Pulse compression method and device for combined intra-pulse and inter-pulse agile waveform

Abstract

The present invention provides a pulse compression method and device for an intra-pulse and inter-pulse joint agile waveform, the method comprising: obtaining an intra-pulse and inter-pulse joint agile signal and a corresponding echo signal emitted by a frequency agile radar; performing pulse compression processing on the intra-pulse and inter-pulse joint agile signal and the echo signal respectively to obtain a corresponding pulse compression result; based on the compressed sensing theory, constructing a dictionary matrix according to the pulse compression result of the intra-pulse and inter-pulse joint agile signal, and constructing an observation vector according to the pulse compression result of the echo signal; based on the observation vector and the dictionary matrix, reconstructing a sparse coefficient vector to update the pulse compression result of the echo signal. The method can reduce the peak sidelobe, and reduce the false alarm probability while achieving a higher detection probability.

Description

Technical Field

[0001] The present invention relates to the field of radar signal processing technology, and in particular to a pulse compression method and device for an intra-pulse and inter-pulse combined agile waveform. Background Art

[0002] With the continuous development of Digital Radio Frequency Memory (DRFM), intermittent sampling and forwarding interference has gradually become the main type of interference in the modern electronic battlefield, which has the advantages of both deception and suppression interference.

[0003] Traditional Doppler radar (PD) can no longer effectively counteract this interference. In comparison, the intra-pulse-inter-pulse joint agile waveform has the following advantages: (1) Active anti-interference capability: The waveform inter-pulse agility, i.e., carrier frequency hopping, can increase the difficulty of identifying and sorting the jammer. At the same time, the intra-pulse agility, i.e., frequency-coded waveform, can effectively reduce the time-frequency coverage of intermittent sampling forwarding interference, making it more likely to retain the original signal; (2) Higher distance resolution and Doppler resolution: Compared with the traditional intra-pulse-inter-pulse unmodulated waveform, the fuzzy function of the intra-pulse-inter-pulse joint agile waveform has an ideal "thumbnail" shape, with high distance and Doppler resolution.

[0004] However, in the subsequent radar signal processing, the intra-pulse and inter-pulse joint agile waveform has a high peak sidelobe problem, which can easily cause missed detection or false alarm. Summary of the invention

[0005] In order to solve the above problems existing in the prior art, the present invention provides a pulse compression method and device with an intra-pulse and inter-pulse combined agile waveform. Specifically, it includes:

[0006] In a first aspect, the present invention provides a pulse compression method of an intra-pulse and inter-pulse combined agile waveform, comprising:

[0007] Acquire the intra-pulse and inter-pulse joint agile signals and corresponding echo signals emitted by the frequency agile radar;

[0008] Performing pulse compression processing on the intra-pulse and inter-pulse joint agility signal and the echo signal respectively to obtain corresponding pulse compression results;

[0009] Based on the compressed sensing theory, a dictionary matrix is ​​constructed according to the pulse compression results of the intra-pulse and inter-pulse joint agile signal, and an observation vector is constructed according to the pulse compression results of the echo signal.

[0010] Based on the observation vector and the dictionary matrix, the sparse coefficient vector is reconstructed to update the pulse compression result of the echo signal.

[0011] In a second aspect, the present invention further provides a pulse compression device with an intra-pulse and inter-pulse combined agile waveform, comprising:

[0012] An acquisition module, used for acquiring an intra-pulse and inter-pulse joint agile signal and a corresponding echo signal emitted by a frequency agile radar;

[0013] A processing module, used for performing pulse compression processing on the intra-pulse and inter-pulse joint agility signal and the echo signal respectively to obtain corresponding pulse compression results;

[0014] The processing module is further used to construct a dictionary matrix according to the pulse compression result of the intra-pulse and inter-pulse joint agile signal based on the compressed sensing theory, and to construct an observation vector according to the pulse compression result of the echo signal;

[0015] The processing module is also used to reconstruct the sparse coefficient vector based on the observation vector and the dictionary matrix to update the pulse compression result of the echo signal.

[0016] In a third aspect, the present invention further provides an electronic device, comprising a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory communicate with each other via the communication bus;

[0017] Memory, used to store computer programs;

[0018] The processor is used to implement any method provided in the first aspect when executing a program stored in the memory.

[0019] In a fourth aspect, the present invention provides a computer-readable storage medium, in which a computer program is stored. When the computer program is executed by a processor, any one of the methods provided in the first aspect is implemented.

[0020] Beneficial effects of the present invention:

[0021] The pulse compression method and device of the intra-pulse and inter-pulse joint agile waveform provided by the present invention obtains the intra-pulse and inter-pulse joint agile signal and the corresponding echo signal emitted by the frequency agile radar, and performs pulse compression processing on the intra-pulse and inter-pulse joint agile signal and the echo signal respectively to obtain the corresponding pulse compression result. Further, based on the compressed sensing theory, a dictionary matrix is ​​constructed according to the pulse compression result of the intra-pulse and inter-pulse joint agile signal, and an observation vector is constructed according to the pulse compression result of the echo signal. Based on the observation vector and the dictionary matrix, a sparse coefficient vector is reconstructed to obtain the reconstructed pulse compression result. The reconstructed pulse compression result has a higher main-sidelobe ratio, which effectively reduces the sidelobe peak value, avoids the small and weak targets from being covered or being regarded as real targets to affect the radar target detection. The reconstructed pulse compression result is fully combined with the inter-pulse non-coherent processing, which can effectively improve the signal-to-noise ratio and is simple to implement, while achieving a higher detection probability and reducing the false alarm probability.

[0022] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] Figure 1 A schematic flow chart of a pulse compression method for intra-pulse and inter-pulse combined agile waveform provided by the present invention;

[0024] Figure 2 A waveform diagram of an echo signal provided by the present invention;

[0025] Figure 3 A waveform diagram of a pulse compression result of an intra-pulse and inter-pulse combined agile signal provided by the present invention;

[0026] Figure 4 A waveform diagram of a pulse compression result of an echo signal processed by a traditional method provided by the present invention;

[0027] Figure 5 A waveform diagram of a pulse compression result of an echo signal processed by the present invention provided by the present invention;

[0028] Figure 6 A waveform diagram of a pulse compression result of a complete echo signal corresponding to the present invention provided by the present invention;

[0029] Figure 7 A schematic diagram of the coherent accumulation results corresponding to a traditional method provided by the present invention;

[0030] Figure 8 A schematic diagram of a non-coherent accumulation result corresponding to the present invention provided by the present invention;

[0031] Fig. 9 A schematic structural diagram of a pulse compression device with an intra-pulse and inter-pulse combined agile waveform provided by the present invention. DETAILED DESCRIPTION

[0032] The present invention is further described in detail below with reference to specific embodiments, but the embodiments of the present invention are not limited thereto.

[0033] In the subsequent radar signal processing, the use of frequency coded waveforms in the pulse of the intra-pulse-inter-pulse joint agile waveform will cause the echo signal to have a relatively low main sidelobe after pulse compression through a matched filter, that is, a relatively high peak sidelobe, which may mask weak targets or be regarded as real targets, affecting subsequent radar target detection, resulting in missed detection or false alarms. To solve this problem, the present invention provides a pulse compression method for an intra-pulse-inter-pulse joint agile waveform, which can be based on compressed sensing theory, by sparsely reconstructing the pulse compression result of the echo, to obtain a reconstructed pulse compression result, thereby effectively reducing the peak sidelobe.

[0034] Figure 1 A flow chart of a pulse compression method for a pulse-to-pulse agile waveform provided by the present invention is shown in FIG. Figure 1 As shown, the method includes:

[0035] S101. Acquire an intra-pulse and inter-pulse joint agile signal and a corresponding echo signal emitted by a frequency agile radar.

[0036] In practical applications, after the frequency agile radar transmits the intra-pulse and inter-pulse joint agile signal, the radar captures the echo signal reflected by the target and obtains the required echo signal through data processing such as mixing and filtering.

[0037] The joint agile signal emitted by the radar is a linear frequency modulation (LFM) radar waveform with sequential frequency stepping between pulses and frequency coding within pulses. In a possible implementation, the expression of the joint agile signal within and between pulses is:

[0038] ,

[0039] in, represents the combined intra-pulse and inter-pulse agility signal, Indicates the timing, Indicates the pulse number index, , Indicates the number of pulses transmitted by the radar in one processing interval. represents the pulse repetition period, represents the exponential function, Indicates plural, Indicates the pulse hopping interval, represents the baseband waveform transmitted by the radar,

[0040] ,

[0041] ,

[0042] represents the index of the sub-pulse, represents the total number of sub-pulses in a pulse, represents a linear frequency modulation waveform, represents the sub-pulse width, represents the frequency modulation slope, Indicates The frequency coding number corresponding to each sub-pulse is Indicates the frequency step length of the frequency-encoded waveform, Represents a rectangular window function.

[0043] The present invention adopts the intra-pulse and inter-pulse joint agility waveform. Compared with the traditional linear frequency modulation or single agility waveform, the joint agility waveform has a near-sighted "thumbnail" type fuzzy function, with high distance resolution and Doppler resolution. At the same time, based on the intra-pulse and inter-pulse joint agility, the waveform has excellent active anti-interference ability and low interception and other excellent characteristics.

[0044] In the radar observation scene, there may be multiple targets. The simulated waveform of the echo signal of multiple targets corresponding to the radar is as follows: Figure 2 As shown, the figure contains echo signals of three targets, but due to the low signal-to-noise ratio and overlapping signal echoes, it is impossible to directly distinguish several target echoes.

[0045] S102, performing pulse compression processing on the intra-pulse and inter-pulse joint agility signal and the echo signal respectively to obtain corresponding pulse compression results.

[0046] In a possible implementation, pulse compression processing is performed on the intra-pulse and inter-pulse joint agility signal to obtain a corresponding pulse compression result, including:

[0047] Taking the intra-pulse and inter-pulse joint agile signal as the reference signal, the intra-pulse and inter-pulse joint agile signal is pulse compressed to obtain the corresponding pulse compression result, which is expressed as:

[0048] ,

[0049] ,

[0050] in, represents the pulse compression result of the intra-pulse and inter-pulse joint agility signal, represents the impulse response of the matched filter, represents the combined intra-pulse and inter-pulse agility signal, Indicates the timing, Denotes convolution calculation, superscript represents the conjugate operation, That is The conjugate reflection signal.

[0051] For example, the pulse compression results of the intra-pulse and inter-pulse combined agility signal can be found in Figure 3 It can be seen that without any processing and without any noise, the pulse compression result of the transmitted signal, i.e., the intra-pulse and inter-pulse combined agile signal, has a higher sidelobe peak.

[0052] In a possible implementation, pulse compression processing is performed on the echo signal to obtain a corresponding pulse compression result, including:

[0053] Taking the intra-pulse and inter-pulse joint agility signal as the reference signal, the echo signal is pulse compressed to obtain the corresponding pulse compression result, which is expressed as:

[0054] ,

[0055] ,

[0056] in, represents the pulse compression result of the echo signal, represents the impulse response of the matched filter, Represents the echo signal, Indicates the timing, represents the convolution calculation, That is The conjugate reflection signal of Represents the combined intra-pulse and inter-pulse agility signal.

[0057] S103. Based on the compressed sensing theory, a dictionary matrix is ​​constructed according to the pulse compression results of the intra-pulse and inter-pulse joint agile signal, and an observation vector is constructed according to the pulse compression results of the echo signal.

[0058] In general radar observation scenarios, there are only a finite number of scattering point targets, that is, after the echo is pulse compressed, there are only a finite number of strong amplitude responses, which meets the prior requirement of sparsity. In one possible implementation, the observation vector is expressed as:

[0059] ,

[0060] in, represents the observation vector, Indicates the pulse compression result of the echo signal;

[0061] The dictionary matrix is ​​represented as:

[0062] ,

[0063] in, represents the dictionary matrix, It represents the modulus value of the pulse compression result of the combined agile signal within and between pulses.

[0064] S104. Reconstruct the sparse coefficient vector based on the observation vector and the dictionary matrix to update the pulse compression result of the echo signal.

[0065] Figure 5 A schematic diagram of a pulse compression result of an echo signal processed by the present invention is provided for the present invention. It can be clearly seen that the echo signal contains three target echoes, and the main-sidelobe ratio is as high as 27.80dB, which effectively suppresses the sidelobe peak.

[0066] It is not difficult to see that the pulse compression result obtained by the present invention based on the sparse recovery technology has a very high main-to-sidelobe ratio, that is, the sidelobe peak value is very low, compared with the traditional pulse compression result.

[0067] In one possible implementation, the sparse coefficient vector is reconstructed based on the observation vector and the dictionary matrix, which is expressed as:

[0068] ,

[0069] ,

[0070] in, represents a sparse coefficient vector, represents the zero norm of the sparse coefficient vector, Represents the zero norm of the sparse coefficient vector The minimum value of represents the observation vector, represents the pulse compression result of the echo signal, represents the dictionary matrix, Indicates the timing, Represents a constraint.

[0071] Optionally, reconstructing a sparse coefficient vector based on the observation vector and the dictionary matrix includes: determining multiple sub-observation vectors corresponding to the observation vector according to a preset selection rule; reconstructing the corresponding sparse coefficient vector according to each sub-observation vector and the dictionary matrix based on an orthogonal matching pursuit (OMP) algorithm to update the pulse compression result of the echo signal.

[0072] The present invention completes pulse compression by using the OMP algorithm. Compared with other recovery algorithms, the OMP algorithm has higher calculation efficiency and is relatively simple to implement. It is also adaptive and can efficiently calculate sparse recovery results.

[0073] Specifically, according to a preset selection rule, a plurality of sub-observation vectors corresponding to the observation vector are determined, including: taking data in the observation vector in order along the distance dimension in units of rows or columns as sub-observation vectors.

[0074] Preferably, for any first sub-observation vector among the multiple sub-observation vectors, based on the OMP algorithm, reconstructing the corresponding sparse coefficient vector according to the first sub-observation vector and the dictionary matrix includes the following steps A1-A5:

[0075] A1. Initialize the error margin of the OMP algorithm to the first sub-observation vector.

[0076] Optionally, initialize the position index set and iteration count.

[0077] For example, the number of iterations is initialized to 1 and the position index set is initialized to an empty set. .

[0078] A2. Determine the correlation matrix of the error margin and each column of the dictionary matrix, expressed as:

[0079] ,

[0080] in, represents the correlation matrix, Represents the dictionary matrix, the superscript represents the Hermilte transform of the matrix, Indicates The error margin calculated by the iteration is Indicates the number of iterations.

[0081] A3. Determine the position of the element with the largest value in each correlation matrix, and update the atom set according to the position of the largest element.

[0082] Optionally, it also includes updating the location index set according to the location information.

[0083] A4. Based on the least squares method, the first sparse coefficient vector is determined according to the dictionary matrix and the first sub-observation vector, which is expressed as:

[0084] ,

[0085] ,

[0086] ,

[0087] in, represents a sparse coefficient vector, represents the dictionary matrix, represents the first sub-observation vector, represents transpose, Express Find the partial derivative.

[0088] A5. Add 1 to the current number of iterations and compare it with the preset total number of iterations. If it is less than , update the error margin according to the first sub-observation vector, the first sparse coefficient vector and the updated atomic set, and return to execute A2. Otherwise, determine the first sparse coefficient vector as the corresponding reconstructed sparse coefficient vector.

[0089] Exemplarily, the error margin is updated according to the first sub-observation vector, the first sparse coefficient vector and the updated atomic set, which is expressed as:

[0090] ,

[0091] in, Indicates The error margin of the round iteration, Indicates The set of atoms to be iterated. Indicates The sparse coefficient vector for the round iteration.

[0092] The pulse compression method of the intra-pulse and inter-pulse joint agile waveform provided by the present invention obtains the intra-pulse and inter-pulse joint agile signal and the corresponding echo signal emitted by the frequency agile radar, and performs pulse compression processing on the intra-pulse and inter-pulse joint agile signal and the echo signal respectively to obtain corresponding pulse compression results; further, based on the compressed sensing theory, a dictionary matrix is ​​constructed according to the pulse compression result of the intra-pulse and inter-pulse joint agile signal, and an observation vector is constructed according to the pulse compression result of the echo signal, and a sparse coefficient vector is reconstructed based on the observation vector and the dictionary matrix, and then, a reconstructed pulse compression result is obtained. The reconstructed pulse compression result has a high main-sidelobe ratio, which effectively reduces the sidelobe peak value, avoids the small and weak targets being covered or being regarded as real targets to affect the radar target detection, and at the same time, the reconstructed pulse compression result can be combined with the inter-pulse non-coherent processing to effectively suppress the influence of phase instability, improve the signal-to-noise ratio, and reduce the false alarm probability while achieving a higher detection probability.

[0093] To further demonstrate the beneficial effects of the present invention, the present invention also provides a set of simulation experiment data.

[0094] 1. Simulation conditions:

[0095] Input pulse width 20us, signal bandwidth 40MHz, sampling frequency 100MHz, number of sub-pulses 10, 1~10 random frequency coding, sub-pulse width 2us, sub-pulse bandwidth 4MHz, pulse repetition period 80us, pulse frequency hopping interval 40 MHz, pulse number set to 32 pulses, generate radar transmission signal according to the above parameters, that is, the intra-pulse and inter-pulse joint agile signal transmitted by the frequency agile radar. Perform pulse compression processing on the transmission signal and the echo signal respectively, and set the maximum number of iterations of the OMP algorithm to 50 times.

[0096] 2. Simulation content:

[0097] By using the pulse compression method of the above-mentioned intra-pulse and inter-pulse combined agile waveform, the sidelobe peak is significantly reduced and the peak-to-sidelobe ratio is significantly improved. It can be seen that Figure 4 This is the pulse compression result of the echo signal after processing based on the traditional method. As shown in the figure, the pulse compression result of the echo signal can intuitively show that there are three targets, but the highest sidelobe peak can reach -12.64dB, which will affect the radar's detection and tracking of targets in practical applications. Figure 5This is the compression result of the echo signal after being processed by the method provided by the present invention. It can be clearly seen that the echo signal contains three target echoes, and the main-sidelobe ratio is as high as 27.80dB, which effectively suppresses the sidelobe peak. Figure 4 and Figure 5 It can be seen intuitively that the main-sidelobe ratio increased from 12.64dB to 27.80dB, an increase of about 15dB, and the sidelobe mean is generally flat. At the same time, it can be seen from the comparison chart that the target position reconstructed by the pulse compression method of the intra-pulse and inter-pulse combined agile waveform provided by the present invention is consistent with the target position of the traditional pulse compression, that is, the target distance is accurately reconstructed, which can prove the correctness of the simulation. This experiment sets three targets, whose distribution distances are 6000m, 6300m, and 8000m respectively, and their speeds are equal and all move at a uniform speed. Figure 6 A waveform diagram of a pulse compression result of a complete echo signal corresponding to the present invention provided by the present invention is shown in FIG. Figure 7 It can be seen that all three targets are accurately reconstructed; after the targets are reconstructed based on compressed sensing, the non-coherent accumulation method is used to simplify the design and implementation of the system, while overcoming the problems caused by phase instability and phase jitter. By simply superimposing the energy of the pulse signal, the influence of phase instability can be effectively suppressed, and the signal-to-noise ratio of the target can be improved, thereby improving the target detection performance of the radar. Figure 7 and Figure 8 They are respectively the coherent accumulation result diagram of the traditional pulse compression result and the non-coherent accumulation diagram of the pulse compression result corresponding to the method provided by the present invention. It can be seen from the figure that after accumulation, the target peak sidelobe ratio can reach 32.53dB, which is about 19dB higher than the traditional method, and can significantly improve the target detection capability of the radar.

[0098] Fig. 9 A schematic diagram of the structure of a pulse compression device with a combined intra-pulse and inter-pulse agile waveform provided by the present invention, such as Fig. 9 As shown, the device comprises:

[0099] The acquisition module 91 is used to acquire the intra-pulse and inter-pulse joint agile signal and the corresponding echo signal emitted by the frequency agile radar.

[0100] The processing module 92 is used to perform pulse compression processing on the intra-pulse and inter-pulse joint agility signal and the echo signal respectively to obtain corresponding pulse compression results.

[0101] The processing module 92 is further used to construct a dictionary matrix according to the pulse compression result of the intra-pulse and inter-pulse joint agile signal based on the compressed sensing theory, and to construct an observation vector according to the pulse compression result of the echo signal.

[0102] The processing module 92 is further used to reconstruct the sparse coefficient vector based on the observation vector and the dictionary matrix to update the pulse compression result of the echo signal.

[0103] The present invention also provides an electronic device, including a processor, a communication interface, a memory and a communication bus, wherein the processor, the communication interface and the memory communicate with each other via the communication bus.

[0104] Memory, used to store computer programs;

[0105] The processor is used to implement the steps provided in the above method embodiment when executing the program stored in the memory.

[0106] The communication interface is used for communication between the above electronic device and other devices.

[0107] The method provided in the embodiment of the present invention can be applied to electronic devices. Specifically, the electronic device can be: a desktop computer, a portable computer, an intelligent mobile terminal, a server, etc. This is not limited here, and any electronic device that can implement the present invention belongs to the protection scope of the present invention.

[0108] The present invention also provides a computer-readable storage medium, in which a computer program is stored. When the computer program is executed by a processor, the steps provided in the above method embodiment are implemented.

[0109] As for the device / electronic device / storage medium embodiment, since it is basically similar to the method embodiment, the description is relatively simple, and the specific content and beneficial effects and other related matters can be referred to the partial description of the method embodiment.

[0110] The terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, a feature defined as "first" or "second" may explicitly or implicitly include one or more of the features. In the description of the present invention, the meaning of "plurality" is two or more, unless otherwise clearly and specifically defined.

[0111] The above contents are further detailed descriptions of the present invention in combination with specific preferred embodiments, and it cannot be determined that the specific implementation of the present invention is limited to these descriptions. For ordinary technicians in the technical field to which the present invention belongs, several simple deductions or substitutions can be made without departing from the concept of the present invention, which should be regarded as falling within the protection scope of the present invention.

Claims

1. A pulse compression method for intra-pulse and inter-pulse combined agile waveforms, characterized in that: include: Acquire the intra-pulse and inter-pulse joint agile signals and corresponding echo signals emitted by the frequency agile radar; performing pulse compression processing on the intra-pulse and inter-pulse combined agility signal and the echo signal respectively to obtain corresponding pulse compression results; Based on the compressed sensing theory, a dictionary matrix is ​​constructed according to the pulse compression result of the intra-pulse and inter-pulse joint agile signal, and an observation vector is constructed according to the pulse compression result of the echo signal; Reconstructing a sparse coefficient vector based on the observation vector and the dictionary matrix to update the pulse compression result of the echo signal; The sparse coefficient vector is reconstructed based on the observation vector and the dictionary matrix, which is expressed as: ， ， in, represents a sparse coefficient vector, represents the zero norm of the sparse coefficient vector, Represents the zero norm of the sparse coefficient vector The minimum value of represents the observation vector, represents the pulse compression result of the echo signal, represents the dictionary matrix, Indicates the timing, Represents a constraint.

2. The method according to claim 1, characterized in that The step of reconstructing a sparse coefficient vector based on the observation vector and the dictionary matrix includes: Determine a plurality of sub-observation vectors corresponding to the observation vector according to a preset selection rule; Based on the OMP algorithm, the corresponding sparse coefficient vector is reconstructed according to each of the sub-observation vectors and the dictionary matrix to update the pulse compression result of the echo signal.

3. The method according to claim 2, characterized in that For any first sub-observation vector among the multiple sub-observation vectors, based on the OMP algorithm, reconstructing a corresponding sparse coefficient vector according to the first sub-observation vector and the dictionary matrix, including: S41, initializing the error margin of the OMP algorithm to the first sub-observation vector; S42, determining the correlation matrix between the error margin and each column of the dictionary matrix, expressed as: ， in, represents the correlation matrix, Represents the dictionary matrix, the superscript represents the Hermilte transform of the matrix, Indicates The error margin calculated by the iteration is Indicates the number of iterations; S43, determining the position of the element with the largest value in each of the correlation matrices, and updating the atom set according to the position; S44, based on the least squares method, determine a first sparse coefficient vector according to the dictionary matrix and the first sub-observation vector, expressed as: ， ， ， in, represents a sparse coefficient vector, represents the dictionary matrix, represents the first sub-observation vector, represents transpose, Express Find partial derivatives; S45, add 1 to the current number of iterations and compare it with the preset total number of iterations. If it is less than, update the error margin according to the first sub-observation vector, the first sparse coefficient vector and the updated atomic set, and return to execute S42; otherwise, determine the first sparse coefficient vector as the corresponding reconstructed sparse coefficient vector.

4. The method according to any one of claims 1 to 3, characterized in that: Performing pulse compression processing on the intra-pulse and inter-pulse joint agility signal to obtain a corresponding pulse compression result includes: Taking the intra-pulse and inter-pulse combined agile signal as a reference signal, pulse compression processing is performed on the intra-pulse and inter-pulse combined agile signal to obtain a corresponding pulse compression result, which is expressed as: ， ， in, represents the pulse compression result of the intra-pulse and inter-pulse joint agility signal, represents the impulse response of the matched filter, represents the combined intra-pulse and inter-pulse agility signal, Indicates the timing, Denotes convolution calculation, superscript Represents the conjugate operation.

5. The method according to any one of claims 1 to 3, characterized in that: Performing pulse compression processing on the echo signal to obtain a corresponding pulse compression result includes: The intra-pulse and inter-pulse joint agility signal is used as a reference signal to perform pulse compression processing on the echo signal to obtain a corresponding pulse compression result, which is expressed as: ， ， in, represents the pulse compression result of the echo signal, represents the impulse response of the matched filter, Represents the echo signal, Indicates the timing, Denotes convolution calculation, superscript represents the conjugate operation, Represents the combined intra-pulse and inter-pulse agility signal.

6. The method according to any one of claims 1 to 3, characterized in that: The expression of the intra-pulse and inter-pulse combined agility signal is: ， in, represents the combined intra-pulse and inter-pulse agility signal, Indicates the timing, Indicates the pulse number index, Indicates the number of pulses transmitted by the radar in one processing interval. represents the pulse repetition period, represents the exponential function, Indicates plural, Indicates the pulse hopping interval, represents the baseband waveform transmitted by the radar, ， ， represents the index of the sub-pulse, represents the total number of sub-pulses in a pulse, represents a linear frequency modulation waveform, represents the sub-pulse width, represents the frequency modulation slope, Indicates The frequency coding number corresponding to each sub-pulse is Indicates the frequency step length of the frequency-encoded waveform, Represents a rectangular window function.

7. The method according to any one of claims 1 to 3, characterized in that: The observation vector is expressed as: ， in, represents the observation vector, Indicates the pulse compression result of the echo signal; The dictionary matrix is ​​expressed as: ， in, represents the dictionary matrix, It represents the modulus value of the pulse compression result of the joint agile signal between pulses within the transmitted signal.

8. The method according to claim 2, characterized in that: The step of determining a plurality of sub-observation vectors corresponding to the observation vector according to a preset selection rule includes: The data in the observation vector are sequentially taken out along the distance dimension in units of rows or columns as sub-observation vectors.

9. A pulse compression device with a combined intra-pulse and inter-pulse agile waveform, characterized in that: include: An acquisition module, used for acquiring an intra-pulse and inter-pulse joint agile signal and a corresponding echo signal emitted by a frequency agile radar; A processing module, used for performing pulse compression processing on the intra-pulse and inter-pulse joint agility signal and the echo signal respectively to obtain corresponding pulse compression results; The processing module is further used to construct a dictionary matrix according to the pulse compression result of the intra-pulse and inter-pulse joint agility signal based on the compressed sensing theory, and to construct an observation vector according to the pulse compression result of the echo signal; The processing module is further used to reconstruct a sparse coefficient vector based on the observation vector and the dictionary matrix to update the pulse compression result of the echo signal; The sparse coefficient vector is reconstructed based on the observation vector and the dictionary matrix, which is expressed as: ， ， in, represents a sparse coefficient vector, represents the zero norm of the sparse coefficient vector, Represents the zero norm of the sparse coefficient vector The minimum value of represents the observation vector, represents the pulse compression result of the echo signal, represents the dictionary matrix, Indicates the timing, Represents a constraint.

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