (t) (multitone modulated wave) can be generated.

[0137] Furthermore, as shown in the circuit 400 of Figure 31, any of the aforementioned signal generators 300, 310, 320, 330, 340, 350, 360, and 370 may be incorporated as the signal generation circuit 410 to configure a modulated wave generation circuit, power transmission circuit, transmission circuit, conversion circuit, oscillation circuit, amplification circuit, nonlinear circuit, etc.

[0138] [Decomposition of Amplitude-Frequency Modulated Waves (AMFM Modulated Waves)] The AMFM modulated waves generated by the signal generation circuits 340, 360, and 370 in Figures 27, 29, and 30, respectively, according to the following equation (55), can be decomposed into any FM modulated wave.

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[0139] Here, as shown in equation (56) below, the AMFM modulated wave s AMFM (t) is two FM modulated waves s FM1 ,s FM2 Let's consider decomposing it into (hereinafter also referred to as "FM decomposed waves").

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[0140] At this time, the FM modulated wave s FM1 ,s FM2 These can be expressed as shown in equations (57) and (58) below, where Amax = max(|A(t)|).

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[0141] As shown in equations (57) and (58) above, two phases φ AMFM and φ env If you understand that, then the above FM modulated wave s FM1 ,s FM2 Any FM decomposition can be achieved.

[0142] The phase φ in equations (57) and (58) above env This can be calculated from equation (60) below, after defining equation (59) below.

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[0143] You may substitute A(t) from equation (61) below into equation (59) above and use it.

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[0144] Since the above A(t) is continuous in principle, the above phase φ env It is also continuous. Phase φ env Since the necessary and sufficient condition required is continuity, equation (60) above holds true.

[0145] The phase φ in equations (57) and (58) above AMFM In conventional calculation methods, it was believed that this could be calculated using any inverse trigonometric function and the following equation (62) or equation (63). However, φ0 is the initial phase.

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[0146] φ derived from equation (62) or equation (63) above AMFM Using this, the AMFM modulated wave s(t) can be expressed as shown in equation (64).

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[0147] However, the above equation (64), derived using conventional calculation methods, has practical flaws. For example, regardless of which inverse trigonometric function (arcsin, arccos) is used, the phase φ calculated using equation (62) or equation (63) is... AMFM This creates a fold, as shown by the dashed line in Figure 32.

[0148] Here, the correct FM decomposed waveform that we want to calculate does not exhibit aliasing, as shown in Figure 33. However, when using the conventional calculation method described above, the calculated FM decomposed waveform exhibits aliasing, as shown in Figure 34, and the correct FM decomposed waveform cannot be obtained.

[0149] Therefore, in the embodiments of this disclosure, in order to eliminate the above aliasing and obtain the correct FM resolved wave, φ' is used with the following equation (65) or equation (66). AMFM Define and use equations (67) to (69) to define the phase φ AMFM Calculate.

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[0150] The above phase φ env also and phase φ AMFM Using the following equations (70) and (71), the FM modulated wave s obtained by decomposing the AMFM modulated wave is obtained. FM1 ,s FM2 It is possible to calculate this.

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[0151] If we know that the AMFM modulated wave we want to decompose is obtained by the sum of trigonometric functions, then we can use the instantaneous frequency change f(t) in equation (53) above to obtain the phase φ in equation (72) below. AMFM This can be calculated. However, the initial phase φ0 is obtained from f(t)=0 and f'(t)=0. If the phase information of the sine wave (carrier wave) before modulation is unnecessary, the initial phase φ0=0 may be set.

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[0152] [Decomposition of amplitude-frequency modulated wave (AMFM modulated wave) generated by IQ modulation] In the case of AMFM modulated waves (hereinafter also referred to as "IQ modulated waves" or "IQ modulated signals") generated by the signal generation circuits 340, 360, and 370 in Figures 29 and 30, as described above, they can be decomposed into FM modulated waves as follows.

[0153] The IQ modulated signal S(t) can be written, for example, as shown in equation (73) below. Here, A i (t) and A q (t) represents the amplitudes of the common-mode signal (I signal) and the quadrature signal (Q signal) before IQ modulation, respectively.

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[0154] At this time, the amplitude A(t) and frequency f of the IQ modulated signal S(t) AMFM (t) can be expressed as shown in equations (74) and (75) below, where ω is the frequency of the carrier wave (sine wave).

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[0155] From equations (74) and (75) above, and from equations (61) and (72) mentioned above, the phase φ envand phase φ AMFM The amplitude A of the I signal can be calculated using the following equations (76) and (77). That is, when decomposing an IQ modulated signal (amplitude frequency modulated wave), the amplitude A of the I signal i (t) and the amplitude A of the Q signal q If (t) is known, then the FM modulated wave s FM1 ,s FM2 It can be broken down into its components.

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[0156] Furthermore, the analytical solutions to equations (78) and (79) can be derived from equation (77) above.

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[0157] [Decomposition of frequency modulation (FM modulated wave)] The FM modulated wave s generated by the signal generation circuit 330 in Figure 26 mentioned above FM Multiple AM ​​modulated waves s obtained by decomposing AM ,s AM This can be derived from the addition formula as shown in equation (80). Here, A in equation (80) is a constant.

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[0158] For example, using an arbitrary frequency ω0 (≠0), φ FM =(φ' FM If we set +ω0t, then the FM modulated wave s FM This can be expressed as shown in equation (81). That is, any FM modulated wave can be decomposed into multiple AM ​​modulated waves.

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[0159] [Decomposition of frequency-modulated waves (FM modulated waves) generated by IQ modulation] The FM modulated wave s generated by IQ modulation in the signal generation circuit 350 shown in Figure 28 above FM This can be derived from the addition theorem as shown in equation (84) below, when the common-mode signal I and quadrature signal Q before modulation are represented by equations (82) and (83) below, respectively. Here, ω in equations (82) and (83) carrier is the frequency of the carrier wave (sine wave).

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[0160] [Decomposition of amplitude-frequency modulated wave (AMFM modulated wave) generated by IQ modulation] If the common-mode signals I1, I2 and quadrature signals Q1, Q2 before modulation by IQ modulation in the signal generation circuit 360 shown in Figure 29 are represented by equations (85) to (88) below, then the AMFM modulated wave s of the arbitrary waveform generated by the signal generation circuit 360 is AMFM As shown in equations (89) to (94) below, two FM modulated waves s FM1 ,s FM1 It can be broken down into its components.

[0161]

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[0162]

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[0163] The phase φ of equations (89) to (92) above env and phase φ AMFM In addition, the φ of the aforementioned equation (76) env and φ of equation (77) or equation (78) of the aforementioned analytical solution AMFM By substituting this, the AMFM modulated wave s AMFM The two FM modulated waves s that were decomposed FM1 ,s FM1 It is possible to find this.

[0164] For example, the amplitudes of the common-mode signals I1 and I2, which are IQ signals used to generate the AMFM modulated wave (IQ modulated signal) to be decomposed, are A i Let (t) be the amplitude of the orthogonal signals Q1 and Q2 be A. q When (t) is the case, the common-mode signals I1 and I2 and the quadrature signals Q1 and Q2 are expressed by the following equations (95) to (98).

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[0165] As shown in equation (99) below, the AMFM modulated wave (IQ modulated signal) s(t) is two FM modulated waves s FM1 ,s FM2 When decomposed into, the FM modulated wave after decomposition is s FM1 ,s FM2 This can be calculated using the following equations (100) and (101).

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[0166] The analytical formulas for instantaneous frequency fluctuation characteristics in a multi-tone environment (equations (45) to (49) above) can also be used in various simulations. Simulations in which the aforementioned analytical formulas can be used include, for example, simulations for analyzing the behavior of waves in a nonlinear system in a multi-tone environment. Other simulations in which the aforementioned analytical formulas can be used include, for example, wave propagation simulations, simulations for evaluating distortion in communication using low-noise amplifiers, simulations for evaluating frequency shift phenomena caused by arranging multiple sound sources, or simulations for evaluating received power when a modulated wave is input to a rectenna in wireless power transmission. Here, wave propagation simulation is defined as the analysis of physical phenomena whose behavior is described by wave equations, such as sound waves and electromagnetic waves. Examples of physical phenomenon analyses include electromagnetic field analysis, sound analysis, and optical propagation analysis.

[0167] [First Simulation Apparatus and Method] Figure 35 is a block diagram showing an example of the main components of the first simulation apparatus 500 according to the embodiment. The simulation apparatus 500 in Figure 35 is a device that performs simulations to analyze the behavior of waves in a nonlinear system in a multitone environment. In Figure 35, the first simulation apparatus 500 includes a storage unit 501, a single-tone wave generation unit 502, and an output generation unit 503.

[0168] The memory unit 501 stores multiple constants or time-varying variables, which are amplitude (A) applied to multiple amplitude-modulated single-tone waves (k=1 to n) (where n is an integer of 2 or more) represented by the following formula (102). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k It stores the setting data of ).

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[0169] The single-tone wave generation unit 502 generates the plurality of amplitudes (Ak ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k This generates multiple amplitude-modulated single-tone waves to which the following parameters are applied.

[0170] The output generation unit 503 synthesizes multiple single-tone waves generated by the single-tone wave generation unit 502 to generate an output signal s(t) (multitone modulated wave) corresponding to the following equation (103) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t).

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[0171] In equation (103) above, for example, the instantaneous amplitude change A(t) is expressed as a time function of equation (104) below, the instantaneous frequency change f(t) is expressed as a time function of equation (105) below, and the output signal s(t) is expressed as a time function of equation (106) below.

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[0172] Figure 36 is a flowchart showing an example of a simulation in the first simulation apparatus 500 according to the embodiment. In the first simulation method S130 of Figure 36, first, a plurality of constants or time-varying variables, which are amplitude (A), are applied to a plurality of amplitude-modulated single-tone waves (k=1 to n) (n is an integer of 2 or more) represented by the above formula (102). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The settings are configured and these setting data is stored in the storage unit 501 (S131).

[0173] Here, multiple frequencies (f k =ω k (f / 2π) can be the same frequency or multiple frequencies (f k =ω k Some or all of the (A) may be multiple frequencies that are different from each other. Also, multiple amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The settings may be configured by an operator or user of the device 500 via a user interface, control unit, remote control, etc., or the device 500 may be configured automatically based on various conditions.

[0174] Next, the single-tone wave generation unit 502 generates multiple amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The setting data of ) is read from the storage unit 501, and multiple (k=1~n) amplitude-modulated single-tone waves A are generated by applying that setting data. k (t)sin(ω k t+φ k ) generates (S132).

[0175] Next, the output generation unit 503 generates multiple single-tone waves A generated by the single-tone wave generation unit 502. k (t)sin(ω k t+φ k The above equations (103) or (106) are combined to generate an output signal s(t) (multitone modulated wave) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) (S133).

[0176] According to the simulation apparatus 500 and simulation method S130 shown in Figures 35 and 36, based on the proposed equations (102) to (106) above, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) in a multitone environment. This enables various simulations of physical phenomena with instantaneous frequency fluctuation characteristics in a multitone environment.

[0177] When performing the aforementioned wave propagation simulation, the analytical formula for instantaneous frequency fluctuation characteristics in the multitone environment described above can be used in conjunction with other analytical methods for wave phenomena. Other analytical methods that can be used in conjunction include, for example, OFDM (Orthogonal Frequency Division Multiplexing), finite element method, momentum method, and ray tracing method.

[0178] In the embodiments of this disclosure, the relationship between the analytical formula for instantaneous frequency fluctuation characteristics and the ray tracing method will be explained. The ray tracing method is a method for determining the propagation path by treating electromagnetic waves (radio waves) as light (rays) based on the geometrical optics approximation. In the ray tracing method, the electromagnetic waves of the transmitted signal sk transmitted from multiple transmitting stations (wave sources) k located at multiple transmission points propagate and reach a receiving point located at a certain coordinate (x) at time t, and the intensity s(x,t) of the received signal received is expressed by the following equation (107) for each transmitting station (wave source). k This is a constant set for each wave source.

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[0179] The time variation of the intensity s(x,t) of the received signal of the electromagnetic wave reaching the above receiving point can be output as a arrival profile, for example, as shown in Figure 37.

[0180] [Second Simulation Apparatus and Method] Figure 38 is a block diagram showing an example of the main components of the second simulation apparatus 510 according to the embodiment. The simulation apparatus 510 in Figure 38 is a device that performs simulations to analyze the behavior of waves in a nonlinear system in a multitone environment. Here, the nonlinear system in the multitone environment includes a space (for example, an n-dimensional analysis space) having multiple wave sources (k=1 to n) (n is an integer of 2 or more) that emit waves such as electromagnetic waves and sound waves. In particular, the second simulation apparatus 510 is an example of a simulation apparatus that uses the analysis formula for instantaneous frequency fluctuation characteristics in conjunction with the ray tracing method.

[0181] In Figure 38, the second simulation device 510 includes a storage unit 511, a single-tone wave generation unit 512, an output generation unit 513, a mesh division unit 514, and a destination profile output unit 515.

[0182] The memory unit 511 stores multiple constants or time-varying variables, which are amplitude (A) applied to multiple amplitude-modulated single-tone waves (k=1 to n) (where n is an integer greater than or equal to 2) represented by the following formula (108). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k It stores the setting data of ).

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[0183] Furthermore, the memory unit 511 sets for each of the multiple wave sources k (wave source 1 to wave source n) (where k=1 to n is an integer of 2 or more) in the target space the position of the wave source k in that space and the waves s emitted by the wave source k. k The system stores the setting data for the modulation information of (t) and the setting data for the wave propagation characteristics in that space (which may include the material of the medium).

[0184] The single-tone wave generation unit 512 generates the multiple amplitudes (A) emitted by each wave source based on the setting data of the modulation information. k ), the plurality of frequencies (f k =ωk / 2π) and the plurality of phases (φ k This generates multiple amplitude-modulated single-tone waves to which the following parameters are applied.

[0185] The output generation unit 513 synthesizes multiple single-tone waves emitted by multiple wave sources generated by the single-tone wave generation unit 512 for each mesh described later, and generates an output signal s(t) (multitone modulated wave) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t), according to the following equation (109).

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[0186] In equation (109) above, for example, the instantaneous amplitude change A(t) is expressed as a time function of equation (110) below, the instantaneous frequency change f(t) is expressed as a time function of equation (111) below, and the output signal s(t) is expressed as a time function of equation (112) below.

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[0187] The mesh division unit 514 performs a process to divide the target space into multiple meshes.

[0188] The arrival profile output unit 515 outputs the wave s(t) from multiple wave sources k for each of the multiple meshes, based on the output signal s(t) from the output generation unit 513 and the setting data of the wave propagation characteristics in the space. k The following equation (113) outputs the arrival profile for each mesh, including the amplitude, frequency, and time variation of multiple waves (k=1 to n) that (t) has reached.

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[0189] The second simulation device 510 may include a simulation result calculation unit 516 that calculates the results of various simulations based on the arrival profile for each mesh. Here, the simulations are, for example, simulations to evaluate distortion in communication using a low-noise amplifier, simulations to evaluate frequency shift phenomena caused by arranging multiple sound sources, or simulations to evaluate received power when a modulated wave is input to a rectenna in wireless power transmission.

[0190] Figure 39 is a flowchart showing an example of a simulation in the second simulation device 510 according to the embodiment. In the second simulation method S140 of Figure 39, first, the target space is divided into a plurality of meshes of predetermined size and shape by the mesh division unit 514 (S141). The size and shape of the mesh may be set according to the content of the simulation.

[0191] Next, for each of the multiple wave sources k (wave source 1 to wave source n) in the target space (k=1 to n) (where n is an integer of 2 or more), we set the position of wave source k in that space and the wave s emitted by wave source k. k The modulation information setting data for (t) and the wave propagation characteristics in the space (which may include the material of the medium) are set, and these setting data are stored in the storage unit 511 (S142).

[0192] Furthermore, the amplitude (A) is a set of multiple constants or time-varying variables applied to multiple amplitude-modulated single-tone waves (k=1 to n) (where n is an integer greater than or equal to 2) represented by the above equation (112). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The settings are configured and these setting data is stored in the storage unit 511 (S143).

[0193] Here, multiple frequencies (f k =ω k (f / 2π) can be the same frequency or multiple frequencies (fk =ω k Some or all of the (A) may be multiple frequencies that are different from each other. Also, the aforementioned mesh size and shape, modulation conditions, wave propagation characteristics, and multiple amplitudes (A) may be used. k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The settings may be configured by an operator or user of the device 510 via a user interface, control unit, remote control, etc., or the device 510 may automatically configure them based on various conditions.

[0194] Next, the single-tone wave generation unit 512 sets the modulation conditions and multiple amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k The setting data of ) is read from the storage unit 511, and multiple (k=1~n) amplitude-modulated single-tone waves A are generated by applying that setting data. k (t)sin(ω k t+φ k ) generates (S144).

[0195] Next, the output generation unit 513 generates multiple single-tone waves A generated by the single-tone wave generation unit 512. k (t)sin(ω k t+φ k The above equations (109) or (112) are combined to generate an output signal s(t) (multitone modulated wave) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) (S143).

[0196] Next, the arrival profile output unit 515, based on the output signal s(t) from the output generation unit 513 and the setting data of the wave propagation characteristics in the space, generates a profile for each of the multiple meshes, and generates a profile for each of the multiple wave sources k from the multiple wave sources k. k The arrival profile of equation (113) above, which includes the amplitude, frequency, and time variation of multiple waves (k=1 to n) that (t) has reached, is output for each mesh (S416).

[0197] Furthermore, as an optional process, the simulation result calculation unit 516 may calculate various simulation results, such as the evaluation of communication distortion, the evaluation of frequency shift phenomena, and the evaluation of received power, based on the arrival profile for each mesh (S147).

[0198] According to the simulation device 510 and simulation method S140 shown in Figures 38 and 39, based on the proposed equations (108) to (112) above, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) in a multitone environment, and to output the arrival profile of the wave for each mesh. Therefore, it becomes possible to simulate various physical phenomena related to wave propagation with instantaneous frequency fluctuation characteristics in a multitone environment.

[0199] In particular, the simulation apparatus 510 and simulation method S140 according to the embodiment of this disclosure can calculate instantaneous amplitude and instantaneous frequency at any position in the target space. Furthermore, since the arrival profile for each mesh output from the arrival profile output unit 515 can be reused, it becomes possible to study a variety of use cases. In addition, the arrival profile output for each mesh based on the output signal s(t) of equation (109) or equation (112) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) is useful for analyzing phenomena where instantaneous characteristics are important.

[0200] [3. Simulation Apparatus and Method] Figure 40 is a block diagram showing an example of the main components of the third simulation device 520 according to the embodiment. The simulation device 520 in Figure 40 is a device that performs simulations for analyzing circuits having nonlinear characteristics in a multitone environment (hereinafter also referred to as "nonlinear circuits"). In Figure 40, the third simulation device 520 includes a storage unit 521, a single-tone wave generation unit 522, an output generation unit 523, an input unit 524, and a circuit characteristic calculation unit 525. Note that the storage unit 521, single-tone wave generation unit 522, and output generation unit 523 in Figure 40 have the same configuration and operation as the storage unit 501, single-tone wave generation unit 502, and output generation unit 503 in Figure 35, so their explanation is omitted.

[0201] The input unit 524 simulates inputting an input signal s(t) given by the following equation (114), which has an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t), to a modeled circuit under analysis that has nonlinear characteristics.

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[0202] The circuit characteristic calculation unit 525 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

[0203] Figure 41 is a flowchart showing an example of a simulation in the third simulation apparatus 520 according to the embodiment. Steps S151 to S153 of the first simulation method S150 in Figure 41 are the same as steps S131 to S133 in Figure 36, so their explanation is omitted.

[0204] In the third simulation method S150 shown in Figure 41, after the output signal s(t) is generated by the output generation unit 523 (S151-S153), the input signal s(t) of equation (114) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) is simulated by the input unit 524 into the modeled circuit under analysis which has nonlinear characteristics (S154).

[0205] Next, the circuit characteristic calculation unit 525 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit (S155).

[0206] According to the simulation apparatus 520 and simulation method S150 shown in Figures 39 and 40, based on the proposed formula, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) in a multitone environment. This enables various simulations of physical phenomena with instantaneous frequency fluctuation characteristics in a multitone environment.

[0207] Here, the circuit under analysis is a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that show the relationship between the input and output of the circuit. For example, if the conversion circuit 820 in Figure 19 is a high-frequency conversion circuit, an arbitrary input signal s(t) of the above equation (114), generated by synthesizing multiple amplitude-modulated single-tone waves, can be input to the high-frequency conversion circuit 820, and the characteristics of the high-frequency conversion circuit 820 can be calculated based on the signal output from the high-frequency conversion circuit 820. In particular, even if the high-frequency conversion circuit 820 is a nonlinear circuit having nonlinear characteristics where the input-output relationship is nonlinear, it is possible to calculate the output g(A(t),f(t)), which is a function of the instantaneous amplitude change A(t) and instantaneous frequency change f(t) of the nonlinear circuit, and perform nonlinear circuit operation analysis.

[0208] Furthermore, the circuit under analysis is a rectifier circuit that constitutes a rectenna of a wireless power receiving device, and the characteristics of the circuit may be its steady-state efficiency η. For example, when an arbitrary input signal s(t) of equation (114) generated by synthesizing multiple amplitude-modulated single-tone waves is input to the rectifier circuit, the power density distribution PPD(p,f) of the modulated input signal s(t) with respect to power p and frequency f can be calculated. The power density distribution PPD(p,f) of this rectifier circuit and the continuous wave characteristics (efficiency η when a continuous wave is input with average power p and frequency f, when the output voltage is ν) can be calculated. CW Using (p,f,ν), the efficiency η when a modulated wave is input is shown in the following equation (115). mod This allows for the calculation of the value and enables steady-state analysis of the rectifier circuit.

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[0209] Furthermore, the circuit to be analyzed is an amplification circuit (amplifier), and the characteristics of the circuit may be the output waveform and efficiency of the amplification circuit (amplifier). For example, by combining the characteristics of the amplification circuit (amplifier) ​​when a continuous wave is input, the output waveform and efficiency when a modulated wave is input can be calculated. Here, the signal s input to the amplification circuit (amplifier) in If the modulated wave is as shown in equation (116), the output signal s out The waveform can be calculated using the following equation (117). However, G in equation (117) is the gain of the amplification circuit (amplifier) ​​which depends on the amplitude and frequency of the input signal.

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[0210] Furthermore, the signal s generated based on the proposed formula mentioned above inBy utilizing this method, it is possible to calculate the instantaneous characteristics of various multi-tone interference waves in an amplification circuit (amplifier). Furthermore, since input-output characteristics can be obtained for various cases, inverse correction using machine learning and optimization becomes possible, as described later. For example, inverse correction of the input of an amplification circuit (amplifier) ​​becomes possible using machine learning and optimization.

[0211] [Measurement device and method] Figure 42 is a block diagram showing an example of the main components of the measuring device 600 according to the embodiment. The measuring device 600 in Figure 42 is a device for measuring a circuit having nonlinear characteristics in a multitone environment (hereinafter also referred to as a "nonlinear circuit"). In Figure 42, the measuring device 600 comprises a storage unit 601, a single-tone wave generation unit 602, an output generation unit 603, an input unit 604, an output measurement unit 605, and a circuit characteristic calculation unit 606. Note that the storage unit 601, single-tone wave generation unit 602, and output generation unit 603 in Figure 42 have the same configuration and operation as the storage unit 501, single-tone wave generation unit 502, and output generation unit 503 in Figure 35, so their explanation will be omitted.

[0212] The input unit 604 inputs an input signal s(t) given by the following equation (118), which has an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t), to the actual circuit to be measured.

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[0213] The output measurement unit 605 measures the signal output from the circuit to which the input signal s(t) has been input.

[0214] The circuit characteristic calculation unit 606 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

[0215] Figure 43 is a flowchart showing an example of measurement using the measuring device 600 according to the embodiment. Steps S161 to S163 of the measurement method S160 in Figure 43 are the same as steps S131 to S133 in Figure 36, so their explanation will be omitted.

[0216] In the measurement method S160 shown in Figure 43, after the output signal s(t) is generated by the output generation unit 603 (S151-S153), the input signal s(t) of the above equation (118), which has an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t), is input by the input unit 604 to the nonlinear circuit of the object to be measured, which has nonlinear characteristics (S164).

[0217] Next, the output measurement unit 605 measures the signal output from the circuit (S165).

[0218] Next, the circuit characteristic calculation unit 607 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit (S165).

[0219] According to the measurement device 600 and measurement method S160 shown in Figures 42 and 43, a multitone modulated signal s(t) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) in a multitone environment is generated based on the proposed formula and input to the nonlinear circuit to be measured. Based on the signal output from the circuit, the characteristics of the nonlinear circuit can be calculated.

[0220] Here, the circuit to be measured is a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that show the relationship between the input and output of the circuit. For example, an arbitrary multi-tone modulated signal s(t) of the above equation (119), generated by synthesizing multiple amplitude-modulated single-tone waves, can be input to the high-frequency amplifier (amplifier circuit) 830 shown in Figure 44, and the characteristics of the amplifier (amplifier circuit) 830 (e.g., output waveform, efficiency, instantaneous characteristics of multi-tone interference waves, etc.) can be calculated based on the signal output from the amplifier (amplifier circuit) 830, enabling nonlinear circuit operation analysis.

[0221] Furthermore, the circuit being measured is a rectifier circuit that constitutes a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency characteristics of the rectifier circuit (for example, the efficiency η in a steady state).

[0222] [Machine Learning Devices and Methods] Figure 45 is a block diagram showing an example of the main components of a machine learning device 700 according to an embodiment. The machine learning device 700 is a device that generates trained models that can be used to analyze the characteristics of circuits. In Figure 45, the machine learning device 700 comprises a data storage unit 701, a learning unit 702, and a model generation unit 703.

[0223] The data storage unit 701 calculates the output signal from the circuit when the input signals s(t) are input, for a plurality of input signals s(t) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) according to the following equation (119) input to the circuit, and stores a plurality of sets of input / output characteristic data showing the relationship between the plurality of input signals s(t) and the output signal.

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[0224] The learning unit 702 uses the data of the multiple sets of input / output characteristics as training data to perform machine learning.

[0225] The model generation unit 703 generates a trained model of the circuit's characteristics based on the machine learning results from the learning unit 702.

[0226] The aforementioned trained model is, for example, a machine learning model generated by machine learning using multiple sets of training data (supervised learning data), each set consisting of input signal data to the circuit, output signal data from the circuit, and circuit characteristic data (teacher data) for one or more circuits. This trained model, for example, outputs the optimal input signal data as the target variable when circuit output signal data and desired circuit characteristic data are input as explanatory variable data.

[0227] The algorithm used in the trained model of this embodiment is not limited to a specific algorithm. For example, as the algorithm for a machine learning model trained using training data (supervised learning data), SVR (Support Vector Regression), which is classified as "Regression" and learns numerical data to predict numerical values, can be used. Instead of SVR, linear regression (Ordinary Regression), Bayesian linear regression, random forest (Decision) forest, boosted decision tree, fast forest quantile, neural network, Poisson regression, support vector ordinal regression, ridge regression, Lasso regression, etc. may also be used.

[0228] Figure 46 is a flowchart showing an example of machine learning in the machine learning device 700 according to the embodiment. Steps S171 to S173 of the machine learning method S170 in Figure 46 are the same as steps S131 to S133 in Figure 36, so their explanation is omitted.

[0229] In the machine learning method S170 shown in Figure 46, the input signal s(t) of equation (119) having an initial phase φ0, instantaneous amplitude change A(t), and instantaneous frequency change f(t) is simulated as input to the target circuit for machine learning (S174), and the output signal from the target circuit is calculated (S175). The input signal s(t), output signal, and input / output characteristic data of the target circuit are stored in the data storage unit 701 as a set of training data (supervised learning data). The data storage unit 701 stores multiple sets of input signal s(t), output signal, and input / output characteristic data obtained for one or more target circuits (S176).

[0230] Next, the learning unit 702 performs machine learning using the data of multiple sets of input signals, output signals, and input / output characteristics stored in the data storage unit 701, and the model generation unit 703 generates a trained model of a predetermined algorithm (S177).

[0231] Here, the circuit targeted by machine learning may be a high-frequency conversion circuit, and the characteristics of the circuit may be the conversion characteristics that show the relationship between the input and output of the circuit. Alternatively, the circuit targeted by machine learning may be a rectifier circuit that constitutes a rectenna of a wireless power receiving device, and the characteristics of the circuit may be the efficiency characteristics of the rectifier circuit (for example, the efficiency η in a steady state). Alternatively, the circuit targeted by machine learning may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

[0232] [Demodulator] Figure 47 is a block diagram showing an example of the main components of a demodulator 710 according to an embodiment. The demodulator 710 is a device that performs demodulation to restore the input signal of a circuit. In Figure 47, the demodulator 710 includes a storage unit 711, an output measurement unit 712, a demodulation unit 713, and a demodulation result output unit 714.

[0233] The memory unit 711 stores the trained model generated by one of the machine learning devices or methods described above.

[0234] The output measurement unit 712 measures the output of the target circuit.

[0235] The demodulation unit 713 uses the learned model to generate a signal that reconstructs the input signal of the target circuit based on the measurement results of the output signal of the target circuit.

[0236] The demodulation result output unit 714 outputs the input signal to the circuit that was restored and generated by the demodulation unit 713.

[0237] [Optimization device] Figure 48 is a block diagram showing an example of the main components of an optimization device 720 according to an embodiment. The optimization device 720 is a device that optimizes a target circuit. In Figure 48, the optimization device 720 includes a storage unit 721, a condition setting unit 722, an optimization processing unit 723, an optimization result output unit 724, and an inverse correction unit 725.

[0238] The memory unit 721 stores the trained model generated by one of the machine learning devices or methods described above.

[0239] The condition setting unit 722 sets the conditions that are prerequisites for optimizing the target circuit.

[0240] The optimization processing unit 723 uses the trained model to optimize the target circuit by correcting at least one of its characteristics and parameters under the conditions described above.

[0241] The optimization result output unit 724 outputs at least one of the characteristics and parameters of the circuit optimized by the optimization processing unit 723.

[0242] The inverse correction unit 725 corrects the input signal to the circuit based on at least one of the characteristics and parameters of the circuit optimized by the optimization processing unit 723.

[0243] As described above, according to the embodiments of this disclosure, it is possible to generate any multi-tone modulated wave in a multi-tone environment, and to analyze, reproduce, and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0244] Furthermore, the apparatus, methods, systems, circuits, programs, etc. of this disclosure can be useful, for example, in the system design of wireless power transmission, the improvement of the efficiency of wireless power transmission, the evaluation of the effects of multitone interference in wireless communication, and the improvement of the quality of wireless communication, and can thus contribute to achieving Sustainable Development Goal (SDG) 9, "Build resilient infrastructure, promote inclusive and sustainable industrialization and foster innovation."

[0245] Furthermore, the processing steps, signal generation apparatus and methods, signal demodulation apparatus, measurement apparatus, simulation apparatus, circuit analysis apparatus, transmission apparatus, communication system, power transmission apparatus, wireless power transmission system, and circuit components described herein can be implemented by various means. For example, these processes and components may be implemented in hardware, firmware, software, or a combination thereof.

[0246] With respect to hardware implementation, means such as processing units used to realize the above processes and components in a physical entity (e.g., various wireless communication devices, Node B, terminals, hard disk drive devices, or optical disc drive devices) may be implemented in one or more application-specific integrated circuits (ASICs), digital signal processors (DSPs), digital signal processing devices (DSPDs), programmable logic devices (PLDs), field-programmable gate arrays (FPGAs), processors, controllers, microcontrollers, microprocessors, electronic devices, other electronic units designed to perform the functions described herein, computers, or combinations thereof.

[0247] Furthermore, with respect to the firmware and / or software implementation, means such as processing units used to realize the above-mentioned components may be implemented in the form of a program (e.g., code such as procedures, functions, modules, instructions, etc.) that performs the functions described herein. Generally, any computer / processor-readable medium that clearly embodies the firmware and / or software code may be used to implement means such as processing units used to realize the above-mentioned processes and components as described herein. For example, the firmware and / or software code may be stored in memory in a control device, for example, and executed by a computer or processor. That memory may be implemented inside the computer or processor, or it may be implemented outside the processor. Also, the firmware and / or software code may be stored in a computer or processor-readable medium such as random access memory (RAM), read-only memory (ROM), non-volatile random access memory (NVRAM), programmable read-only memory (PROM), electrically erasable PROM (EEPROM), flash memory, floppy disks, compact disks (CDs), digital versatile disks (DVDs), magnetic or optical data storage devices, etc. The code may be executed by one or more computers or processors, and the computers or processors may be made to perform functional embodiments as described herein.

[0248] Furthermore, the medium may be a non-temporary recording medium. Also, the program code may be readable and executable by a computer, processor, or other device or machine, and its format is not limited to a specific format. For example, the program code may be source code, object code, or binary code, or it may be a mixture of two or more of these codes.

[0249] Furthermore, the descriptions of embodiments disclosed herein are provided to enable those skilled in the art to manufacture or use the disclosure. Various modifications to the disclosure will be readily apparent to those skilled in the art, and the general principles defined herein are applicable to other variations without departing from the spirit or scope of the disclosure. Therefore, the disclosure is not limited to the examples and designs described herein, but should be accepted in the broadest sense that conforms to the principles and novel features disclosed herein. [Explanation of symbols]

[0250] 1: Wave source 100: WPT System 110: Power transmission equipment 111: Power transmission antenna 112: Oscillator 113: Modulator 114: Amplifier 120: Power receiving device 121: Receiving antenna 121a: Antenna element 122: Rectifier 200: Communication Systems 210: Transmitter 210:Base station 220: Receiving device 220: Terminal device 300: 1st signal generation device 301: Storage section 302: Single-tone wave generation section 303: Output signal generation unit 310:Second signal generation device 311: Storage section 312: Amplitude Modulation Section 313: Output generation unit 320:Third signal generation device 321: Storage section 322: Frequency Modulation Section 323: Output generation unit 330: 4th signal generation device 331: First Amplitude Modulation Section 332: Second Amplitude Modulation Section 333: Output generation unit 340: 5th signal generation device 341: First frequency modulation section 342: Second frequency modulation section 343: Output generation unit 350: 6th signal generation device 351: First Amplitude Modulation Section 352: Second Amplitude Modulation Section 353: IQ Modulation Unit 354: Output signal 360: 7th signal generation device 361(1): First amplitude modulation section 361(2): Second amplitude modulation section 362(1): First Amplitude Modulation Section 362(2): Second Amplitude Modulation Section 363(1): IQ Modulation Unit 364(1), 364(2): Output signals 366(1): First frequency modulated wave generation unit 366(2): Second frequency modulated wave generation section 370: 8th signal generation device 371(1): First amplitude modulation section 371(2): Second amplitude modulation section 372: Second Amplitude Modulation Section 373: IQ Modulation Unit 374: Output signal 375: Power Amplifier 376: Output generation unit 377(1): First frequency modulated wave generation unit 377(2): Second frequency modulated wave generation section 400: Circuit 410: Signal generation circuit 500: First Simulation Device 501: Storage section 502: Single-tone wave generation section 503: Output generation unit 510: Second Simulation Device 511: Storage section 512: Single tone wave generation section 513: Output generation unit 514: Mesh division section 515: Reach Profile Output Unit 516: Simulation result calculation unit 520: Third Simulation Device 521: Storage section 522: Single tone wave generation section 523: Output generation unit 524: Input section 525: Circuit characteristic calculation unit 600: Measuring device 601: Storage section 602: Single tone wave generation section 603: Output generation unit 604: Input section 605: Output measurement unit 606: Circuit characteristic calculation unit 607: Circuit characteristic calculation unit 610: Conversion circuit 620: Conversion circuit 700: Machine Learning Device 701: Data storage unit 702: Learning Department 703: Model generation unit 710: Demodulator 711: Storage section 712: Output measurement unit 713: Demodulation Unit 714: Demodulation result output unit 720: Optimization device 721: Storage section 722: Condition Setting Section 723: Optimization Processing Unit 724: Optimization result output section 725: Inverse correction unit

Claims

1. A device that generates signals, Multiple constants or time-varying variables, which are amplitude (A), are applied to multiple amplitude-modulated single-tone waves (k = 1 to n) (where n is an integer of 2 or more) represented by the following formula (1). ｋ ), multiple frequencies (f ｋ = ω ｋ / 2π) and multiple phases (φ ｋ A memory unit that stores the setting data of ) and The plurality of amplitudes (A ｋ ), the plurality of frequencies (f ｋ = ω ｋ / 2π) and the plurality of phases (φ ｋ A single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves by applying ) to each of them, synthesize the plurality of single-tone waves and the initial phase φ ０ an output generation unit that generates an output signal s(t) of the following formula (2) having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t); An apparatus characterized by comprising: [Math 1] [Math 2]

2. In the apparatus of claim 1, The instantaneous amplitude change A(t) is expressed as a time function of the following equation (3): The aforementioned instantaneous frequency change f(t) is expressed as a time function of the following equation (4): The output signal s(t) is expressed as a time function of the following equation (5): A device characterized by the following features. [Math 3] [Math 4] [Math 5]

3. A device that generates signals, Multiple amplitude modulation units generate multiple amplitude-modulated signals by amplitude modulating sine waves with different frequencies and phases using different modulation signals, An output generation unit synthesizes the modulated signals of the multiple amplitude modulations output from the multiple amplitude modulation units to generate a modulated signal of frequency modulation having instantaneous amplitude changes and instantaneous frequency changes. An apparatus characterized by comprising:

4. In the apparatus of claim 3, The plurality of amplitude modulation units include a first amplitude modulation unit that outputs a first modulated signal having a first frequency, and a second amplitude modulation unit that outputs a second modulated signal having a second frequency different from the first frequency. The output generation unit is an IQ modulation unit that generates the frequency-modulated signal by performing IQ modulation on the first amplitude-modulated signal and the second amplitude-modulated signal, respectively, using them as in-phase and quadrature-phase components. A device characterized by the following features.

5. In the apparatus of claim 4, The system comprises multiple sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, The output generation unit synthesizes multiple frequency-modulated signals output from the multiple sets of IQ modulation units to generate amplitude-modulated and frequency-modulated signals having instantaneous amplitude changes and instantaneous frequency changes. A device characterized by the following features.

6. In the apparatus of claim 4, The system comprises multiple sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, The output generation unit amplifies the multiple frequency-modulated signals output from the multiple sets of IQ modulation units using an amplifier, synthesizes the multiple frequency-modulated signals amplified by the amplifier, and generates an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes. A device characterized by the following features.

7. A device that generates signals, Multiple frequency modulation units generate multiple frequency-modulated signals by frequency modulating sine waves with different amplitudes using different modulation signals, An output generation unit synthesizes the modulated signals of the multiple frequency modulations output from the multiple frequency modulation units to generate modulated signals of amplitude modulation and frequency modulation having instantaneous amplitude changes and instantaneous frequency changes, An apparatus characterized by comprising:

8. A wireless communication transmitter, A modulation processing unit that generates a modulated signal having instantaneous amplitude changes and instantaneous frequency changes, The system comprises a power amplifier that amplifies the modulated signal, The modulation processing unit comprises any of the devices described in claims 1 to 7. A transmitting device characterized by the following.

9. A wireless communication system, The transmitting device according to claim 8, A transmitting antenna connected to the aforementioned transmitting device, A receiving antenna that receives a transmission signal transmitted from the transmitting device via the transmitting antenna, A receiving device connected to the receiving antenna, A communication system characterized by comprising the following features.

10. A power transmission device for wireless power transmission, A modulation processing unit that generates a modulated signal having instantaneous amplitude changes and instantaneous frequency changes, The system comprises a power amplifier that amplifies the modulated signal, The modulation processing unit comprises any of the devices described in claims 1 to 7. A transmitting device characterized by the following.

11. A wireless power transmission system, A power transmission device according to claim 10, A power transmission antenna connected to the power transmission device, A receiving antenna that receives a transmission signal for wireless power transmission transmitted from the power transmission device via the power transmission antenna, A power receiving device connected to the aforementioned power receiving antenna, A wireless power transmission system characterized by comprising the following features.

12. It is a circuit, Multiple constants or time-varying variables, which are amplitude (A), are applied to multiple amplitude-modulated single-tone waves (k = 1 to n) (where n is an integer of 2 or more) represented by the following formula (6). ｋ ), multiple frequencies (f ｋ = ω ｋ / 2π) and multiple phases (φ ｋ A memory unit that stores the setting data of ) and The plurality of amplitudes (A ｋ ), the plurality of frequencies (f ｋ = ω ｋ / 2π) and the plurality of phases (φ ｋ A single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves by applying ) to each of them, The aforementioned multiple single-tone waves are combined, and the initial phase φ ０ , an output generation unit that generates an output signal s(t) of the following formula (7) having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t), A circuit characterized by comprising: [Math 6] [Number 7]

13. In the circuit of claim 12, The instantaneous amplitude change A(t) is expressed as a time function of the following equation (8): The aforementioned instantaneous frequency change f(t) is expressed as a time function of equation (9) below, The output signal s(t) is expressed as a time function of the following equation (10): A circuit characterized by the following features. [Number 8] [Number 9] [Number 10]

14. It is a circuit, Multiple amplitude modulation units generate multiple amplitude modulation signals by amplitude modulating sine waves with different frequencies and phases with different modulation signals, An output generation unit synthesizes the modulated signals of the multiple amplitude modulations output from the multiple amplitude modulation units to generate a modulated signal of frequency modulation having instantaneous amplitude changes and instantaneous frequency changes. A circuit characterized by comprising:

15. In the apparatus of claim 14, The plurality of amplitude modulation units include a first amplitude modulation unit that outputs a first modulated signal having a first frequency, and a second amplitude modulation unit that outputs a second modulated signal having a second frequency different from the first frequency. The output generation unit is an IQ modulation unit that generates the frequency-modulated signal by performing IQ modulation on the first amplitude-modulated signal and the second amplitude-modulated signal, respectively, using them as in-phase and quadrature-phase components. A circuit characterized by the following features.

16. In the circuit of claim 15, The system comprises multiple sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, The output generation unit synthesizes multiple frequency-modulated signals output from the multiple sets of IQ modulation units to generate amplitude-modulated and frequency-modulated signals having instantaneous amplitude changes and instantaneous frequency changes. A circuit characterized by the following features.

17. In the circuit of claim 15, The system comprises multiple sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, The output generation unit amplifies the multiple frequency-modulated signals output from the multiple sets of IQ modulation units using an amplifier, synthesizes the multiple frequency-modulated signals amplified by the amplifier, and generates an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes. A circuit characterized by the following features.

18. It is a circuit, Multiple frequency modulation units that frequency modulate sine waves with different amplitudes using different modulation signals, An output generation unit synthesizes multiple frequency-modulated signals output from the multiple frequency modulation units to generate an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes. A circuit characterized by comprising:

19. An amplifier circuit having any of the circuits from claims 12 to 18.

20. A method for generating a signal, Multiple constants or time-varying variables, which are amplitude (A) applied to multiple (k=1 to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves represented by the following formula (11), are used. ｋ ), multiple frequencies (f ｋ = ω ｋ / 2π) and multiple phases (φ ｋ ) to store the setting data, The plurality of amplitudes (A ｋ ), the plurality of frequencies (f ｋ = ω ｋ / 2π) and the plurality of phases (φ ｋ This involves generating multiple amplitude-modulated single-tone waves by applying ) to each of them, The aforementioned multiple single-tone waves are combined, and the initial phase φ ０ , to generate an output signal s(t) of the following equation (12) having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t), A method characterized by including [Math 11] [Math 12]

21. In the method of claim 20, The instantaneous amplitude change A(t) is expressed as a time function of the following equation (13): The aforementioned instantaneous frequency change f(t) is expressed as a time function of the following equation (14): The output signal s(t) is expressed as a time function of the following equation (15): A method characterized by the following: [Number 13] [Number 14] [Number 15]

22. A method for generating a signal, The process involves amplitude modulating sine waves with different frequencies and phases using different modulation signals to generate multiple amplitude-modulated signals, The modulated signals of the plurality of amplitude modulations are combined to generate a modulated signal of frequency modulation having instantaneous amplitude changes and instantaneous frequency changes, A method characterized by including

23. A method for generating a signal, The process involves frequency modulating sine waves with different amplitudes using different modulation signals to generate multiple frequency-modulated signals, The modulated signals of the multiple frequency modulations are combined to generate modulated signals of amplitude modulation and frequency modulation having instantaneous amplitude changes and instantaneous frequency changes. A method characterized by including

24. A program for causing a computer or processor to function as any of the devices described in claims 1 to 7.

25. A device for performing simulations to analyze the behavior of waves in a nonlinear system in a multitone environment, Multiple constants or time-varying variables, which are amplitude (A) applied to multiple amplitude-modulated single-tone waves (k = 1 to n) (where n is an integer of 2 or more), represented by the following formula (16): ｋ ), multiple frequencies (f ｋ = ω ｋ / 2π) and multiple phases (φ ｋ A memory unit that stores the setting data of ) and The plurality of amplitudes (A ｋ ), the plurality of frequencies (f ｋ = ω ｋ / 2π) and the plurality of phases (φ ｋ A single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves by applying ) to each of them, The aforementioned multiple single-tone waves are combined, and the initial phase φ ０ an output generation unit that generates an output signal s(t) according to the following equation (17) corresponding to a wave having instantaneous amplitude change A(t) and instantaneous frequency change f(t), An apparatus characterized by comprising: [Number 16] [Number 17]

26. In the apparatus of claim 25, The instantaneous amplitude change A(t) is expressed as a time function of the following equation (18): The aforementioned instantaneous frequency change f(t) is expressed as a time function of the following equation (19): The output signal s(t) is expressed as a time function of the following equation (20): A device characterized by the following features. [Number 18] [Number 19] [Number 20]

27. In the apparatus of claim 25 or 26, The nonlinear system of the multitone environment includes a space having multiple wave sources (k = 1 to n) (where n is an integer of 2 or more) that emit waves. The position of each of the plurality of wave sources in the space and the wave s emitted by the wave source are set for each of the plurality of wave sources. ｋ A storage unit that stores the setting data for the modulation information of (t) and the setting data for the wave propagation characteristics in the space, A division unit that divides the aforementioned space into multiple meshes, For each of the aforementioned multiple meshes, the waves s from the aforementioned multiple wave sources ｋ An output unit that outputs, for each mesh, the arrival profile of the following equation (21) which includes the amplitude, frequency, and time variation of multiple waves (k=1 to n) that (t) has reached, An apparatus characterized by comprising: [Math 21]

28. In the apparatus of claim 27, The apparatus is characterized by comprising a calculation unit that calculates the simulation results based on the reach profile for each mesh.

29. In the apparatus of claim 28, The apparatus is characterized in that the simulation is a simulation to evaluate distortion in communication using a low-noise amplifier, a simulation to evaluate frequency shift phenomena caused by arranging multiple sound sources, or a simulation to evaluate received power when a modulated wave is input to a rectenna in wireless power transmission.

30. A device for performing simulations to analyze circuits with nonlinear characteristics, Initial phase φ ０ The input unit provides an input signal s(t) of the following equation (22), which has an instantaneous amplitude change A(t) and an instantaneous frequency change f(t), to a modeled circuit under analysis that has nonlinear characteristics. A calculation unit calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit. An apparatus characterized by comprising: [Number 22]

31. In the apparatus of claim 30, The circuit to be analyzed is a high-frequency conversion circuit. The characteristics of the circuit are conversion characteristics that show the relationship between the input and output of the circuit. A device characterized by the following features.

32. In the apparatus of claim 30, The circuit under analysis is a rectifier circuit that constitutes a rectenna for a wireless power transmission receiving device. The characteristic of the circuit is its efficiency in a steady state. A device characterized by the following features.

33. In the apparatus of claim 30, The circuit to be analyzed is an amplification circuit. The characteristics of the circuit are the output waveform and efficiency of the amplification circuit. A device characterized by the following features.

34. A method for performing simulations to analyze the behavior of waves in a nonlinear system in a multitone environment, Multiple constants or time-varying variables, which are amplitude (A) applied to multiple (k=1 to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves represented by the following formula (23), are used. ｋ ), multiple frequencies (f ｋ = ω ｋ / 2π) and multiple phases (φ ｋ ) to store the setting data, The plurality of amplitudes (A ｋ ), the plurality of frequencies (f ｋ = ω ｋ / 2π) and the plurality of phases (φ ｋ This involves generating multiple amplitude-modulated single-tone waves by applying ) to each of them, The aforementioned multiple single-tone waves are combined, and the initial phase φ ０ , generating an output signal s(t) according to the following equation (24) corresponding to a wave having instantaneous amplitude change A(t) and instantaneous frequency change f(t), A method characterized by including [Number 23] [Number 24]

35. In the method of claim 34, The instantaneous amplitude change A(t) is expressed as a time function of the following equation (25): The aforementioned instantaneous frequency change f(t) is expressed as a time function of the following equation (26): The output signal s(t) is expressed as a time function of the following equation (27): A method characterized by the following: [Number 25] [Number 26] [Number 27]

36. In the method of claim 34 or 35, The nonlinear system of the multitone environment includes a space having multiple wave sources (k = 1 to n) (where n is an integer of 2 or more) that emit waves. The position of each of the plurality of wave sources in the space and the wave s emitted by the wave source are set for each of the plurality of wave sources. ｋ (t) The setting data for the modulation information and the setting data for the wave propagation characteristics in the space are stored. Dividing the aforementioned space into multiple meshes, For each of the aforementioned multiple meshes, the waves s from the aforementioned multiple wave sources ｋ The arrival profile of the following equation (28), which includes the amplitude, frequency, and time variation of multiple waves (k=1 to n) that (t) has reached, is output for each mesh, A method characterized by including [Number 28]

37. In the method of claim 36, Based on the arrival profile for each mesh and the modulation information of the plurality of wave sources, the initial phase φ at any position in the space ０ This includes generating an output signal s(t) of equation (24) corresponding to a wave having the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), and calculating the result of the simulation. A method characterized by the following:

38. In the method of claim 37, The method is characterized in that the simulation is a simulation to evaluate distortion in communication using a low-noise amplifier, a simulation to evaluate frequency shift phenomena caused by arranging multiple sound sources, or a simulation to evaluate received power when a modulated wave is input to a rectenna in wireless power transmission.

39. A method for performing simulations to analyze circuits with nonlinear characteristics, Initial phase φ ０ The input signal s(t) of the following equation (29), which has an instantaneous amplitude change A(t) and an instantaneous frequency change f(t), is input to the circuit to be analyzed which has nonlinear characteristics. Based on the signal output from the circuit, the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), are calculated. A method characterized by including [Number 29]

40. In the method of claim 39, The circuit to be analyzed is a high-frequency conversion circuit. The characteristics of the circuit are conversion characteristics that show the relationship between the input and output of the circuit. A method characterized by the following:

41. In the method of claim 40, The circuit under analysis is a rectifier circuit that constitutes a rectenna for a wireless power transmission receiving device. The characteristic of the circuit is the efficiency characteristic of the circuit in a steady state. A method characterized by the following:

42. In the method of claim 40, The circuit to be analyzed is an amplification circuit. The characteristics of the circuit are the output waveform and efficiency of the amplification circuit. A method characterized by the following:

43. A program for causing a computer or processor to function as the device of claim 25, 26, 30, 31, 32, or 33.

44. A device for measuring circuits having nonlinear characteristics, Initial phase φ ０ The input unit inputs an input signal s(t) of the following equation (30), which has an instantaneous amplitude change A(t) and an instantaneous frequency change f(t), to the circuit to be measured which has nonlinear characteristics. A calculation unit calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit. An apparatus characterized by comprising: [Number 30]

45. In the apparatus of claim 44, The circuit to be measured is a high-frequency conversion circuit. The characteristics of the circuit are conversion characteristics that show the relationship between the input and output of the circuit. A device characterized by the following features.

46. In the apparatus of claim 44, The circuit being measured is a rectifier circuit that constitutes a rectenna for a wireless power transmission receiving device. The characteristic of the circuit is the efficiency characteristic of the circuit in a steady state. A device characterized by the following features.

47. In the apparatus of claim 44, The circuit to be measured is an amplifier. The characteristics of the circuit are the output waveform and efficiency of the amplifier. A device characterized by the following features.

48. A device for generating a trained model, Initial phase φ input to the circuit ０ The system includes a data storage unit that stores data for multiple sets of input / output characteristics showing the relationship between the multiple input signals s(t) and the output signals, calculated for multiple input signals s(t) of the following formula (31) having instantaneous amplitude change A(t) and instantaneous frequency change f(t), and which calculates the output signal from the circuit when the input signal s(t) is input. A learning unit that uses the aforementioned multiple sets of input / output characteristic data as training data to perform machine learning, A model generation unit generates a trained model of the circuit characteristics based on the machine learning results of the learning unit, An apparatus characterized by comprising: [Number 31]

49. In the apparatus of claim 48, The aforementioned circuit is a high-frequency conversion circuit, The characteristics of the circuit are conversion characteristics that show the relationship between the input and output of the circuit. A device characterized by the following features.

50. In the apparatus of claim 48, The circuit described above is a rectifier circuit that constitutes a rectenna for a wireless power transmission receiving device. The characteristic of the circuit is the efficiency characteristic of the circuit in a steady state. A device characterized by the following features.

51. In the apparatus of claim 48, The circuit is an amplifier, The characteristics of the circuit are the output waveform and efficiency of the amplifier. A device characterized by the following features.

52. A device for demodulating the input signal of a circuit, A storage unit for storing a trained model generated by any of the devices of claims 48 to 51, A demodulation unit that uses the aforementioned trained model to generate a signal by reconstructing the input signal of the circuit based on the measurement results of the output signal of the circuit, An apparatus characterized by comprising:

53. A device for optimizing circuits, A storage unit for storing a trained model generated by any of the devices of claims 48 to 51, An optimization processing unit that uses the aforementioned trained model to correct and optimize the characteristics of the circuit, A device characterized by being equipped with the following features.

54. A method for generating a pre-trained model, Initial phase φ input to the circuit ０ For a plurality of input signals s(t) of the following formula (32) having instantaneous amplitude change A(t) and instantaneous frequency change f(t), the output signal from the circuit when the input signal s(t) is input is calculated, and a plurality of sets of input / output characteristic data showing the relationship between the plurality of input signals s(t) and the output signal are stored. Using the aforementioned data of multiple sets of input / output characteristics as training data, machine learning is performed to generate a trained model of the circuit's characteristics. A method characterized by including [Number 32]

55. In the method of claim 54, The aforementioned circuit is a high-frequency conversion circuit, The characteristics of the circuit are conversion characteristics that show the relationship between the input and output of the circuit. A method characterized by the following:

56. In the method of claim 54, The circuit described above is a rectifier circuit that constitutes a rectenna for a wireless power transmission receiving device. The characteristic of the circuit is the efficiency characteristic of the circuit in a steady state. A method characterized by the following:

57. In the method of claim 54, The aforementioned circuit is an amplification circuit, The characteristics of the circuit are the output waveform and efficiency of the amplification circuit. A method characterized by the following:

58. A program for causing a computer or processor to function as the device according to any one of claims 48 to 51.

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