Electromagnetic regulation and control device based on microwave photons

Abstract

The invention belongs to the technical field of electromagnetic regulation and control, and relates to an electromagnetic regulation and control device based on microwave photons, which comprises a modulation module, a delay module and a photoelectric detection module, the modulation module is connected with the input end so as to carry out electromagnetic regulation and control on an input microwave radio-frequency signal by utilizing an optical carrier signal and a periodic rectangular signal, and modulate the microwave radio-frequency signal to the optical carrier signal under positive and negative orthogonal transmission bias points, so that single-bit phase shift of the microwave radio-frequency signal is realized, and a modulation signal is obtained; the time delay module is connected with the modulation module, so that the modulation signal generates time shift to obtain a time delay signal; and the photoelectric detection module is connected with the time delay module and the output end so as to perform photoelectric conversion on the time delay signal to obtain a microwave radio frequency signal and send the microwave radio frequency signal to the output end so as to generate microwave photon electromagnetic regulation and control. According to the invention, electromagnetic regulation and control can be carried out in the pulse and between the pulses of the signal.

Description

Technical Field

[0001] The present application relates to the field of electromagnetic control technology, and in particular to an electromagnetic control device based on microwave photons. Background Art

[0002] For a long time, electronic information systems have been an important part of modern science and technology and play an important role in various fields. Among them, linear frequency modulation (LFM) technology has been widely used in electronic information systems due to its excellent performance, especially in distance and speed measurement capabilities. With the increasing complexity of the electromagnetic environment, the technical improvement of electronic information systems, especially the improvement of electromagnetic control technology, has become increasingly important.

[0003] In the prior art, the means of electromagnetic control for electronic information systems mainly include: high-power noise suppression, digital radio frequency memory, microwave photon radio frequency memory, etc.

[0004] However, traditional means of high-power noise suppression have disadvantages such as high cost and limited disturbance effect; traditional digital RF memory is limited by the inherent bottlenecks of electronic equipment, and has disadvantages such as narrow working bandwidth, small instantaneous bandwidth, large size and single frequency band; traditional microwave photonic RF memory has disadvantages such as high cost and complex structure. Summary of the invention

[0005] Based on this, it is necessary to provide an electromagnetic control device based on microwave photons to address the above technical problems, which can perform electromagnetic control within and between pulses of the signal and has an ultra-wide operating bandwidth and extremely high intra-band phase shift consistency.

[0006] An electromagnetic control device based on microwave photons, comprising: a modulation module, a delay module and a photoelectric detection module; The modulation module is connected to the input end to use the optical carrier signal and the periodic rectangular signal to electromagnetically control the input microwave radio frequency signal, modulate the microwave radio frequency signal onto the optical carrier signal under the positive and negative orthogonal transmission bias points, realize the single-bit phase shift of the microwave radio frequency signal, and obtain the modulated signal; The delay module is connected to the modulation module to cause the modulation signal to be time-shifted to obtain a delayed signal; The photoelectric detection module is connected to the delay module and the output end to perform photoelectric conversion on the delay signal to obtain a microwave radio frequency signal, and send it to the output end to generate microwave photon electromagnetic regulation.

[0007] In one embodiment, the delay module includes: a plurality of delay links; One corresponding end of the delay link is connected to the modulation module, and the other corresponding end is connected to the photoelectric detection module, so that all the delay links form a parallel structure.

[0008] In one embodiment, the input end includes: a first amplifier, a light emitting diode, and a signal generator; The first amplifier is connected to the receiving antenna and the modulation module to amplify the microwave radio frequency signal of the receiving antenna and use it as the first input signal of the modulation module; The light emitting diode is connected to the modulation module to output an optical carrier signal as a second input signal of the modulation module; The signal generator is connected to the modulation module to output a periodic rectangular signal of an arbitrary waveform as the third input signal of the modulation module.

[0009] In one embodiment, it further includes: a second amplifier; The second amplifier is an erbium-doped fiber amplifier, which is arranged between the modulation module and the delay module to amplify the modulated signal and send it to the delay module.

[0010] In one embodiment, it further comprises: a single-mode optical fiber; The single-mode optical fiber is arranged between the delay module and the photoelectric detection module so that the delay signal maintains a single mode and is sent to the photoelectric detection module. In one embodiment, it further includes: a third amplifier; The third amplifier is a power amplifier, which is arranged between the photoelectric detection module and the output end to amplify the microwave radio frequency signal and send it to the output end.

[0011] In one embodiment, the delay signal is:

[0012] In the formula, is the delayed signal input to the photoelectric detection module through the delay link, For the A delay link, is the number of delay links, For the The amplitude coefficient of the delay link, For the The output signal of the delay link is For the The delay of a delay link.

[0013] In one embodiment, the microwave radio frequency signal is:

[0014]

[0015] In the formula, is the microwave radio frequency signal corresponding to the +Q point, is the modulation signal working at the +Q point, for The conjugate signal of is the responsivity of the photoelectric detection module, For time, is proportional to, for The first-order Bessel function of the first kind, is the modulation index of the modulation module, is the half voltage of the modulation module, is the imaginary number symbol, is the center frequency of the microwave RF signal, is the frequency modulation frequency of the microwave RF signal, is the microwave radio frequency signal corresponding to the -Q point, is the modulation signal working at -Q point, for conjugate signal.

[0016] In one embodiment, the output signal is:

[0017] In the formula, is the frequency domain of the output signal, is the frequency domain of the received microwave RF signal, is convolution, is the frequency domain of periodic rectangular signal, is the order, are the coefficients of different order sidebands of the output signal, is the half voltage of the modulation module, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal.

[0018] In one embodiment, the matched filtering result is:

[0019] in,

[0020] In the formula, is the matched filtering result of a delay link in the delay module, After a delay of The output signal obtained by channel delay is Microwave RF signal Conjugate the signal and negate it, For time, is the channel delay, is convolution, is the order, For the highest level, To round down, Echo signal bandwidth, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal, is the coefficient of each order sideband after matching filtering, are the coefficients of different order sidebands of the output signal, is the half voltage of the modulation module, is the pulse duration of the microwave RF signal, is the sampling function, is the frequency modulation frequency of the microwave RF signal, is the frequency of the periodic rectangular signal;

[0021] In the formula, is the matched filtering result synthesized by all delay links in the delay module, For the A delay link, is the number of delay links, For the The amplitude coefficient of the delay link, For the The matched filtering result of the delayed link is: For the The delay of a delay link.

[0022] The above-mentioned electromagnetic control device based on microwave photons uses basic microwave photonic devices to build a microwave photonic link modulation link, and designs multiple optical fiber delay links. Phase modulation and delay technology are used to jointly control microwave radio frequency signals in the microwave photonic link. The microwave radio frequency signal is first modulated into the optical domain for phase modulation (phase modulation of the input ultra-wideband microwave radio frequency signal is performed under positive and negative orthogonal transmission bias points to achieve single-bit phase shift of the ultra-wideband radio frequency signal) and delay processing (multi-path delay links are constructed using optical fiber delay lines), and then demodulated into the microwave domain to generate coherent signals, which are output by the power amplifier PA, thereby combining time domain and frequency domain information to generate intra-pulse and inter-pulse electromagnetic control. The present application applies phase modulation and delay technology to the bias point control of MZM in a microwave photonic link. Electromagnetic control can be performed within and between pulses of microwave radio frequency signals only by controlling the bias point of MZM and delaying the processing. The device has a simple, economical and compact structure, can effectively reduce volume and size, and reduce costs, and has an ultra-wide working bandwidth (modulating the radio frequency microwave band onto light and then modulating it down has a higher bandwidth than processing in the microwave frequency band) and extremely high intra-band phase shift consistency (amplitude-phase consistency). It has high applicability and design flexibility, and can achieve good electromagnetic control effects within and between pulses of microwave radio frequency signals. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] Figure 1 is a schematic diagram of an electromagnetic control device based on microwave photons in one embodiment; Figure 2 A result diagram of a matched filtering detection in an electronic information system of the prior art in one embodiment; Figure 3 This is a diagram showing the result of matched filtering detection by the electronic information system of the present application in one embodiment.

[0024] Reference numerals: A first amplifier 10 , a light emitting diode 20 , a signal generator 30 , a modulation module 40 , a second amplifier 50 , a delay module 60 , a single-mode optical fiber 70 , a photoelectric detection module 80 , and a third amplifier 90 . DETAILED DESCRIPTION

[0025] In order to make the purpose, technical solutions and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not intended to limit the present application. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in the field without making creative work are within the scope of protection of the present application.

[0026] It should be noted that all directional indications in the embodiments of the present application (such as up, down, left, right, front, back, etc.) are only used to explain the relative position relationship, movement status, etc. between the components under a certain specific posture (as shown in the accompanying drawings). If the specific posture changes, the directional indication will also change accordingly.

[0027] In addition, the descriptions of "first", "second", etc. in this application are only for descriptive purposes and cannot be understood as indicating or implying their relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" or "second" may explicitly or implicitly include at least one of the features. In the description of this application, "multiple groups" means at least two groups, such as two groups, three groups, etc., unless otherwise clearly and specifically defined.

[0028] In this application, unless otherwise clearly specified and limited, the terms "connection", "fixation", etc. should be understood in a broad sense. For example, "fixation" can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection, an electrical connection, a physical connection, or a wireless communication connection; it can be a direct connection, or an indirect connection through an intermediate medium, or it can be the internal connection of two elements or the interaction relationship between two elements, unless otherwise clearly defined. For ordinary technicians in this field, the specific meanings of the above terms in this application can be understood according to specific circumstances.

[0029] In addition, the technical solutions between the various embodiments of the present application can be combined with each other, but it must be based on the fact that ordinary technicians in the field can implement it. When the combination of technical solutions is contradictory or cannot be implemented, it should be deemed that such combination of technical solutions does not exist and is not within the scope of protection required by this application.

[0030] The present application provides an electromagnetic control device based on microwave photons, such as Figure 1 As shown, in one embodiment, it includes: a modulation module, a delay module and a photoelectric detection module. The modulation module is connected to the input end to electromagnetically control the input microwave radio frequency signal using the optical carrier signal and the periodic rectangular signal, modulate the microwave radio frequency signal onto the optical carrier signal under the positive and negative orthogonal transmission bias points, realize the single-bit phase shift of the microwave radio frequency signal, and obtain the modulation signal. Among them, the input end includes: a first amplifier, a light-emitting diode and a signal generator; the first amplifier is connected to the receiving antenna and the modulation module to amplify the microwave radio frequency signal of the receiving antenna and use it as the first input signal of the modulation module; the light-emitting diode is connected to the modulation module to output the optical carrier signal and use it as the second input signal of the modulation module; the signal generator is connected to the modulation module to output a periodic rectangular signal of an arbitrary waveform and use it as the third input signal of the modulation module.

[0031] The delay module is connected to the modulation module to cause the modulation signal to time shift and obtain a delayed signal.

[0032] The photoelectric detection module is connected to the delay module and the output end to perform photoelectric conversion on the delay signal to obtain a microwave radio frequency signal, and send it to the output end to generate microwave photon electromagnetic regulation.

[0033] Preferably, the delay module includes: a plurality of delay links; one corresponding end of the delay link is connected to the modulation module, and the other corresponding end is connected to the photoelectric detection module, so that all delay links form a parallel structure. The delay link can be an optical fiber delay link, and the delays of different delay links are different to produce different intra-pulse and inter-pulse electromagnetic regulation.

[0034] In one embodiment, it also includes: a second amplifier; that is, the electromagnetic control device includes: a modulation module, a second amplifier, a delay module and a photoelectric detection module; the second amplifier is an erbium-doped fiber amplifier, which is arranged between the modulation module and the delay module to amplify the modulated signal and send it to the delay module, so as to avoid the optical signal power obtained after passing through the delay module being too small, thereby avoiding the electromagnetic control amplitude being small and improving the generation effect.

[0035] In one embodiment, it also includes: single-mode optical fiber; that is, the electromagnetic control device includes: a modulation module, a second amplifier, a delay module, a single-mode optical fiber and a photoelectric detection module; the single-mode optical fiber is arranged between the delay module and the photoelectric detection module to keep the delayed signal in a single mode and send it to the photoelectric detection module, avoiding excessive dispersion and loss, and realizing long-distance transmission of optical signals. In one embodiment, it also includes: a third amplifier; that is, the electromagnetic control device includes: a modulation module, a second amplifier, a delay module, a single-mode optical fiber, a photoelectric detection module and a third amplifier; the third amplifier is a power amplifier, which is arranged between the photoelectric detection module and the output end to amplify the microwave radio frequency signal and send it to the output end, so as to avoid the output generated signal having low power and avoid loss in the air, thereby increasing the electromagnetic control amplitude and improving the generation effect.

[0036] In this embodiment, the electromagnetic control process includes: 1) The input end includes: a first amplifier, a light emitting diode and a signal generator; The first amplifier (specifically a low noise amplifier LNA) outputs a microwave radio frequency signal:

[0037] in,

[0038] In the formula, is a microwave radio frequency signal, is the gate signal, For time, is the pulse width of the microwave RF signal, is the center frequency of the microwave RF signal, is the frequency modulation frequency of the microwave radio frequency signal; The light emitting diode (specifically a laser diode LD) outputs an optical carrier signal:

[0039] In the formula, is the optical carrier signal, is the amplitude of the optical carrier, is the imaginary number symbol, is the angular frequency of the optical carrier, For time; The signal generator outputs a periodic rectangular signal (specifically a periodic modulated bias signal Vbias):

[0040] In the formula, is the time domain representation of a periodic rectangular signal, is the half voltage of the modulation module, is the order, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal, For time, is the frequency domain representation of a periodic rectangular signal, are the coefficients of different order sidebands, is the impulse function, is the frequency; 2) The modulation module (specifically using a Mach-Zehnder modulator MZM) uses an optical carrier signal and a periodic rectangular signal to electromagnetically control the input microwave radio frequency signal, and modulates the microwave radio frequency signal onto the optical carrier signal at the positive and negative orthogonal transmission bias points (also the working points of the MZM, namely ±Q) (i.e., the modulation process of the MZM driven by the electrical signal loaded on each arm of the MZM periodically works at the +Q and -Q points with the periodic rectangular signal), thereby realizing a single-bit phase shift of the microwave radio frequency signal and obtaining different modulation signals output with time periods; 3) The second amplifier (specifically an erbium-doped fiber amplifier EDFA) amplifies the modulated signal; 4) The delay module performs delay processing to cause the amplified modulated signal to produce frequency shift and phase shift to obtain a delayed signal:

[0041] In the formula, is the delayed signal input to the photoelectric detection module through the delay link, is the sequence number of the delay link, i.e. A delay link, is the number of delay links, For the The amplitude coefficient of the delay link, For the The output signal of the delay link is For the The delay of a delay link; 5) Single-mode fiber (SMF) keeps the delayed signal in a single mode, that is, it transmits a single-mode optical signal; 6) The photoelectric detection module (specifically using a photoelectric detector PD) performs photoelectric conversion on the single-mode delayed signal to obtain microwave radio frequency signals output at two working points (under small signal conditions, ignoring DC and high-order components):

[0042]

[0043] In the formula, is the microwave radio frequency signal corresponding to the +Q point, is the modulation signal working at the +Q point, for The conjugate signal of is the responsivity of the photoelectric detection module, For time, is proportional to, for The first-order Bessel function of the first kind, is the modulation index (MI) of the modulation module, is the half voltage of the modulation module, is the imaginary number symbol, is the center frequency of the microwave RF signal, is the frequency modulation frequency of the microwave RF signal, is the microwave radio frequency signal corresponding to the -Q point, is the modulation signal working at -Q point, for The conjugate signal of 7) A third amplifier (specifically a power amplifier PA) amplifies the microwave radio frequency signal; 8) The output end sends out the amplified microwave radio frequency signal, which changes the characteristics of the normal echo signal. The echo signal produces frequency shift and time shift, which makes the matched filtering result of the other party's electronic information system also have redundant components, thereby generating microwave photon electromagnetic control within the pulse and between pulses (different positions between pulses); Among them, the output signal (i.e. the coherent generated signal) is:

[0044] In the formula, is the frequency domain of the output signal, is the frequency domain of the received microwave RF signal, is convolution, is the frequency domain of periodic rectangular signal, is the order, are the coefficients of different order sidebands of the output signal, is the half voltage of the modulation module, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal; After receiving our output signal, the other party performs matched filtering to detect the target, and the matched filtering result is:

[0045] in,

[0046] In the formula, is the matched filtering result of a delay link in the delay module, After a delay of The output signal obtained by channel delay is Microwave RF signal Conjugate the signal and negate it, For time, is the channel delay, is convolution, is the order, For the highest level, To round down, Echo signal bandwidth, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal, is the coefficient of each order sideband after matching filtering, are the coefficients of different order sidebands of the output signal, is the half voltage of the modulation module, is the pulse duration of the microwave radio frequency signal (i.e. the pulse width of the microwave radio frequency signal), is the sampling function, is the frequency modulation frequency of the microwave RF signal, is the frequency of the periodic rectangular signal;

[0047] In the formula, is the matched filtering result synthesized by all delay links in the delay module, For the A delay link, is the number of delay links, For the The amplitude coefficient of the delay link, For the The matched filtering result of the delayed link is: For the The delay of a delay link.

[0048] It should be noted that the first amplifier and the third amplifier can be replaced by a TR module with a power amplifier PA and a low noise amplifier LNA, such as a horn antenna.

[0049] The above-mentioned electromagnetic control device based on microwave photons uses basic microwave photonic devices to build a microwave photonic link modulation link, and designs multiple optical fiber delay links. Phase modulation and delay technology are used to jointly control microwave radio frequency signals in the microwave photonic link. The microwave radio frequency signal is first modulated into the optical domain for phase modulation (phase modulation of the input ultra-wideband microwave radio frequency signal is performed under positive and negative orthogonal transmission bias points to achieve single-bit phase shift of the ultra-wideband radio frequency signal) and delay processing (multi-path delay links are constructed using optical fiber delay lines), and then demodulated into the microwave domain to generate coherent signals, which are output by the power amplifier PA, thereby combining time domain and frequency domain information to generate intra-pulse and inter-pulse electromagnetic control. The present application applies phase modulation and delay technology to the bias point control of MZM in a microwave photonic link. Electromagnetic control can be performed within and between pulses of microwave radio frequency signals only by controlling the bias point of MZM and delaying the processing. The device has a simple, economical and compact structure, can effectively reduce volume and size, and reduce costs, and has an ultra-wide working bandwidth (modulating the radio frequency microwave band onto light and then modulating it down has a higher bandwidth than processing in the microwave frequency band) and extremely high intra-band phase shift consistency (amplitude-phase consistency). It has high applicability and design flexibility, and can achieve good electromagnetic control effects within and between pulses of microwave radio frequency signals.

[0050] In a specific embodiment, experimental testing was performed.

[0051] like Figure 2 As shown in the result diagram of the detection of matched filtering by the electronic information system of the prior art, it can be seen that the two pulse signals respectively detect the real position information of the unique target.

[0052] like Figure 3 As shown in the result diagram of the electronic information system of the present application after detection of matched filtering, it can be seen that the distance spectrum has 4 time delays, and the electromagnetic control peak clusters appear symmetrically relative to the target position, showing good electromagnetic control effects both within and between pulses.

[0053] The contents not described in detail in this specification belong to the prior art known to professional and technical personnel in this field.

[0054] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0055] The above-described embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the present application. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the protection scope of the present application shall be subject to the attached claims.

Claims

1. An electromagnetic control device based on microwave photons, characterized in that: include: Modulation module, delay module and photoelectric detection module; The modulation module is connected to the input end to use the optical carrier signal and the periodic rectangular signal to electromagnetically control the input microwave radio frequency signal, modulate the microwave radio frequency signal onto the optical carrier signal under the positive and negative orthogonal transmission bias points, realize the single-bit phase shift of the microwave radio frequency signal, and obtain the modulated signal; The delay module is connected to the modulation module to cause the modulation signal to be time-shifted to obtain a delayed signal; The photoelectric detection module is connected to the delay module and the output end to perform photoelectric conversion on the delay signal to obtain a microwave radio frequency signal, and send it to the output end to generate microwave photon electromagnetic regulation.

2. The electromagnetic control device based on microwave photons according to claim 1, characterized in that: The delay module includes: a plurality of delay links; One corresponding end of the delay link is connected to the modulation module, and the other corresponding end is connected to the photoelectric detection module, so that all the delay links form a parallel structure.

3. The electromagnetic control device based on microwave photons according to claim 2 is characterized in that: The input end includes: a first amplifier, a light emitting diode and a signal generator; The first amplifier is connected to the receiving antenna and the modulation module to amplify the microwave radio frequency signal of the receiving antenna and use it as the first input signal of the modulation module; The light emitting diode is connected to the modulation module to output an optical carrier signal as a second input signal of the modulation module; The signal generator is connected to the modulation module to output a periodic rectangular signal of an arbitrary waveform as the third input signal of the modulation module.

4. The electromagnetic control device based on microwave photons according to any one of claims 1 to 3, characterized in that: Also includes: A second amplifier; The second amplifier is an erbium-doped fiber amplifier, which is arranged between the modulation module and the delay module to amplify the modulated signal and send it to the delay module.

5. The electromagnetic control device based on microwave photons according to claim 4, characterized in that: Also includes: Single mode optical fiber; The single-mode optical fiber is arranged between the delay module and the photoelectric detection module so that the delay signal maintains a single mode and is sent to the photoelectric detection module.

6. The electromagnetic control device based on microwave photons according to claim 5, characterized in that: Also includes: A third amplifier; The third amplifier is a power amplifier, which is arranged between the photoelectric detection module and the output end to amplify the microwave radio frequency signal and send it to the output end.

7. The electromagnetic control device based on microwave photons according to any one of claims 1 to 3, characterized in that: The delay signal is: In the formula, is the delayed signal input to the photoelectric detection module through the delay link, For the A delay link, is the number of delay links, For the The amplitude coefficient of the delay link, For the The output signal of the delay link is For the The delay of a delay link.

8. The electromagnetic control device based on microwave photons according to any one of claims 1 to 3, characterized in that: The microwave radio frequency signal is: In the formula, is the microwave radio frequency signal corresponding to the +Q point, is the modulation signal working at the +Q point, for The conjugate signal of is the responsivity of the photoelectric detection module, For time, is proportional to, for The first-order Bessel function of the first kind, is the modulation index of the modulation module, is the half voltage of the modulation module, is the imaginary number symbol, is the center frequency of the microwave RF signal, is the frequency modulation frequency of the microwave RF signal, is the microwave radio frequency signal corresponding to the -Q point, is the modulation signal working at -Q point, for conjugate signal.

9. The electromagnetic control device based on microwave photons according to any one of claims 1 to 3, characterized in that: The output signal is: In the formula, is the frequency domain of the output signal, is the frequency domain of the received microwave RF signal, is convolution, is the frequency domain of periodic rectangular signal, is the order, are the coefficients of different order sidebands of the output signal, is the half voltage of the modulation module, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal.

10. The electromagnetic control device based on microwave photons according to any one of claims 1 to 3, characterized in that: The matched filtering result is: in, In the formula, is the matched filtering result of a delay link in the delay module, After a delay of The output signal obtained by channel delay is Microwave RF signal Conjugate the signal and negate it, For time, is the channel delay, is convolution, is the order, For the highest level, To round down, Echo signal bandwidth, is the frequency of the periodic rectangular signal, is the frequency period of the periodic rectangular signal, is the coefficient of each order sideband after matching filtering, are the coefficients of different order sidebands of the output signal, is the half voltage of the modulation module, is the pulse duration of the microwave RF signal, is the sampling function, is the frequency modulation frequency of the microwave RF signal, is the frequency of the periodic rectangular signal; In the formula, is the matched filtering result synthesized by all delay links in the delay module, For the A delay link, is the number of delay links, For the The amplitude coefficient of the delay link, For the The matched filtering result of the delayed link is: For the The delay of a delay link.

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