Apparatus and method for generating a signal, apparatus for demodulating a signal, measuring apparatus, simulation apparatus, apparatus for analyzing a circuit, transmitting apparatus, communication system, power transmitting apparatus, wireless power transmission system, circuit, amplifier circuit, and program

Abstract

An apparatus for generating a signal having any instantaneous frequency change and instantaneous amplitude change is provided. The first signal generating device 300 generates amplitudes (A) that are multiple constants or time-varying variables applied to multiple (k=1 to n, n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by equation (1). k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data, and a memory section for storing multiple amplitude (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ), and an output generation unit that synthesizes the multiple single-tone waves to generate an output signal s(t) of equation (2) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t). TIFF0007763979000133.tif12140 TIFF0007763979000134.tif16146

Description

[Technical Field]

[0001] The present disclosure relates to signal generation, demodulation, measurement, simulation, analysis, transmission, communication, power transmission, wireless power transmission, circuits, amplifier circuits, and programs in a multi-tone environment. [Background technology]

[0002] Conventionally, a method is known in which a signal obtained by combining sine waves of a plurality of frequencies is input to a target and the characteristics are measured.

[0003] For example, Patent Document 1 discloses a device characteristic testing method in which a test signal containing a mixture of sine waves of multiple different frequencies output from a signal generator is input to a device under test, a signal output from the device under test in response to the test signal containing a mixture of sine waves of multiple 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 Application Laid-Open No. 2004-061415 Summary of the Invention

[0005] A signal generating device according to one aspect of the present disclosure (hereinafter referred to as the "first aspect") is a device that generates a signal by applying a plurality of constants or time-varying variables, namely, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k a storage unit for storing setting data of the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k) is applied to each of the single-tone waves, and an output generation unit that combines the multiple single-tone waves to generate an output signal s(t) of the following equation (2) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

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[0006] In the device according to the first aspect, 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] A signal generating device according to another aspect of the present disclosure (hereinafter referred to as "a second aspect") includes a plurality of amplitude modulation units that amplitude-modulate sine waves that have different frequencies and phases with different modulation signals to generate a plurality of amplitude-modulated signals, and an output generation unit that combines the plurality of amplitude-modulated signals output from the plurality of amplitude modulation units to generate a frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change; Equipped with.

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

[0009] In any of the devices according to the second aspect, the device may include 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 combine 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 of the devices according to the second aspect, the device may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may amplify the plurality of frequency-modulated signals output from the plurality of sets of IQ modulation units using an amplifier, combine the plurality of frequency-modulated signals amplified by the amplifier, and generate amplitude-modulated and frequency-modulated signals having instantaneous amplitude changes and instantaneous frequency changes.

[0011] A signal generating device according to yet another aspect (hereinafter referred to as "third aspect") of the present disclosure includes a plurality of frequency modulation units that frequency-modulate sine waves having different amplitudes with different modulation signals to generate a plurality of frequency-modulated signals, and an output generating unit that combines the frequency-modulated signals output from the plurality of frequency modulation units to generate an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

[0012] A wireless communication transmitting device according to yet another aspect (hereinafter referred to as "fourth aspect") of the present disclosure comprises 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 the modulation processing unit comprises a device that generates any of the signals according to the first to third aspects.

[0013] A wireless communication system according to yet another aspect of the present disclosure (hereinafter referred to as the "fifth aspect") comprises a transmitting device according to the fourth aspect, a transmitting antenna connected to the transmitting device, a receiving antenna that receives a transmission signal transmitted from the transmitting device via the transmitting antenna, and a receiving device connected to the receiving antenna.

[0014] A wireless power transmission device according to yet another aspect (hereinafter referred to as "sixth aspect") of the present disclosure comprises 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 the modulation processing unit comprises a device that generates any of the signals according to the first to third aspects.

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

[0016] A circuit according to yet another aspect (hereinafter referred to as "eighth aspect") of the present disclosure is a circuit that applies a plurality of constants or time-varying variables, namely, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k a storage unit for storing setting data of the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k ) to generate a plurality of amplitude-modulated single-tone waves, each of which is applied with a single-tone wave generator; and an output generator that combines the plurality of single-tone waves to generate an output signal s(t) of the following equation (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 aspect, 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 (hereinafter referred to as "a ninth aspect") of the present disclosure includes a plurality of amplitude modulation units that amplitude-modulate sine waves having different frequencies and phases with different modulation signals to generate a plurality of amplitude-modulated signals, and an output generation unit that combines the plurality of amplitude-modulated signals output from the plurality of amplitude modulation units to generate a frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

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

[0020] In any of the circuits according to the ninth aspect, the circuit may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may combine 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 an instantaneous amplitude change and an instantaneous frequency change.

[0021] In any of the circuits according to the ninth aspect, the circuit may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may amplify the plurality of frequency-modulated signals output from the plurality of sets of IQ modulation units using an amplifier, combine the plurality of frequency-modulated signals amplified by the amplifier, and generate amplitude-modulated and frequency-modulated signals having instantaneous amplitude changes and instantaneous frequency changes.

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

[0023] An amplifier circuit according to still another aspect (hereinafter referred to as "eleventh aspect") of the present disclosure includes any of the circuits according to the ninth or tenth aspects.

[0024] A method for generating a signal according to still another aspect (hereinafter referred to as a "twelfth aspect") of the present disclosure includes applying a plurality of constants or time-varying variables, namely, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data, and k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k ) to generate a plurality of amplitude-modulated single-tone waves, each of which is applied with a modulation signal; and combining the plurality of single-tone waves to generate an output signal s(t) of the following equation (12) having an initial phase φ, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

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[0025] In the method according to the twelfth aspect, 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 (hereinafter referred to as "a thirteenth aspect") of the present disclosure includes amplitude-modulating sine waves having different frequencies and phases with different modulation signals to generate a plurality of amplitude-modulated modulated signals, and combining the plurality of amplitude-modulated modulated signals to generate a frequency-modulated modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

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

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

[0029] An apparatus according to yet another aspect (hereinafter referred to as "16th aspect") of the present disclosure is an apparatus that performs a simulation to analyze the behavior of waves in a nonlinear system in a multi-tone environment. This apparatus performs a simulation using amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k a storage unit for storing setting data of the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k) is applied to each of the single-tone waves, and an output generation unit that combines the multiple single-tone waves to generate an output signal s(t) of the following equation (17) corresponding to a wave having an initial phase φ, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

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[0030] In the device according to the sixteenth aspect, 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 devices according to the sixteenth aspect, the nonlinear system of the multi-tone 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 a position of the wave source in the space and a wave s emitted by the wave source are set for each of the plurality of wave sources. k a storage unit that stores setting data of modulation information of (t) and setting data of propagation characteristics of waves in the space; a division unit that divides the space into a plurality of meshes; and a division unit that divides the plurality of meshes into a plurality of waves s from the plurality of wave sources. k and an output unit that outputs, for each mesh, an arrival profile of the following formula (21) including the amplitude, frequency, and time change of a plurality of waves (k=1 to n) that have arrived at (t).

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[0032] Any one of the devices according to the sixteenth aspect may further comprise a calculation unit that calculates a result of the simulation based on the attainment profile for each mesh.

[0033] In any of the devices according to the sixteenth aspect, the simulation may be a simulation for evaluating distortion in communication using a low-noise amplifier, a simulation for evaluating a frequency shift phenomenon caused by arranging multiple sound sources, or a simulation for evaluating the received power when a modulated wave is input to a rectenna in wireless power transmission.

[0034] An apparatus according to yet another aspect (hereinafter referred to as a "seventeenth aspect") of the present disclosure is an apparatus for performing a simulation to analyze a circuit having nonlinear characteristics. This apparatus includes an input unit that inputs an input signal s(t) of the following equation (22), which has an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t), to a modeled circuit to be analyzed having 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 a signal output from the circuit.

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[0035] In the device according to the seventeenth aspect, the circuit to be analyzed is a high-frequency conversion circuit; The characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit.

[0036] In the device according to the seventeenth aspect, the circuit to be analyzed may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristic of the circuit may be the efficiency of the circuit in a steady state.

[0037] In the device according to the seventeenth aspect, the circuit to be analyzed may be an amplifier circuit, and the circuit characteristics may be an output waveform and efficiency of the amplifier circuit.

[0038] A method according to yet another aspect (hereinafter referred to as "18th aspect") of the present disclosure is a method for performing a simulation to analyze the behavior of waves in a nonlinear system in a multi-tone environment. This method involves applying a plurality of constants or time-varying variables, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data, and k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k ), and combining the plurality of single-tone waves to generate an output signal s(t) of the following equation (24) corresponding to a wave having an initial phase φ, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

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[0039] In the method according to the eighteenth aspect, 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 eighteenth aspect, the nonlinear system of the multi-tone 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 a position of the wave source in the space and a wave s emitted by the wave source are set for each of the plurality of wave sources. k (t) and setting data of the propagation characteristics of the waves in the space; dividing the space into a plurality of meshes; and k (t) may output, for each mesh, an arrival profile of the following formula (28) including the amplitude, frequency, and time change of a plurality of waves (k=1 to n) that have arrived.

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[0041] Any of the methods according to the eighteenth aspect may include generating an output signal s(t) of equation (24) corresponding to a wave having the initial phase φ, the instantaneous amplitude change A(t), and the instantaneous frequency change f(t) at an arbitrary position in the space, based on the arrival profile for each mesh and modulation information of the plurality of wave sources, and calculating a result of the simulation.

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

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

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[0044] In the method according to the nineteenth aspect, the circuit to be analyzed may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates a relationship between an input and an output of the circuit.

[0045] In any of the methods according to the 19th aspect, the circuit to be analyzed may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristics of the circuit may be efficiency characteristics of the circuit in a steady state.

[0046] In any one of the methods according to the nineteenth aspect, the circuit to be analyzed may be an amplifier circuit, and the characteristics of the circuit may be an output waveform and efficiency of the amplifier circuit.

[0047] A program according to yet another aspect of the present disclosure (hereinafter referred to as "the twentieth aspect") is a program for causing a computer or a processor to function as any of the devices according to the sixteenth to seventeenth aspects.

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

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[0049] In the device according to the twenty-first aspect, the circuit to be measured may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit.

[0050] In the device according to the 21st aspect, the circuit to be measured may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristics of the circuit may be efficiency characteristics of the circuit in a steady state.

[0051] In the device according to the twenty-first aspect, the circuit to be measured may be an amplifier circuit, and the circuit characteristics may be an output waveform and efficiency of the amplifier circuit.

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

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[0053] In the device according to the twenty-second aspect, the circuit may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit.

[0054] In the device according to the twenty-second aspect, the circuit may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristic of the circuit may be an efficiency characteristic of the circuit in a steady state.

[0055] In the device according to the twenty-second aspect, the circuit may be an amplifier circuit, and the characteristics of the circuit may be an output waveform and efficiency of the amplifier circuit.

[0056] A device according to yet another aspect of the present disclosure (hereinafter referred to as "a 23rd aspect") is a device that performs demodulation to restore an input signal of a circuit. This device includes a memory unit that stores a trained model generated by any of the devices according to the 22nd aspect, and a demodulation unit that uses the trained model to generate a signal that restores the input signal of the circuit based on measurement results of an output signal of the circuit.

[0057] An apparatus according to yet another aspect (hereinafter referred to as "a 24th aspect") of the present disclosure is an apparatus for optimizing a circuit, comprising: a storage unit that stores a trained model generated by any of the apparatuses according to the 22nd aspect; and an optimization processing unit that uses the trained model to correct and optimize characteristics of the circuit.

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

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[0059] In the method according to the twenty-fifth aspect, the circuit may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates a relationship between an input and an output of the circuit.

[0060] In the method according to the twenty-fifth aspect, the circuit may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristic of the circuit may be an efficiency characteristic of the circuit in a steady state.

[0061] In the method according to the twenty-fifth aspect, the circuit may be an amplifier circuit, and the characteristics of the circuit may be an output waveform and efficiency of the amplifier circuit.

[0062] A program according to yet another aspect of the present disclosure (hereinafter referred to as "26th aspect") is a program for causing a computer or a processor to function as any of the devices according to the 22nd to 24th aspects. [Brief explanation of the drawings]

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

[0064] Hereinafter, embodiments of the present disclosure will be described with reference to the drawings. Note that each drawing merely schematically illustrates shapes, sizes, positional relationships, corresponding relationships, configurations, processing, steps, procedures, etc., to the extent that the contents of the present disclosure can be understood, and therefore the present disclosure is not limited to only the shapes, sizes, positional relationships, corresponding relationships, configurations, processing, steps, and procedures exemplified in each drawing. Furthermore, the numerical values ​​exemplified in the present disclosure are merely preferred examples, and therefore the present disclosure is not limited to the exemplified numerical values.

[0065] In the embodiments of the present disclosure, examples of generating and using signals having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment, simulating wave propagation and circuits using the signals, measuring circuit characteristics, and demodulating and optimizing the signals are described. Furthermore, in the embodiments of the present disclosure, examples of analyzing, reproducing, and using instantaneous frequency fluctuation characteristics in a multi-tone environment where circuits and waves such as electromagnetic waves exist are described. Here, in the present disclosure, a multi-tone environment refers to an environment where signals of multiple frequencies, such as radio waves (electromagnetic waves) and sound waves, exist, and a multi-tone signal refers to multiple signals with different frequencies in a multi-tone environment, or a signal in which the multiple signals overlap (are combined).

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

[0067] FIG. 1 is a diagram showing an example of an actual operation model of a wireless power transmission (WPT) system 100. In FIG. 1, the WPT system 100 includes, for example, a plurality of power transmitting devices 110(1) to 110(4) arranged in an indoor space 900, which is a 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 transmitting devices 110(1) to 110(4) and output DC power. As shown in FIG. 2, the plurality of power receiving devices 120 each receive a plurality of WPT signals S transmitted from the plurality of power transmitting devices 110(1) to 110(4), WPT are received simultaneously.

[0068] FIG. 3 is a diagram illustrating an example of a schematic of wireless power transmission from a power transmitting device 110 to a power receiving device 120 in a wireless power transmission (WPT) system 100. In FIG. 3, a WPT signal consisting of a high-frequency radio frequency (RF) radio wave is transmitted from a power transmitting antenna 111 of the power transmitting device 110 via a predetermined directional beam. The power transmitting antenna 111 is, for example, an array antenna in which multiple antenna elements are arranged two-dimensionally. The power receiving device 120 includes a power receiving antenna 121 that receives the WPT signal consisting of the high-frequency radio frequency (RF) radio wave transmitted from the power transmitting antenna 111 of the power transmitting device 110, and a rectifier 122 having 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 two-dimensionally. The rectifier 122 includes, for example, a rectifier circuit group consisting of multiple rectifier circuits connected to the multiple antenna elements 121a of the power receiving antenna 121, and outputs direct current (DC) power.

[0069] Fig. 4 is a diagram showing an example of the main configuration of a wireless power transmission (WPT) system 100. In Fig. 4, the power transmitting 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 method, 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 a power transmitting antenna 111. A high-frequency WPT signal received via a power receiving antenna 121 of the power receiving device 120 is converted to direct current by a rectifier 122. The direct current power output from the rectifier 122 is supplied to a load 910.

[0070] FIG. 5 shows a plurality of wireless power transmission signals (WPT signals) S of the same frequency in a wireless power transmission (WPT) system 100. WPT 5 is a diagram illustrating an example of transmission and reception of WPT signals S at the same frequency f with transmission powers P1 to P4. WPT In this case, as shown in FIG. 6, a plurality of WPT signals S of the same frequency f are transmitted from the power transmitting devices 110(1) to 110(4). WPT The received signal S has a nearly constant amplitude and received power, and is R is received by the power receiving device 120.

[0071] FIG. 7 shows a wireless power transmission (WPT) system in which multiple wireless power transmission signals (WPT signals) S with different frequencies are used. WPT In the example of a realistic multi-tone environment in Fig. 7, there is a difference in transmission frequency between the multiple power transmitting devices 110(1) to 110(4), and the multiple power transmitting devices 110(1) to 110(4) of the WPT system 100 transmit WPT signals S at multiple frequencies f1 to f4 that are different from each other with transmission powers P1 to P4. WPT In this case, as shown in FIG. 8, WPT signals S of multiple frequencies f1 to f4, which are multi-tone signals transmitted from the power transmitting devices 110(1) to 110(4), are transmitted. WPTThe received signal S with frequency fluctuation and received power fluctuation superimposed thereon R is received by the power receiving device 120.

[0072] FIG. 9 shows a plurality of downlink signals S having different frequencies in a communication system 200. DL 9 is a diagram showing an example of transmission and reception of a radio frequency downlink signal S. In FIG. 9, the communication system 200 includes, for example, base stations 210(1) to 210(4) as a plurality of transmitting devices arranged in a space to be operated, and a radio frequency downlink signal S of a predetermined frequency transmitted from the base stations 210(1) to 210(4). DL Each of the plurality of terminal devices 220 receives a downlink signal S transmitted from the base station of the cell in which the terminal device is located, as shown in FIG. DL and the downlink signal S transmitted from the base station of the surrounding cell. DL are received simultaneously.

[0073] In the environment of the communication system 200 of FIG. 9, there is a difference in transmission frequency between the multiple base stations (transmitting devices) 210(1) to 210(4), and the multiple base stations (transmitting devices) 210(1) to 210(4) transmit downlink signals S at multiple frequencies f1 to f4 that are different from each other with transmission powers P1 to P4. DL Even in the multi-tone environment of this communication system 200, downlink signals S1, S2, S3, S4, S5, S6, S7, S8, S9, S10, S11, S12, S13, S14, S15, S16, S17, S18, S19, S20, S21, S22, S23, S24, S25, S30, S41, S52, S60, S71, S82, S93, S10, S11, S12, S13, S14, S15, S26, S27, S28, S29 ... DL The received signal S with frequency fluctuation and received power fluctuation superimposed thereon R is received by the terminal device 220.

[0074] 10(a) is a diagram showing an example of multi-tone signals S1 to S4 before synthesis (before superposition) in a multi-tone environment. FIG. 10(b) is a diagram showing an example of multi-tone signal S1 to S4 after synthesis. MT10(a) shows an example of a multi-tone signal S1 to S4 in a multi-tone environment. When the signals S1 to S4 are combined (superimposed) in the multi-tone environment shown in FIG. 10(a), the combined multi-tone signal S1 is generated with frequency fluctuations (see FIG. 11) and received power fluctuations (see FIG. 12) as shown in FIG. 10(b). MT In other words, a multi-tone environment has instantaneous frequency fluctuation characteristics in which signals (waves) with different frequencies overlap, causing not only instantaneous amplitude modulation but also instantaneous frequency modulation. Some circuits, devices, and systems exhibit a response to the instantaneous frequency fluctuation characteristics of this multi-tone environment. In the embodiments of the present disclosure, examples are shown of analysis, reproduction, and utilization of waveforms of multi-tone signals having instantaneous frequency fluctuation characteristics in a multi-tone environment that affect the response of circuits, devices, and systems.

[0075] [Waveform analysis] When there are multiple transmitting stations (power transmitting devices 110 or transmitting devices 210) and multiple receiving stations (power receiving devices 120 or receiving devices 220) as in the wireless power transmission (WPT) system (see FIG. 7) and communication system (see FIG. 9) described above, the signals received by the receiving stations are subjected to amplitude modulation (instantaneous amplitude fluctuations) and frequency modulation (instantaneous frequency fluctuations) due to interference between the multiple signals (multi-tone interference). By analyzing the waveforms of the signals subjected to this amplitude modulation (instantaneous amplitude fluctuations) and frequency modulation (instantaneous frequency fluctuations) and knowing the characteristics of the instantaneous frequency fluctuations, it is possible to accurately estimate the efficiency of received power at the receiving stations (power receiving devices 120 or receiving devices 220) (for example, the power receiving efficiency at the power receiving device 120).

[0076] [Waveform reproduction] Furthermore, as mentioned above, in a multi-tone environment, instantaneous amplitude fluctuations and instantaneous frequency fluctuations occur due to the overlap of waves (signals) (see, for example, Figure 13). Conversely, by selecting and combining multiple appropriate waves (signals), it is possible to calculate and reproduce (generate) a signal with any instantaneous amplitude and frequency changes (instantaneous amplitude fluctuations and instantaneous frequency fluctuations). For example, by reproducing (generating) a frequency-fluctuation wave without amplitude fluctuations, it is possible to improve distortion in signal amplification by an amplifier (amplification circuit).

[0077] [Using waveforms] By using the signal (waveform) having instantaneous amplitude and frequency changes calculated by combining the above-mentioned appropriate multiple waves (signals), it is possible to calculate the characteristics of the rectifier circuit of the power receiving device 120 (see FIG. 14) and the characteristics of the amplifier (amplification circuit) of the receiving device 220 when a signal having instantaneous amplitude and frequency changes is input. In addition, because it is possible to calculate the overall waveform of a multi-tone interference wave having instantaneous amplitude and frequency changes, it can be used to perform new distortion correction (inverse correction) and demodulate received signals by back-calculating the input from the output. Furthermore, it can be used to improve the amount of information transmitted in communication systems and to design wireless power transfer (WPT) systems.

[0078] In an embodiment of the present disclosure, the instantaneous frequency variation characteristics of a circuit in a multi-tone environment can be analyzed by the following method.

[0079] [Analysis method for instantaneous frequency fluctuation characteristics (new analytical formula)] 15, 16, and 17 are diagrams showing examples of input / output models of conversion circuits 800, 810, and 820, respectively. In the general conversion circuit 800 shown in FIG. 15, an input x input and output x output exists, the operation of the conversion circuit 800 can be defined as a function g. For example, when the input wave 811 and the output wave 812 are considered as a whole (over the entire target time range) as shown in Figure 16, the conversion circuit 810 is a linear circuit having linear characteristics. Also, when the conversion circuit 820 is a nonlinear circuit having nonlinear characteristics as shown in Figure 17, it is considered that the conversion process continues for each of partial waveforms 821, 822, and 823 obtained by dividing the target time range.

[0080] Here, when the input signal to the circuit is expressed as the following equation (33), (a k When 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, the following equation (34) does not hold.

number

number

[0081] If the function g is nonlinear and the above equation (34) does not hold, the input signal x input Therefore, in the embodiment of the present disclosure, the time characteristic (x input (t)) and output signal x output A method for calculating the

number

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

number

[0083] In the embodiment of the present disclosure, instead of estimating the characteristic g in the frequency domain of the nonlinear conversion circuit 810 by decomposing the input signal as shown in FIG. 18, as shown in FIG. 19, the characteristic g is estimated by decomposing the input signal x input The characteristic g of the nonlinear conversion circuit 820 in the time domain is estimated using (t).

[0084] In the embodiments of the present disclosure, the nonlinear circuit for characteristic estimation is a circuit that generates analog or digital nonlinear conversion between input and output. For example, an example of an analog nonlinear circuit is a circuit that uses nonlinear elements such as diodes and transistors. Examples of analog nonlinear circuits include an amplifier circuit that includes a transistor, and a rectifier circuit that includes a diode or a transistor.

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

number

number

number

[0086] When multiple interfering waves (interference waves) have unequal amplitudes, the beat s(t) is expressed by the following equation (40), and if the representative frequency is ω0, the beat s(t) is expressed by the following equation (41), and the amplitude waveform A(t) of the beat 2 is expressed by the following equation (42).

number

number

number

[0087] Similarly, when the beat s(t) is expressed by the following equation (43), the amplitude waveform A(t) of the beat is calculated. 2 is expressed by the following equation (44).

number

number

[0088] [New analytical formula for signals with instantaneous frequency changes] In the embodiment of the present disclosure, the following novel analytical formula is proposed for a signal having any 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 a signal s(t) emitted by a signal source in a multi-tone environment is expressed by the following equation (45), and an instantaneous frequency change f(t) is derived by the following equation (46).

number

number

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

number

number

number

[0091] The analytical formula for the instantaneous frequency change f(t) shown in the above formula (49) applies to a signal in which the signal s(t) emitted by a signal source in a multi-tone environment is expressed by the above formula (47). However, as will be described later, any amplitude-frequency modulated wave (a modulated wave that has been subjected to amplitude modulation and frequency modulation) can be decomposed into an amplitude-modulated wave (a modulated wave that has been subjected to 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 the above formulas (45), (48), and (49). Furthermore, the above analytical formulas that can describe any modulated wave having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) are useful for evaluating the impact of multi-tone interference in communications and for designing wireless power transmission systems.

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

[0093] The storage unit 301 stores a plurality of constants or time-varying variables, namely, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data is saved.

number

[0094] The single tone wave generating 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 ) to generate multiple amplitude-modulated single-tone waves.

[0095] Output generating section 303 combines the multiple single-tone waves generated by single-tone wave generating section 302 to generate an output signal s(t) (multi-tone modulated wave) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) as expressed in equation (51) below.

number

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

number

number

number

[0097] 21 is a flowchart showing an example of signal generation in the first signal generating device 300 according to the embodiment. In the first signal generating method S100 in FIG. 21, first, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) and stores the setting data in the storage unit 301 (S101).

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

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

[0100] Next, the output signal generator 303 generates a plurality of single-tone waves A generated by the single-tone wave generator 302. k (t)sin(ω k t+φ k ) are synthesized to generate an output signal s(t) (multi-tone modulated wave) of the above equation (52) or (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 generating device 300 and the signal generating method S100 in FIGS. 20 and 21, it is possible to generate an output signal s(t) (multi-tone modulated wave) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment based on the proposed equations (50) to (54) above, and therefore it becomes possible to analyze, reproduce, and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0102] [Second signal generation device] 22 is a block diagram showing an example of a configuration of a main part of a second signal generating device 310 according to an embodiment. In FIG. 22, the second signal generating device 310 includes a storage unit 311, a plurality (n) of amplitude modulation units 312(1) to 312(n), and an output generating unit 313.

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

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

[0105] The output generation unit 313 generates a plurality of amplitude-modulated signals (amplitude-modulated waves) s output from the plurality of amplitude modulation units 312(1) to 312(n). AM1 (t)~s AMn (t) is synthesized to produce a frequency-modulated signal (hereinafter referred to as a "frequency-modulated wave" or "FM-modulated wave") s having instantaneous amplitude and frequency changes. FM Generate (t).

[0106] Fig. 23 is a flowchart showing an example of signal generation in the second signal generating device 310 according to the embodiment. In the second signal generating method S110 in Fig. 23, first, setting data for a plurality of amplitudes, a plurality of frequencies, and a plurality of phases of a plurality (n) of sine waves (carrier waves) to be amplitude modulated, as well as a plurality of modulation signals and modulation conditions to be used for amplitude modulating the plurality of sine waves (carrier waves), are set, and the 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 an operator or user of the device 310 via a user interface, an operation unit, remote control, etc., or may be automatically set by the device 310 based on various conditions.

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

[0109] Next, the output generation unit 313 generates a plurality of amplitude-modulated signals (amplitude-modulated waves) s output from the plurality of amplitude modulation units 312(1) to 312(n). AM1 (t)~s AMn (t) is synthesized to generate a frequency-modulated signal (frequency-modulated wave) s having instantaneous amplitude and frequency changes. FM Generate (t).

[0110] According to the signal generating device 310 and the signal generating method S110 of FIGS. 22 and 23, a plurality of amplitude-modulated waves s AM1 (t)~s AMn (t) is synthesized to generate a frequency modulated wave s with instantaneous amplitude and frequency changes in a multi-tone environment. FM (t), it becomes possible to analyze, reproduce and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

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

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

[0113] The plurality (n) of frequency modulation units 322(1) to 322(n) frequency-modulate sine waves having different amplitudes with different modulation signals based on the modulation signals and modulation conditions to generate a plurality of frequency-modulated signals (frequency-modulated waves) s FM1 (t)~s FMn Generate (t).

[0114] The output generation unit 323 generates a plurality of frequency-modulated signals (frequency-modulated waves) s output from the plurality of frequency modulation units 322(1) to 322(n). FM1 (t)~s FMn (t) is synthesized to generate an amplitude-modulated and frequency-modulated signal (hereinafter also referred to as an "amplitude-frequency modulated wave" or "AMFM modulated wave") s having instantaneous amplitude and frequency changes. AMFM Generate (t).

[0115] Fig. 25 is a flowchart showing an example of signal generation in the third signal generating device 320 according to the embodiment. In the third signal generating method S120 in Fig. 25, first, a plurality of amplitudes, a plurality of frequencies, and a plurality of phases of a plurality (n) of sine waves (carrier waves) to be frequency modulated, as well as a modulation signal and modulation conditions to be used for amplitude modulation of the plurality of sine waves (carrier waves), are set, and the set data is 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 an operator or user of the device 320 via a user interface, an operation unit, remote control, etc., or may be automatically set by the device 320 based on various conditions.

[0117] Next, the sine waves having different amplitudes are frequency-modulated by the plurality of frequency modulation units 322(1) to 322(n) with different modulation signals to generate a plurality of frequency-modulated signals (frequency-modulated waves) s FM1 (t)~s FMn Generate (t).

[0118] Next, the output generation unit 323 generates a plurality of frequency-modulated signals (frequency-modulated waves) s output from the plurality of frequency modulation units 322(1) to 322(n). FM1 (t)~s FMn (t) is synthesized to generate an amplitude-modulated and frequency-modulated signal (amplitude-frequency modulated wave) s having instantaneous amplitude and frequency changes. AMFM Generate (t).

[0119] According to the signal generating device 320 and the signal generating method S120 of FIGS. 24 and 25, a plurality of frequency-modulated waves s FM1 (t)~s FMn (t) is synthesized to generate an amplitude-frequency modulated wave s with instantaneous amplitude and frequency changes in a multi-tone environment. AMFM (t), it becomes possible to analyze, reproduce and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0120] [Fourth signal generation device] Fig. 26 is a block diagram showing an example of the configuration of the main parts of a fourth signal generating device 330 according to an embodiment. The fourth signal generating device 330 in Fig. 26 corresponds to the configuration when the number n of amplitude modulation sections 312(1) to 312(n) in the second signal generating device 310 in Fig. 22 described above is 2. Note that in Fig. 26, descriptions of parts common to Fig. 22 described above will be omitted.

[0121] In FIG. 26, a fourth signal generator 330 generates a first modulated signal (first amplitude modulated wave) s having a first frequency. AM1 (t), and a second amplitude-modulated signal (second amplitude-modulated wave) s having a second frequency different from the first frequency. AM2The output generating unit 333 generates the amplitude-modulated signal (first amplitude-modulated wave) s (t) output from the first amplitude modulating unit 331. AM1 (t) and the amplitude-modulated signal (second amplitude-modulated wave) s output from the second amplitude modulation unit 331 AM2 (t) is synthesized to generate a frequency-modulated signal (frequency-modulated wave) s having instantaneous amplitude and frequency changes. FM Generate (t).

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

[0123] [Fifth signal generation device] Fig. 27 is a block diagram showing an example of the configuration of the main parts of a fifth signal generating device 340 according to an embodiment. The fifth signal generating device 340 in Fig. 27 corresponds to the configuration when the number n of frequency modulation sections 322(1) to 322(n) in the third signal generating device 320 in Fig. 24 described above is 2. Note that in Fig. 27, descriptions of parts common to Fig. 24 described above will be omitted.

[0124] In FIG. 27, a fifth signal generator 340 generates a first modulated signal (first frequency modulated wave) s having a first amplitude. FM1 (t), and a second frequency-modulated signal (second frequency-modulated wave) s having a second amplitude different from the first amplitude. FM2 The output generating unit 343 generates the modulated signal (first frequency modulated wave) s (t) output from the first frequency modulating unit 341. FM1 (t) and the frequency-modulated signal (second frequency-modulated wave) s output from the second frequency modulation unit 341 FM2(t) is synthesized to generate an amplitude-modulated and frequency-modulated signal (amplitude-frequency modulated wave) s having instantaneous amplitude and frequency changes. AMFM Generate (t).

[0125] According to the signal generating device 340 of FIG. 27, two frequency modulated waves s FM1 (t),s FM2 By synthesizing (t), an amplitude-frequency modulated wave s with instantaneous amplitude and frequency changes in a multi-tone environment is obtained. AMFM (t) can be generated.

[0126] [6th signal generation device] Fig. 28 is a block diagram showing an example of the configuration of the main parts of a sixth signal generating device 350 according to an embodiment. The sixth signal generating device 350 in Fig. 28 corresponds to a configuration in which the number n of amplitude modulation sections 312(1) to 312(n) in the second signal generating device 310 in Fig. 22 described above is 2, and the output generating section 313 is an IQ modulation section. Note that in Fig. 28, descriptions of parts common to Fig. 22 described above will be omitted.

[0127] In FIG. 28, a sixth signal generator 350 generates a first modulated signal (first amplitude modulated wave) s having a first frequency. AM1 (t), and a second amplitude-modulated signal (second amplitude-modulated wave) s having a second frequency different from the first frequency. AM2 The IQ modulation unit 353 generates the amplitude-modulated signal (first amplitude-modulated wave) s output from the first amplitude modulation unit 351. AM1 (t) is the in-phase component signal I(t), and the amplitude-modulated signal (second amplitude-modulated wave) s output from the second amplitude modulation unit 352 is AM2 By performing IQ modulation with (t) as the quadrature component signal Q(t), the modulated signal (frequency modulated wave) s FM (t) generates this frequency modulated wave s FM (t) is output as output signal 354.

[0128] According to the signal generating device 350 of FIG. 28, two amplitude modulated waves s AM1 (t),s AM2 By IQ-modulating (t) as an in-phase component and a quadrature component, a frequency-modulated wave s with instantaneous amplitude and frequency changes in a multi-tone environment is obtained. FM (t) can be generated.

[0129] [7th signal generation device] Fig. 29 is a block diagram showing an example of the configuration of the main parts of a seventh signal generating device 360 ​​according to an embodiment. The seventh signal generating device 360 ​​in Fig. 29 has two sets of configurations of the sixth signal generating device 350 in Fig. 28 described above. Note that in Fig. 29, descriptions of parts common to Fig. 22 and Fig. 28 described above will be omitted.

[0130] 29, the seventh signal generating device 360 ​​includes a first frequency-modulated wave generating unit 366(1), a second frequency-modulated wave generating unit 366(2), and an output generating unit 365. The first frequency-modulated wave generating unit 366(1) includes a first amplitude modulating unit 361(1), a second amplitude modulating unit 362(1), and an IQ modulating unit 363(1), similar to the sixth signal generating device 350 of FIG. 28 described above, and generates a first frequency-modulated modulated signal (frequency-modulated wave) s modulated by the IQ modulating unit 363(1). FM1 28, the second frequency-modulated wave generating unit 366(2) includes a second amplitude modulation unit 361(2), a second amplitude modulation unit 362(2), and an IQ modulation unit 363(2), and outputs the second frequency-modulated modulated signal (frequency-modulated wave) s modulated by the IQ modulation unit 363(2) and generated as an output signal 364(1). FM2 The final stage output generating unit 365 outputs a plurality of frequency-modulated signals (frequency-modulated waves) s output from each of a plurality of sets of first frequency-modulated wave generating units 366(1) and second frequency-modulated wave generating units 366(2). FM1 (t),s FM2 (t) to generate an amplitude-modulated and frequency-modulated signal s having instantaneous amplitude and frequency changes. AMFM Generate (t).

[0131] According to the signal generating device 360 ​​of FIG. 29, two frequency-modulated waves s output from two pairs of a first frequency-modulated wave generating unit 366(1) and a second frequency-modulated wave generating unit 366(2), each of which has an IQ modulation unit 363(1) and an IQ modulation unit 363(2), are generated. FM1 (t),s FM2 By synthesizing (t), an amplitude-frequency modulated wave s with instantaneous amplitude and frequency changes in a multi-tone environment is obtained. AMFM (t) can be generated.

[0132] [8th signal generation device] Fig. 30 is a block diagram showing an example of the configuration of the main parts of an eighth signal generating device 370 according to an embodiment. Like the seventh signal generating device 360 ​​in Fig. 29, the eighth signal generating device 370 in Fig. 30 has two sets of the configuration of the sixth signal generating device 350 in Fig. 28 described above. Note that in Fig. 30, descriptions of parts common to Figs. 22, 28, and 29 described above will be omitted.

[0133] 30, the eighth signal generating device 370 includes a first frequency-modulated wave generating unit 377(1), a second frequency-modulated wave generating unit 377(2), and an output generating unit 376. The first frequency-modulated wave generating unit 377(1) includes a first amplitude modulating unit 371(1), a second amplitude modulating unit 372(1), an IQ modulating unit 373(1), and a power amplifier 375(1), and generates a first frequency-modulated modulated signal (frequency-modulated wave) s modulated by the IQ modulating unit 373(1). FM1 (t) is output as an output signal 374(1) and amplified by a power amplifier 375(1). The second frequency-modulated wave generating unit 377(2) includes 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 outputs the second frequency-modulated modulated signal (frequency-modulated wave) s FM2 (t) is output as output signal 374(2) and amplified by power amplifier 375(1).

[0134] The final stage output generating unit 376 generates a plurality of frequency-modulated modulated signals (frequency-modulated waves) s output from the power amplifiers 375(1) and 375(2) of the plurality of first frequency-modulated wave generating units 377(1) and second frequency-modulated wave generating units 377(2). FM1 (t),s FM2 (t) to generate an amplitude-modulated and frequency-modulated signal s having instantaneous amplitude and frequency changes. AMFM Generate (t).

[0135] According to the signal generating device 370 of FIG. 30, two frequency-modulated waves s output from two pairs of a first frequency-modulated wave generating unit 377(1) and a second frequency-modulated wave generating unit 377(2), each of which has an IQ modulation unit 373(1) and an IQ modulation unit 373(2), are generated. FM1 (t),s FM2 By synthesizing (t), an amplitude-frequency modulated wave s with instantaneous amplitude and frequency changes in a multi-tone environment is obtained. AMFM (t) (multi-tone modulated wave) can be generated.

[0136] In particular, the signal generator 370 of FIG. 30 generates two frequency-modulated waves s having an outphasing relationship. FM1 (t),s FM2 (t) is input to the power amplifiers 375(1), 375(2), and the amplified frequency modulated wave s output from the power amplifiers 375(1), 375(2) FM1 (t),s FM2 The output generator 376 combines the amplitude-frequency modulated wave s (t) and the output generator 376 to form a highly power-efficient Chireix amplifier (also called an "outphasing amplifier"). AMFM (t) (multi-tone modulated wave) can be generated.

[0137] As shown in circuit 400 in Figure 31, any of the above-mentioned signal generating devices 300, 310, 320, 330, 340, 350, 360, and 370 may be incorporated as a signal generating circuit 410 to form a modulated wave generating circuit, a power transmitting circuit, a transmitting circuit, a conversion circuit, an oscillation circuit, an amplification circuit, a nonlinear circuit, etc.

[0138] [Decomposition of Amplitude Frequency Modulation Wave (AMFM Modulation Wave)] The AMFM modulated wave of the following equation (55) generated by the signal generating circuits 340, 360, 370 in the above-mentioned FIGS. 27, 29, and 30 can be decomposed into any FM modulated waves.

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[0139] Here, as shown in the following equation (56), the AMFM modulated wave s AMFM (t) is divided into two FM modulated waves s FM1 ,s FM2 (hereinafter referred to as "FM decomposition wave").

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

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[0141] As shown in the above equations (57) and (58), the two phases φ AMFM and φ env If we know, we can calculate the above FM modulated wave s FM1 ,s FM2 Any FM decomposition into

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

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[0143] A(t) in the following equation (61) may be substituted into the above equation (59) for use.

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

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

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

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[0147] However, the above equation (64) derived by the conventional calculation method has practical defects. For example, the phase φ calculated by the above equation (62) or (63) does not change even if any of the inverse trigonometric functions (arcsin, arccos) is used. AMFM causes folding as shown by the dashed line in FIG.

[0148] Here, the correct FM decomposition wave to be calculated does not have aliasing, as shown in Figure 33. However, when the above-mentioned conventional calculation method is used, aliasing occurs in the calculated FM decomposition wave, as shown in Figure 34, and the correct FM decomposition wave cannot be obtained.

[0149] Therefore, in the embodiment of the present disclosure, in order to eliminate the aliasing and obtain a correct FM decomposition wave, φ' using the following equation (65) or (66) is used. AMFM and use the following equations (67) to (69) to determine the phase φ AMFM Calculate.

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[0150] The above phase φ env and phase φ AMFM The FM modulated wave s decomposed into the AMFM modulated wave is expressed by the following equations (70) and (71) using FM1 ,s FM2 can be calculated.

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[0151] If it is known that the AMFM modulated wave to be decomposed is obtained by the synthesis of trigonometric functions, the phase φ in the following equation (72) can be calculated using the instantaneous frequency change f(t) in the above equation (53). AMFM However, the initial phase φ0 is found from f(t) = 0 and f'(t) = 0. If phase information of the sine wave (carrier wave) before modulation is not necessary, the initial phase φ0 = 0 may be used.

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

[0153] The IQ modulation signal S(t) is expressed by the following equation (73), where A i (t) and A q (t) is the amplitude of the in-phase signal (I signal) and the quadrature signal (Q signal) before IQ modulation.

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

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[0155] From the above equations (74) and (75) and the above equations (61) and (72), the phase φ envand phase φ AMFM can be calculated by 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 is i (t) and the amplitude A of the Q signal q If (t) is known, the FM modulated wave s FM1 ,s FM2 can be decomposed into

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[0156] Regarding the above equation (77), analytical solutions of the following equations (78) and (79) can be derived.

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[0157] [Decomposition of frequency modulation (FM modulated wave)] The FM modulated wave s generated by the signal generating circuit 330 in FIG. FM Decomposed multiple AM ​​modulated waves s AM ,s AM can be derived from the addition theorem as shown in the following equation (80): where A in equation (80) is a constant.

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[0158] For example, using an arbitrary frequency ω0 (≠0), φ FM =(φ' FM +ω0t), the FM modulated wave s FM can be expressed as shown in the following equation (81): In other words, any FM modulated wave can be decomposed into multiple AM ​​modulated waves.

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[0159] [Decomposition of frequency modulated wave (FM modulated wave) generated by IQ modulation] The FM modulated wave s generated by the IQ modulation of the signal generating circuit 350 in FIG. FM When the in-phase signal I and quadrature signal Q before modulation are expressed by the following equations (82) and (83), respectively, they can be derived from the addition theorem as shown in the following equation (84). Here, ω carrier is the frequency of the carrier wave (sine wave).

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[0160] [Decomposition of an amplitude frequency modulated (AMFM) wave generated by IQ modulation] When the in-phase signals I1 and I2 and the quadrature signals Q1 and Q2 before being modulated by the IQ modulation of the signal generating circuit 360 in FIG. 29 are respectively expressed by the following equations (85) to (88), the AMFM modulated wave s of an arbitrary waveform generated by the signal generating circuit 360 is AMFM is the two FM modulated waves s as shown in the following equations (89) to (94). FM1 ,s FM1 can be decomposed into

[0161]

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[0162]

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[0163] The phase φ of the above equations (89) to (92) env and phase φ AMFM , and φ in the above equation (76) env and φ in equation (77) or the analytical solution equation (78) above. AMFM By substituting, the AMFM modulated wave s AMFM Two FM modulated waves s FM1 ,s FM1 can be obtained.

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

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

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[0166] The analytical expressions for the instantaneous frequency fluctuation characteristics in a multi-tone environment (the above-mentioned expressions (45) to (49)) can also be used in various simulations. A simulation that can use the above-mentioned analytical expressions is, for example, a simulation for analyzing the behavior of waves in a nonlinear system in a multi-tone environment. Furthermore, a simulation that can use the above-mentioned analytical expressions is, for example, a wave propagation simulation, a simulation for evaluating distortion in communications using a low-noise amplifier, a simulation for evaluating frequency shift phenomena caused by the placement of multiple sound sources, or a simulation for evaluating the received power when a modulated wave is input to a rectenna in wireless power transmission. Here, wave propagation simulation is defined as analyzing a physical phenomenon whose behavior is described by a wave equation, such as sound waves or electromagnetic waves. Examples of analyses of physical phenomena include electromagnetic field analysis, sound analysis, and light propagation analysis.

[0167] [First simulation device and method] Fig. 35 is a block diagram showing an example of the configuration of the main parts of a first simulation device 500 according to an embodiment. The simulation device 500 in Fig. 35 is a device that performs a simulation to analyze the behavior of waves in a nonlinear system in a multi-tone environment. In Fig. 35, the first simulation device 500 includes a storage unit 501, a single-tone wave generation unit 502, and an output generation unit 503.

[0168] The storage unit 501 stores a plurality of constants or time-varying variables, namely, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data is saved.

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

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

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

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[0172] 36 is a flowchart showing an example of a simulation in the first simulation device 500 according to the embodiment. In the first simulation method S130 in FIG. 36, first, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) and store the setting data in the storage unit 501 (S131).

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

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

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

[0176] According to the simulation device 500 and simulation method S130 in FIGS. 35 and 36, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment based on the proposed equations (102) to (106) above, thereby enabling various simulations of physical phenomena having instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0177] When performing the wave propagation simulation described above, the analytical formula for the instantaneous frequency fluctuation characteristics in a multi-tone environment can be used in conjunction with other analytical methods for wave phenomena, such as the OFDM (orthogonal frequency division multiplexing) method, the finite element method, the momentum method, and the ray tracing method.

[0178] In an embodiment of the present disclosure, a link between the analytical formula for the instantaneous frequency fluctuation characteristics and the ray tracing method will be described. The ray tracing method is a technique for determining a propagation path by regarding electromagnetic waves (radio waves) as light (rays) based on geometrical optics approximation. In the ray tracing method, electromagnetic waves of a transmission signal sk transmitted from a plurality of transmitting stations (wave sources) k located at a plurality of transmitting points propagate, and the strength s(x, t) of the received signal that arrives at a receiving point located at a certain coordinate (x) at time t and is received is expressed for each transmitting station (wave source) by the following formula (107): k is a constant set for each wave source.

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[0179] The change over time in the strength s(x, t) of the received signal of the electromagnetic wave arriving at the reception point can be output as an arrival profile shown in FIG. 37, for example.

[0180] [Second simulation device and method] Fig. 38 is a block diagram showing an example of a configuration of a main part of a second simulation device 510 according to an embodiment. The simulation device 510 of Fig. 38 is a device that performs a simulation to analyze the behavior of waves in a nonlinear system in a multi-tone environment. Here, the nonlinear system in the multi-tone environment includes a space (e.g., an n-dimensional analytical space) having a plurality of wave sources (k = 1 to n) (n is an integer equal to or greater than 2) that emit waves such as electromagnetic waves and sound waves. In particular, the second simulation device 510 is an example of a simulation device that utilizes an analytical expression for the instantaneous frequency fluctuation characteristics and a ray tracing method in combination.

[0181] 38, a 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 an achievement profile output unit 515.

[0182] The storage unit 511 stores a plurality of constants or time-varying variables, namely, amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data is saved.

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[0183] Furthermore, the storage unit 511 stores the position of the wave source k in the space and the wave s emitted by the wave source k, which are set for each of a plurality of (k=1 to n) (n is an integer of 2 or more) wave sources k (wave source 1 to wave source n) in the target space. k The setting data of the modulation information of (t) and the setting data of the propagation characteristics of the wave in the space (which may include the material of the medium) are stored.

[0184] The single tone wave generating unit 512 generates the plurality of amplitudes (A k ), the plurality of frequencies (f k =ωk / 2π) and the plurality of phases (φ k ) to generate multiple amplitude-modulated single-tone waves.

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

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

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[0187] The mesh division unit 514 performs processing to divide the target space into a plurality of meshes.

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

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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, a simulation to evaluate distortion in communication using a low-noise amplifier, a simulation to evaluate a frequency shift phenomenon caused by arranging multiple sound sources, or a simulation to evaluate the received power when a modulated wave is input to a rectenna in wireless power transmission.

[0190] Fig. 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 in Fig. 39, first, the mesh dividing unit 514 divides the target space into a plurality of meshes of predetermined sizes and shapes (S141). The size and shape of the meshes may be set according to the content of the simulation.

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

[0192] Furthermore, the amplitude (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) and stores the setting data in the storage unit 511 (S143).

[0193] Here, multiple frequencies (f k =ω k / 2π) can be the same frequency or multiple frequencies (fk =ω k A part or all of the amplitudes (A / 2π) may be different from each other. k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) may be set by an operator or user of the device 510 via a user interface, an operation unit, remote control, etc., or may be automatically set by the device 510 based on various conditions.

[0194] Next, the single tone wave generating unit 512 generates a modulation condition and a plurality of amplitudes (A k ), multiple frequencies (f k =ω k / 2π) and multiple phases (φ k ) setting data is read out from the storage unit 511, and a plurality of (k=1 to n) amplitude-modulated single-tone waves A k (t)sin(ω k t+φ k ) is generated (S144).

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

[0196] Next, the arrival profile output unit 515 generates a wave profile s(t) from a plurality of wave sources k for each of the plurality of meshes based on the output signal s(t) of the output generation unit 513 and the setting data of the wave propagation characteristics in the space. k The arrival profile of the above equation (113) including the amplitude, frequency and time change of the multiple waves (k=1 to n) that have arrived at (t) 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 evaluation of the aforementioned communication distortion, evaluation of the frequency shift phenomenon, and evaluation of received power based on the arrival profile for each mesh (S147).

[0198] 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, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in the space of a multi-tone environment, and to output an arrival profile of the wave for each mesh. This makes it possible to perform various simulations of physical phenomena related to wave propagation having instantaneous frequency fluctuation characteristics in a multi-tone environment.

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

[0200] [Third Simulation Device and Method] FIG. 40 is a block diagram showing an example of the configuration of a main part of a third simulation apparatus 520 according to an embodiment. Simulation apparatus 520 in FIG. 40 is an apparatus that performs a simulation for analyzing a circuit having nonlinear characteristics in a multi-tone environment (hereinafter also referred to as a "nonlinear circuit"). In FIG. 40, third simulation apparatus 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 storage unit 521, single-tone wave generation unit 522, and output generation unit 523 in FIG. 40 have the same configurations and operations as storage unit 501, single-tone wave generation unit 502, and output generation unit 503 in FIG. 35 described above, and therefore description thereof will be omitted.

[0201] The input unit 524 inputs an input signal s(t) of the following equation (114) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) into a modeled circuit to be analyzed 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] Fig. 41 is a flowchart showing an example of a simulation in the third simulation device 520 according to the embodiment. Note that, since steps S151 to S153 of the first simulation method S150 in Fig. 41 are similar to steps S131 to S133 in Fig. 36 described above, a description thereof will be omitted.

[0204] In the third simulation method S150 of FIG. 41, after the output generation unit 523 generates an output signal s(t) (S151 to S153), the input unit 524 inputs the input signal s(t) of the above equation (114) 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 (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 device 520 and simulation method S150 of Figures 39 and 40, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment based on the above proposed equation, thereby enabling various simulations of physical phenomena having instantaneous frequency fluctuation characteristics in a multi-tone environment.

[0207] Here, the circuit to be analyzed may be a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that indicate the relationship between the input and output of the circuit. For example, if the conversion circuit 820 in FIG. 19 is a high-frequency conversion circuit, an arbitrary input signal s(t) of the above equation (114) generated by synthesizing a plurality of amplitude-modulated single-tone waves is 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 in which 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 to be analyzed may be a rectifier circuit constituting a rectenna in a power receiving device for wireless power transmission, and the characteristic of the circuit may be the efficiency η of the circuit in a steady state. For example, when an arbitrary input signal s(t) of the above equation (114) generated by combining a plurality of 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 its 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 (p, f, ν)), the efficiency η mod can be calculated, enabling steady-state analysis of the rectifier circuit.

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[0209] The circuit to be analyzed may be an amplifier circuit (amplifier), and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit (amplifier). For example, by combining the characteristics of the amplifier 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 amplifier circuit (amplifier) in When the modulated wave is expressed by the following equation (116), the output signal s out The waveform of can be calculated by the following equation (117): where G in the following equation (117) is the gain of the amplifier circuit (amplifier) ​​that depends on the amplitude and frequency of the input signal.

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

[0211] [Measurement device and method] FIG. 42 is a block diagram showing an example of the configuration of the main parts of measurement apparatus 600 according to an embodiment. Measurement apparatus 600 in FIG. 42 is an apparatus for measuring a circuit having nonlinear characteristics in a multi-tone environment (hereinafter also referred to as a "nonlinear circuit"). In FIG. 42, measurement apparatus 600 includes 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 storage unit 601, single-tone wave generation unit 602, and output generation unit 603 in FIG. 42 have the same configurations and operations as storage unit 501, single-tone wave generation unit 502, and output generation unit 503 in FIG. 35 described above, and therefore description thereof will be omitted.

[0212] The input section 604 inputs an input signal s(t) of the following equation (118) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) to the actual circuit under test.

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[0213] The output measurement unit 605 measures the signal output from the circuit to which the input signal s(t) is 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] Fig. 43 is a flowchart showing an example of measurement in the measurement device 600 according to the embodiment. Note that S161 to S163 of the measurement method S160 in Fig. 43 are similar to S131 to S133 in Fig. 36 described above, and therefore description thereof will be omitted.

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

[0217] Next, the signal output from the circuit is measured by the output measurement unit 605 (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 apparatus 600 and measurement method S160 of FIGS. 42 and 43, a multi-tone modulated signal s(t) having an initial phase φ0, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment is generated based on the above proposed equation, and input to a nonlinear circuit under measurement, and the characteristics of the nonlinear circuit can be calculated based on the signal output from that circuit.

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

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

[0222] [Machine learning device and method] 45 is a block diagram showing an example of the configuration of the main parts of a machine learning device 700 according to an embodiment. The machine learning device 700 is a device that generates a trained model that can be used to analyze circuit characteristics. In FIG. 45, the machine learning device 700 includes a data storage unit 701, a training unit 702, and a model generation unit 703.

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

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[0224] The learning unit 702 performs machine learning using the data of the plurality of sets of input / output characteristics as training data.

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

[0226] The trained model is, for example, a machine-learned model generated by machine learning using multiple sets of training data (supervised learning data) for one or multiple circuits, each set consisting of data on input signals to the circuit, data on output signals from the circuit, and data on circuit characteristics (supervised data).When data on the output signals of the circuit and data on desired characteristics of the circuit are input as explanatory variable data, for example, this trained model outputs optimal input signal data as objective variable data.

[0227] The algorithm used for the trained model of this embodiment is not limited to a specific algorithm. For example, as an algorithm for a machine-learned model that learns using training data (supervised learning data), SVR (Support Vector Regression), which is classified as "Regression" that learns numerical data and predicts numerical values, can be used. Instead of SVR, Linear (Ordinary) Regression, Bayesian Linear Regression, Random (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] Fig. 46 is a flowchart showing an example of machine learning in the machine learning device 700 according to the embodiment. Note that steps S171 to S173 of the machine learning method S170 in Fig. 46 are similar to steps S131 to S133 in Fig. 36 described above, and therefore description thereof will be omitted.

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

[0230] Next, the learning unit 702 performs machine learning using data on 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 target circuit of the machine learning may be a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that indicate the relationship between the input and output of the circuit. Furthermore, the target circuit of the machine learning may be a rectifier circuit that constitutes a rectenna of a power receiving device for wireless power transmission, and the characteristics of the circuit may be the efficiency characteristics of the rectifier circuit (e.g., efficiency η in a steady state). Furthermore, the target circuit of the 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] 47 is a block diagram showing an example of the configuration of the main parts of a demodulation device 710 according to an embodiment. The demodulation device 710 is a device that performs demodulation to restore an input signal to a circuit. In FIG. 47, the demodulation device 710 includes a storage unit 711, an output measurement unit 712, a demodulation unit 713, and a demodulation result output unit 714.

[0233] The storage unit 711 stores a trained model generated by any 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 trained model to generate a signal that restores the input signal of the target circuit based on the measurement results of the output signal of the circuit.

[0236] The demodulation result output unit 714 outputs the input signal to the circuit, which has been restored and generated by the demodulation unit 713 .

[0237] [Optimizer] 48 is a block diagram showing an example of the configuration of the main parts of an optimization device 720 according to an embodiment. The optimization device 720 is a device that optimizes a target circuit. In FIG. 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 storage unit 721 stores a trained model generated by any 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 correct and optimize at least one of the characteristics and parameters of the target circuit under the conditions.

[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 be input 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 the present 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 devices, methods, systems, circuits, programs, etc. disclosed herein can be useful, for example, for designing systems for wireless power transmission, improving the efficiency of wireless power transmission, evaluating the impact of multi-tone interference in wireless communications, and improving the quality of wireless communications, and can therefore contribute to achieving Goal 9 of the Sustainable Development Goals (SDGs), which is to "build resilient infrastructure, promote inclusive and sustainable industrialization, and build resilient technological infrastructure."

[0245] It should be noted that the components of the processing steps, signal generating apparatus and method, signal demodulating apparatus, measuring apparatus, simulation apparatus, circuit analyzing apparatus, transmitting apparatus, communication system, power transmitting apparatus, wireless power transmission system, and circuit described herein can be implemented by various means. For example, these steps and components may be implemented by hardware, firmware, software, or a combination thereof.

[0246] For hardware implementation, the processing units and other means used to implement the above steps and components in an entity (e.g., various wireless communication devices, Node Bs, terminals, hard disk drive devices, or optical disk drive devices) may be implemented in one or more application specific integrated circuits (ASICs), digital signal processors (DSPs), digital signal processors (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 regard to firmware and / or software implementations, the means, such as a processing unit, used to realize the above components may be implemented with a program (e.g., code, such as procedures, functions, modules, instructions, etc.) that performs the functions described herein. In general, any computer / processor-readable medium tangibly embodying firmware and / or software code may be used to implement the means, such as a processing unit, used to realize the above steps and components described herein. For example, the firmware and / or software code may be stored in a memory and executed by a computer or processor, such as in a controller. The memory may be implemented within the computer or processor or external to the processor. Furthermore, 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 programmable read-only memory (EEPROM), flash memory, floppy disk, compact disk (CD), digital versatile disk (DVD), magnetic or optical data storage device, etc. The code may be executed by one or more computers or processors and may cause the computers or processors to perform certain aspects of the functionality described herein.

[0248] The medium may be a non-transitory recording medium. The program code may be in any format as long as it can be read and executed by a computer, processor, or other device or machine. For example, the program code may be in any of source code, object code, and binary code, or may be a mixture of two or more of these codes.

[0249] Moreover, the description of the embodiments disclosed herein is provided to enable any person skilled in the art to make or use the present disclosure. Various modifications to the present disclosure will be readily apparent to those skilled in the art, and the general principles defined herein may be applied to other variations without departing from the spirit or scope of the present disclosure. Thus, the present disclosure is not intended to be limited to the examples and designs described herein, but is to be accorded the widest scope consistent with 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: Transmitting device 210:Base station 220: Receiving device 220: Terminal device 300: 1st signal generation device 301: Storage section 302: Single tone wave generator 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 section 354: Output signal 360: 7th signal generation device 361(1): First amplitude modulation unit 361(2): Second amplitude modulation section 362(1): First amplitude modulation unit 362(2): Second amplitude modulation section 363(1): IQ modulation section 364(1), 364(2): Output signal 366(1): First frequency modulation wave generating unit 366(2): Second frequency modulation wave generating unit 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 section 374: Output signal 375: Power amplifier 376: Output generation unit 377(1): First frequency modulation wave generating unit 377(2): Second frequency modulation wave generating unit 400: Circuit 410: Signal generation circuit 500: First simulation device 501: Storage section 502: Single tone wave generation unit 503: Output generation unit 510: Second simulation device 511: Storage section 512: Single tone wave generator 513: Output generation unit 514: Mesh division section 515: Arrival profile output section 516: Simulation result calculation unit 520: Third simulation device 521: Storage section 522: Single tone wave generator 523: Output generation unit 524: Input section 525: Circuit characteristic calculation unit 600: Measuring equipment 601: Storage section 602: Single tone wave generation unit 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 section 702: Learning Department 703: Model generation unit 710: Demodulator 711: Storage section 712: Output measurement section 713: Demodulation section 714: Demodulation result output unit 720: Optimization device 721: Storage section 722: Condition setting section 723: Optimization processing section 724: Optimization result output section 725: Inverse correction section

Claims

1. A simulation device for analyzing wave behavior in a nonlinear system in a multi-tone environment, comprising: The nonlinear system of the multi-tone 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, 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 setting data of modulation information of (t) and setting data of propagation characteristics of waves in the space; a dividing unit that divides the space into a plurality of meshes; a storage unit for storing setting data of amplitudes (A k ), frequencies (f k =ω k / 2π), and phases (φ k ), which are multiple constants or time-varying variables applied to multiple (k=1 to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula (16); a single-tone wave generating unit that generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k ), respectively; an output generating unit that synthesizes the plurality of single-tone waves and generates an output signal s(t) of the following equation (17) corresponding to a wave having an initial phase φ 0 , an instantaneous amplitude change A(t) that is a time-varying variable, and an instantaneous frequency change f(t) that is a time-varying variable; Based on the output signal s(t) and the setting data of the propagation characteristics of the wave in the space, for each of the plurality of meshes, the wave s of the output signal s(t) emitted from each of the plurality of wave sources (k=1 to n) is calculated. ｋ and an output unit that calculates the signal strength s(x, t) including the amplitude, frequency, and time change of a plurality of waves (k = 1 to n) that have arrived at the reception point at coordinate x of the mesh using the following formula (21), and outputs an arrival profile that is the time change of the signal strength s(x, t) of the waves that have arrived at the reception point at coordinate x of the mesh from each of the plurality of wave sources (k = 1 to n) for each of the meshes, The instantaneous amplitude change A(t) is expressed as a time function of the following equation (18): The 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): An apparatus characterized in that [Equation 1] [Equation 2] [Equation 3] [Equation 4] [Equation 5] [Equation 6]

2. 10. The apparatus of claim 1, A device comprising: a calculation unit that calculates a result of the simulation based on the arrival profile for each mesh.

3. 3. The apparatus of claim 2, The device 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.

4. 1. A method for performing a simulation to analyze wave behavior in a nonlinear system in a multi-tone environment, comprising: The nonlinear system of the multi-tone 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, 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 Storing setting data of modulation information of (t) and setting data of propagation characteristics of waves in the space; Dividing the space into a plurality of meshes; Storing setting data of amplitudes (A k ), frequencies (f k =ω k / 2π), and phases (φ k ), which are multiple constants or time-varying variables applied to multiple (k=1 to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula (23); generating a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A k ), the plurality of frequencies (f k =ω k / 2π) and the plurality of phases (φ k ); synthesizing the plurality of single-tone waves to generate an output signal s(t) of the following equation (24) corresponding to a wave having an initial phase φ 0 , an instantaneous amplitude change A(t) that is a time-varying variable, and an instantaneous frequency change f(t) that is a time-varying variable; Based on the output signal s(t) and the setting data of the propagation characteristics of the wave in the space, for each of the plurality of meshes, the wave s of the output signal s(t) emitted from each of the plurality of wave sources (k=1 to n) is calculated. ｋ (t) calculates the signal strength s(x, t) including the amplitude, frequency and time change of a plurality of waves (k = 1 to n) that have arrived at the reception point at the coordinate x of the mesh using the following formula (28), and outputs an arrival profile, which is the time change of the signal strength s(x, t) of the waves that have arrived at the reception point at the coordinate x of the mesh from each of the plurality of wave sources (k = 1 to n), for each mesh; The instantaneous amplitude change A(t) is expressed as a time function of the following equation (25): The 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: [Equation 7] [Equation 8] [Equation 9] [Equation 10] [0011] [0012]

5. 5. The apparatus of claim 4, calculating a result of the simulation based on the arrival profile for each mesh.

6. The method of claim 4 or 5, 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.

7. A program for causing a computer or processor to function as the device of claim 1, 2 or 3.

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