Multi-channel complementary phase coded frequency modulation waveform design method, device and system

Abstract

The present invention proposes a multi-channel complementary phase coded frequency modulation waveform design method, device and system, including: establishing an optimization model of a multi-channel complementary phase coded frequency modulation waveform resistant to SMSP interference in the context of anti-SMSP application, taking the overall response level of the interference signal and the sidelobe level of the target signal as the optimization criterion, considering the mutual interference problem between different channels; solving the coding vector gradient of the objective function in the optimization model with respect to the coding vector; using the coding vector gradient to calculate the search direction, iteratively updating the waveform coding vector until convergence, and outputting the optimized waveform coding vector; using the optimized waveform coding vector to solve the corresponding multi-channel complementary phase coded frequency modulation waveform resistant to SMSP interference. The present invention is applicable to a multi-channel radar system, and by designing multiple complementary waveforms, the accumulation of target energy and the cancellation of interference energy are achieved, thereby improving the anti-SMSP interference performance of the waveform.

Description

Technical Field

[0001] The present invention mainly relates to the technical field of radar active interference suppression, and in particular to a multi-channel complementary phase-coded frequency modulation waveform design method, device and system. Background Art

[0002] Spectral dispersion jamming (SMSP) is a kind of intra-pulse active coherent jammer. In practical applications, the SMSP jammer first intercepts the enemy radar's transmission waveform, downsamples and replicates the signal to generate interference signals, and forwards them. Since these interference signals have a strong correlation with the radar transmission waveform, a large number of false targets will be generated when matched filtering is performed at the receiving end, thus affecting the detection of real targets.

[0003] In response to the SMSP suppression problem, domestic and foreign scholars have conducted a lot of research and made some progress. According to different processing mechanisms, these methods can be divided into two categories: one is passive interference suppression method, and the other is active interference suppression method. Passive interference suppression method reconstructs the interference signal by estimating the interference parameters, and adopts cancellation strategy to eliminate the interference of false targets on real targets. The active interference suppression method is that before the interference signal enters the receiver, the radar system adaptively adjusts the transmission and receiving parameters according to the environmental parameters to actively reduce the response to the interference signal and try to avoid the interference signal from entering the radar receiver.

[0004] Existing SMSP suppression methods are only applicable to single-channel radar systems, and anti-SMSP methods usually only consider the design freedom of a single transmission waveform, which limits the anti-SMSP interference performance. Summary of the invention

[0005] Aiming at the problem of multi-channel complementary PCFM waveform design under the anti-SMSP background, the problem of limited anti-SMSP performance of adaptive signal processing at the receiving end and single waveform optimization method at the transmitting end, and low operating efficiency of the classic iterative algorithm, the present invention proposes a multi-channel complementary phase coded frequency modulation waveform design method, device and system.

[0006] To achieve the above purpose, the technical solution adopted by the present invention is as follows:

[0007] On the one hand, the present invention provides a multi-channel complementary phase coded frequency modulation waveform design method, comprising:

[0008] In the context of anti-SMSP application, the optimization criterion is to minimize the overall response level of the interference signal and the sidelobe level of the target signal, and the mutual interference between different channels is considered to establish a multi-channel complementary phase-coded frequency modulation waveform optimization model for anti-SMSP interference.

[0009] Solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model;

[0010] The search direction is calculated using the coding vector gradient, and the waveform coding vector is iteratively updated until convergence, and the optimized waveform coding vector is output.

[0011] The optimized waveform coding vector is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference.

[0012] On the other hand, a multi-channel complementary phase coded frequency modulation waveform design device is provided, comprising:

[0013] The first module is used to establish an optimization model for multi-channel complementary phase-coded frequency modulation waveforms against SMSP interference, taking the minimization of the overall response level of the interference signal and the sidelobe level of the target signal as the optimization criterion, and considering the mutual interference problem between different channels in the context of anti-SMSP application.

[0014] The second module is used to solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model;

[0015] The third module is used to calculate the search direction using the coding vector gradient, iteratively update the waveform coding vector until convergence, and output the optimized waveform coding vector.

[0016] The fourth module is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference by using the optimized waveform coding vector.

[0017] On the other hand, a multi-channel radar system is provided, which uses the SMSP-interference-resistant multi-channel complementary phase-coded frequency modulation waveform generated by the above-mentioned multi-channel complementary phase-coded frequency modulation waveform design method as a transmitting waveform to improve the performance of resisting spectrum dispersion interference.

[0018] On the other hand, the present invention provides a computer device, including a memory and a processor, wherein the memory stores a computer program, and the processor implements the steps of the above-mentioned multi-channel complementary phase-coded frequency modulation waveform design method when executing the computer program.

[0019] On the other hand, the present invention provides a computer-readable storage medium having a computer program stored thereon, which implements the steps of the above-mentioned multi-channel complementary phase-coded frequency modulation waveform design method when executed by a processor.

[0020] On the other hand, the present invention provides a computer program product, which is stored on a computer-readable storage medium and includes computer instructions, which, when executed by a processor, enable a computer device to implement the steps of the above-mentioned multi-channel complementary phase-coded frequency modulation waveform design method.

[0021] Compared with the prior art, the technical effects of the present invention are:

[0022] The present invention is applicable to multi-channel radar systems. The existing SMSP suppression method is only applicable to single-channel radar systems, while the present invention aims at the SMSP suppression problem in multi-channel radar systems, ensuring the orthogonality of waveforms between different channels and realizing a PCFM waveform with anti-SMSP interference capability.

[0023] The present invention has a higher degree of optimization freedom. Traditional anti-SMSP methods usually only consider the design freedom of a single transmission waveform, while the present invention achieves the accumulation of target energy and the cancellation of interference energy by designing multiple complementary waveforms, thereby improving the waveform's anti-SMSP interference performance. BRIEF DESCRIPTION OF THE DRAWINGS

[0024] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the structures shown in these drawings without paying creative work.

[0025] Figure 1 is a flow chart of a multi-channel complementary phase coded frequency modulation waveform design method provided by an embodiment;

[0026] Figure 2 This is the result of the linear frequency modulation signal pulse compression of the two-channel radar system without SMSP interference. Figure 2 (a) is the linear frequency modulation signal pulse compression result diagram of channel 1 without SMSP interference. Figure 2 (b) is the linear frequency modulation signal pulse compression result diagram of channel 2 without SMSP interference;

[0027] Figure 3 This is the result of the linear frequency modulation signal pulse compression of the two-channel radar system when SMSP interference exists. Figure 3 (a) is the pulse compression result of the linear frequency modulation signal of channel 1 when SMSP interference exists. Figure 3 (b) is the linear frequency modulation signal pulse compression result diagram of channel 2 when SMSP interference exists;

[0028] Figure 4 This is the optimized waveform pulse compression result diagram of the two-channel radar system under the condition of SMSP interference when K=1, where Figure 4 (a) is the optimized waveform pulse pressure result diagram of channel 1 when K=1 under the condition of SMSP interference. Figure 4(b) is the optimized waveform pulse pressure result diagram of channel 2 when K=1 under the condition of SMSP interference;

[0029] Figure 5 This is the optimized waveform pulse compression result diagram of the two-channel radar system under the condition of SMSP interference when K=3, where Figure 5 (a) is the optimized waveform pulse pressure result diagram of channel 1 when K=3 under the condition of SMSP interference. Figure 5 (b) is the optimized waveform pulse pressure result diagram of channel 2 when K=3 under the condition of SMSP interference. DETAILED DESCRIPTION

[0030] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0031] In one embodiment of the present invention, referring to Figure 1 , a multi-channel complementary phase coded frequency modulation waveform design method is provided, comprising:

[0032] In the context of anti-SMSP application, the optimization criterion is to minimize the overall response level of the interference signal and the sidelobe level of the target signal, and the mutual interference between different channels is considered to establish a multi-channel complementary phase-coded frequency modulation waveform optimization model for anti-SMSP interference.

[0033] Solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model;

[0034] The search direction is calculated using the coding vector gradient, and the waveform coding vector is iteratively updated until convergence, and the optimized waveform coding vector is output.

[0035] The optimized waveform coding vector is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference.

[0036] The optimization model of multi-channel complementary phase-coded frequency modulation waveform to resist SMSP interference is established as follows:

[0037] ;

[0038] The encoding vector , Indicates the number of complementary waveforms for each channel, represents the code vector length of the waveform, represents the number of channels considered, Represents the encoding vector The dimension is , represents the Hadamard product, Represents a vector The square of the norm, Indicates the number of radar system channels, Respectively represent The first The phase encoding vector of a multi-channel complementary phase-coded FM waveform, Indicates the number of waveforms that need to be designed in each channel. Indicates channel With channel The cross-correlation vector between the waveforms, Indicates channel Multi-channel complementary phase coded frequency modulation waveform and channel The cross-correlation vector between the SMSP interferences, Indicates channel With channel The autocorrelation vector between the waveforms, Indicates channel Multi-channel complementary phase coded frequency modulation waveform and channel The cross-correlation vector between the SMSP interferences, The dimension used to extract the waveform autocorrelation main lobe response is The vector of The dimension used to extract the waveform autocorrelation sidelobe response is The vector of Represents the number of time domain sampling points of a single multi-channel complementary phase-coded frequency modulation waveform. In practical applications, the vector The middle The value of elements is 1, and the rest are 0. represents the oversampling factor of the phase-coded FM waveform; vector The middle The value of elements is 0, and the rest are 1;

[0039] and Calculated by the following formula:

[0040] ;

[0041] in, represents the Fourier transform matrix, represents the conjugate operation, represents the transpose operation, , , , Indicates The first A multi-channel complementary phase-coded FM waveform, , Indicates The first A multi-channel complementary phase-coded FM waveform, , Indicates The first The SMSP interference corresponding to the multi-channel complementary phase coded FM waveform is , Represents the filter matrix of a multi-channel complementary phase-coded frequency modulated waveform, Represents the sampling matrix of SMSP interference.

[0042] Next, the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model is solved. The coding vector gradient of the objective function with respect to the coding vector solved by the present invention is expressed as:

[0043] ;

[0044] Any of these Represents the objective function Relative to the phase encoding vector The partial derivative of can be expressed as:

[0045] ;

[0046] in, represents the vector diagonalization operation, By the filter matrix Pad with zeros.

[0047] The search direction is calculated using the coding vector gradient, and the waveform coding vector is iteratively updated, where the updated waveform coding vector can be expressed as:

[0048] ;

[0049] in, Indicates The encoding vector of the iteration, Indicates The update step size of the iteration, Indicates The descent direction of the iteration;

[0050] ;

[0051] in Represents the encoding vector of the objective function at the tth iteration The gradient of the encoded vector at Represents the encoding vector of the objective function at the tth iteration The Hessian matrix at .

[0052] The encoding vector of the objective function at iteration t is The Hessian matrix at , the calculation formula is:

[0053] ;

[0054] in, represents the semi-positive definite matrix given in advance in each iteration, , represents the identity matrix, represents the auxiliary coefficient, represents the inner product operation, Indicates that the encoding vector is The update amount at the iteration, Indicates The encoding vector of the iteration, represents the gradient of the objective function with respect to the encoding vector at The update at the iteration, .

[0055] Set the preset value for iterative updates. When the number of iterations reaches the preset value, , then stop the iteration and output the optimized waveform encoding vector .

[0056] The present invention has better optimization performance. For non-convex waveform design problems, traditional solution methods usually rely on the first-order information of the objective function to determine the search direction and the descending step size, and then iteratively update the waveform until convergence. However, the present invention uses the first-order information of the objective function to approximate the inverse Hessian matrix of the objective function, and adopts a quasi-second-order search method, thereby achieving better waveform design performance.

[0057] Using optimized waveform coding vector Solving the corresponding multi-channel complementary phase-coded frequency modulation waveform to resist SMSP interference, we can get

[0058] ;

[0059] in Represents the filter matrix of a multi-channel complementary phase-coded frequency modulated waveform, Represents the encoding vector corresponding to the k-th multi-channel complementary phase coded frequency modulation waveform of the optimized m-th channel, satisfying

[0060] .

[0061] The present invention is applicable to a multi-channel radar system, which not only ensures the orthogonality of waveforms between different channels, but also realizes a PCFM waveform with anti-SMSP interference capability. To prove the effectiveness of the present invention, the effect of the present invention is further illustrated by the following numerical simulation experiment:

[0062] Experimental scenario:

[0063] The following experiments were conducted on a computer (core 2.30GHz i7-12700H, RAM 40.0GB), using Pytorch version 2.2.2. During the experiment, a two-channel radar system was considered, the radar waveform time domain width was 20us microseconds, the sampling rate was 10MHz, and the jammer downsampled the radar waveform Set to 4.

[0064] The two-channel radar system uses the SMSP-interference-resistant multi-channel complementary phase-coded frequency modulation waveform generated by the multi-channel complementary phase-coded frequency modulation waveform design method as the transmission waveform to improve the anti-spectral dispersion interference performance. Specifically, the multi-channel complementary phase-coded frequency modulation waveform design method has the following steps:

[0065] In the context of anti-SMSP application, the optimization criterion is to minimize the overall response level of the interference signal and the sidelobe level of the target signal, and the mutual interference between different channels is considered to establish a multi-channel complementary phase-coded frequency modulation waveform optimization model for anti-SMSP interference.

[0066] Solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model;

[0067] The search direction is calculated using the coding vector gradient, and the waveform coding vector is iteratively updated until convergence, and the optimized waveform coding vector is output.

[0068] The optimized waveform coding vector is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference and is used as the transmitting waveform.

[0069] Figure 2 This is the result of the linear frequency modulation signal pulse compression of the two-channel radar system without SMSP interference. Figure 2 (a) is the linear frequency modulation signal pulse compression result diagram of channel 1 without SMSP interference. Figure 2 (b) is the linear frequency modulation signal pulse compression result diagram of channel 2 without SMSP interference. Figure 2As shown in Figure 2, two significant targets are easily identified because their peaks are significantly higher than the sidelobe levels. When SMSP interference is introduced into the transmitted linear FM signal, the sidelobe level increases significantly, which may cause target detection failure, such as Figure 3 As shown, Figure 3 This is the result of the linear frequency modulation signal pulse compression of the two-channel radar system when SMSP interference exists. Figure 3 (a) is the pulse compression result of the linear frequency modulation signal of channel 1 when SMSP interference exists. Figure 3 (b) is the linear frequency modulation signal pulse compression result diagram of channel 2 when SMSP interference exists.

[0070] In contrast, Figure 4 This is the optimized waveform pulse compression result diagram of the two-channel radar system under the condition of SMSP interference when K=1, where Figure 4 (a) is the optimized waveform pulse pressure result diagram of channel 1 when K=1 under the condition of SMSP interference. Figure 4 (b) is the optimized waveform pulse compression result diagram of channel 2 when K=1 under the condition of SMSP interference. In these cases, the sidelobe level caused by SMSP interference is effectively suppressed, which improves the performance of the radar system under SMSP interference.

[0071] Figure 5 This is the optimized waveform pulse compression result diagram of the two-channel radar system under the condition of SMSP interference when K=3, where Figure 5 (a) is the optimized waveform pulse pressure result diagram of channel 1 when K=3 under the condition of SMSP interference. Figure 5 (b) is the optimized waveform pulse pressure result diagram of channel 2 when K=3 under the condition of SMSP interference. Figure 5 (a) and Figure 5 As shown in (b), the sidelobe level is further reduced to about -13 dB, indicating that the anti-SMSP performance of the radar system is improved with the increase of $K$. It is expected that the SMSP suppression capability of the radar system will continue to increase with the increase of K, providing great potential for the further development of SMSP interference suppression.

[0072] On the other hand, an embodiment provides a multi-channel complementary phase coded frequency modulation waveform design device, comprising:

[0073] The first module is used to establish an optimization model for multi-channel complementary phase-coded frequency modulation waveforms against SMSP interference, taking the minimization of the overall response level of the interference signal and the sidelobe level of the target signal as the optimization criterion, and considering the mutual interference problem between different channels in the context of anti-SMSP application.

[0074] The second module is used to solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model;

[0075] The third module is used to calculate the search direction using the coding vector gradient, iteratively update the waveform coding vector until convergence, and output the optimized waveform coding vector.

[0076] The fourth module is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference by using the optimized waveform coding vector.

[0077] On the other hand, the present invention provides a computer device, including a memory and a processor, the memory storing a computer program, and the processor implementing the steps of the multi-channel complementary phase coded frequency modulation waveform design method provided in any of the above embodiments when executing the computer program. The computer device may be a server. The computer device includes a processor, a memory, a network interface and a database connected via a system bus. The processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program and a database. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The database of the computer device is used to store sample data. The network interface of the computer device is used to communicate with an external terminal via a network connection.

[0078] On the other hand, the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the multi-channel complementary phase-coded frequency modulation waveform design method provided in any of the above embodiments.

[0079] Those of ordinary skill in the art can understand that all or part of the processes in the above-mentioned embodiment methods can be implemented by instructing the relevant hardware through a computer program, and the computer program can be stored in a non-volatile computer-readable storage medium. When the computer program is executed, it can include the processes of the embodiments of the above-mentioned methods. Among them, any reference to memory, storage, database or other media used in the embodiments provided in this application may include non-volatile and / or volatile memory. Non-volatile memory may include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM) or flash memory. Volatile memory may include random access memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in many forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link (Synchlink) DRAM (SLDRAM), memory bus (Rambus) direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.

[0080] Matters not covered by the present invention are known technologies.

[0081] 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.

[0082] 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 invention. It should be pointed out that, for a person of ordinary skill in the art, several modifications 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.

[0083] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A multi-channel complementary phase coded frequency modulation waveform design method, characterized in that: include: In the context of anti-SMSP application, the optimization criterion is to minimize the overall response level of the interference signal and the sidelobe level of the target signal, and the mutual interference between different channels is considered to establish a multi-channel complementary phase-coded frequency modulation waveform optimization model for anti-SMSP interference. Solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model; The search direction is calculated using the coding vector gradient, the waveform coding vector is iteratively updated until convergence, and the optimized waveform coding vector is output; The optimized waveform coding vector is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference.

2. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 1, characterized in that: The optimization model of multi-channel complementary phase-coded frequency modulation waveform to resist SMSP interference is established as follows: The encoding vector , represents the Hadamard product, Represents a vector The square of the norm, Indicates the number of radar system channels, Respectively represent The first The phase encoding vector of a multi-channel complementary phase-coded FM waveform, Indicates the number of waveforms that need to be designed in each channel. Indicates channel With channel The cross-correlation vector between the waveforms, Indicates channel Multi-channel complementary phase coded frequency modulation waveform and channel The cross-correlation vector between the SMSP interferences, The dimension used to extract the waveform autocorrelation main lobe response is The vector of The dimension used to extract the waveform autocorrelation sidelobe response is The vector of The number of time-domain samples representing a single multi-channel complementary phase-coded FM waveform.

3. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 2, characterized in that: and Calculated by the following formula: in, represents the Fourier transform matrix, represents the conjugate operation, represents the transpose operation, , , , Indicates The first A multi-channel complementary phase-coded FM waveform, , Indicates The first A multi-channel complementary phase-coded FM waveform, , Indicates The first The SMSP interference corresponding to the multi-channel complementary phase coded FM waveform is , Filter matrix representing a multi-channel complementary phase-coded frequency modulated waveform.

4. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 2 or 3, characterized in that: The search direction is calculated using the encoding vector gradient, and the calculation formula is: in Represents the encoding vector of the objective function at the tth iteration The gradient of the encoded vector at Represents the encoding vector of the objective function at the tth iteration The Hessian matrix at .

5. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 4, characterized in that: The encoding vector of the objective function at iteration t is The Hessian matrix at , the calculation formula is: in, represents the semi-positive definite matrix given in advance in each iteration, , represents the identity matrix, represents the auxiliary coefficient, represents the inner product operation, Indicates that the encoding vector is The update amount at the iteration, Indicates The encoding vector of the iteration, represents the gradient of the objective function with respect to the encoding vector at The update at the iteration, .

6. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 5, characterized in that: Update the waveform code vector, expressed as: in, Indicates The encoding vector of the iteration, Indicates The update step size of the iteration, Indicates The descent direction of the iteration.

7. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 6, characterized in that: The number of iterations reaches the preset value , then stop the iteration and output the optimized waveform encoding vector .

8. The multi-channel complementary phase coded frequency modulation waveform design method according to claim 6, characterized in that: Using optimized waveform coding vector Solving the corresponding multi-channel complementary phase-coded frequency modulation waveform to resist SMSP interference, we can get in Represents the filter matrix of a multi-channel complementary phase-coded frequency modulated waveform, Represents the encoding vector corresponding to the k-th multi-channel complementary phase coded frequency modulation waveform of the optimized m-th channel, satisfying 。 9. A multi-channel complementary phase coded frequency modulation waveform design device, characterized in that: include: The first module is used to establish an optimization model for multi-channel complementary phase-coded frequency modulation waveforms against SMSP interference, taking the minimization of the overall response level of the interference signal and the sidelobe level of the target signal as the optimization criterion, and considering the mutual interference problem between different channels in the context of anti-SMSP application. The second module is used to solve the coding vector gradient of the objective function with respect to the coding vector in the multi-channel complementary phase coded frequency modulation waveform optimization model; The third module is used to calculate the search direction using the coding vector gradient, iteratively update the waveform coding vector until convergence, and output the optimized waveform coding vector; The fourth module is used to solve the corresponding multi-channel complementary phase coded frequency modulation waveform that is resistant to SMSP interference by using the optimized waveform coding vector.

10. A multi-channel radar system, characterized in that: The SMSP-interference-resistant multi-channel complementary phase-coded frequency modulation waveform generated based on the multi-channel complementary phase-coded frequency modulation waveform design method as claimed in claim 1 is used as a transmission waveform to improve the performance of resisting spectrum dispersion interference.

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