A high-speed target detection method based on FRDTP-MSCFT

Abstract

The application provides a high-speed target detection method based on FRDTP-MSCFT, which realizes target detection by combining correlation transformation, improved DFT transformation and new DT transformation, and in the realization process, the application does not depend on parameter search to estimate new methods of unambiguous velocity and acceleration information, compared with traditional RFT methods, greatly reduces the calculation burden caused by signal processing, and improves the detection efficiency. In addition, the application is suitable for high-speed target scenes, and in the background of blind speed generated by high-speed target motion, target detection can be completed without prior Doppler folding factor information, and in the whole processing process, the parameter information of the to-be-detected moving target is also reserved, compared with the traditional method, the processing condition is reduced, and the applicability of target detection is improved.

Description

Technical Field

[0001] The present invention relates to the technical field of target detection, and in particular to a high-speed target detection method based on FRDTP-MSCFT. Background Art

[0002] In the field of radar detection, the development of stealth technology and high-speed aircraft has posed significant challenges to radar target detection. Long-term accumulation technology is one of the most important methods for improving radar's ability to detect weakly maneuvering targets. However, during the accumulation period, the range migration (RM) and Doppler frequency migration (DFM) caused by the target's high-speed motion can significantly impact long-term accumulation performance. Reducing or even eliminating the effects of RM and DFM through signal processing would not only reduce resource consumption but also significantly improve radar target detection and monitoring.

[0003] Scholars have extensively researched long-term accumulation techniques and proposed numerous feasible solutions to the RM and DFM problems. For uniform-speed targets, considering the LRM (Liner Range Migration) problem caused by velocity, methods such as RFT, AR-MTD, MLRT, and HT have emerged. These methods utilize a search-based integral approach to achieve energy accumulation. When the search parameters match the actual parameters, the integral is maximized, resulting in a significant computational burden. Building on this principle, non-search-based methods such as Keystone and RVDT have emerged to improve target detection efficiency. Unlike search-based methods, these methods eliminate the LRM problem through interpolation or correlation operations, thereby reducing computational costs. However, these methods only address the LRM problem caused by velocity. When the target's motion transitions from a simple uniform velocity to more complex conditions such as uniformly variable velocity or variable acceleration, addressing only the LRM problem is insufficient. The RC (Range Curvature) problem caused by acceleration in the range domain and the DFM problem in the Doppler domain must also be considered.

[0004] The solution to the RC and DFM problems caused by acceleration is similar to that of LRM, and is also divided into search-based and non-search-based methods. Among the search-based methods, various methods based on FRFT, GRFT, and LV distribution have been proposed, such as RFRFT and RLVD. This type of method eliminates the RM and DFM problems by searching for parameters, but the huge amount of computation is daunting. To reduce the computational complexity, methods such as KT-TRT and KTFM have emerged, but the results are still unsatisfactory. Considering the huge computational complexity of search-based algorithms, some non-parametric search methods have also been proposed, the classics of which are SAF-SFT and MRFRP-ITST. Among them, the MRFRP-ITDT method is a detection method for maneuvering targets proposed by WAN.J in 2023. This method achieves target detection by combining SKT, correlation transform, and an improved DFT method. This method is simple to operate and easy to implement, and improves the detection performance of PD radar, but this method also has some problems. For maneuvering targets that generate blind speed, this method requires prior Doppler folding factor information. Otherwise, the SKT method cannot eliminate the RC problem caused by acceleration. In the final target detection, the related operations involved in this method will also lose the target's acceleration information. Therefore, in some specific situations, this method may not be applicable.

[0005] In order to solve the RM and DFM problems, a new detection method for maneuvering targets needs to be proposed based on the defects shown by MRFRP-ITST. Summary of the Invention

[0006] The present invention provides a high-speed target detection method based on FRDTP-MSCFT, which is used to solve the defects of RM and DFM that occur in the long-term accumulation process of pulse Doppler radar in the prior art.

[0007] In a first aspect, the present invention provides a high-speed target detection method based on FRDTP-MSCFT, comprising:

[0008] receiving an echo signal of a target to be measured, and preprocessing the echo signal to obtain a pulse compression echo signal;

[0009] Performing Fourier transform on the pulse compression echo signal along a fast time dimension to obtain a frequency domain echo signal, performing a frequency inversion and time-symmetric delay operation on the frequency domain echo signal along a slow time dimension to obtain a time-delay signal, and performing energy accumulation on the time-delay signal along a fast time dimension to obtain an energy accumulation signal;

[0010] Performing a first combined improved scale Fourier transform on the energy accumulation signal in the slow time dimension to obtain a first transformed signal, performing an inverse Fourier transform on the first transformed signal along the time delay variable dimension and then performing a two-dimensional Fourier transform to obtain acceleration information of the target to be measured;

[0011] Constructing a compensation function based on the acceleration information to obtain a compensation signal, and performing a frequency domain transformation on the compensation signal based on a fast time frequency domain to obtain a frequency domain transformation signal;

[0012] Performing a second combined improved scale Fourier transform on the frequency domain transform signal in a slow time dimension to obtain a second transform signal;

[0013] The second transformed signal is subjected to inverse Fourier transform and Fourier transform along the fast time frequency domain and the slow time dimension respectively, and then the signal energy is accumulated, and the speed and distance information of the target to be measured are obtained from the accumulated peak values.

[0014] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, the echo signal is preprocessed to obtain a pulse compression echo signal, including:

[0015]

[0016] in, is the pulse compression echo signal, t m For slow time, is the fast time, R(t m ) is the radial distance of the target to be measured from the radar during the accumulation period, and R(t m )satisfy R0, v, a are the initial radial distance, radial velocity and radial acceleration of the target to be measured, λ, c are the wavelength and speed of light, and T is the pulse duration;

[0017] The fast time dimension and the slow time dimension represent the intra-pulse dimension and the inter-pulse dimension of the echo matrix of the echo signal, respectively.

[0018] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, the pulse compression echo signal is subjected to Fourier transform along the fast time dimension to obtain a frequency domain echo signal, comprising:

[0019] S FR (t m ,f)=S(t m ,f)S(t m ,-f)

[0020] Among them, t m is the slow time, f is the frequency, S FR (t m,f) is the frequency domain echo signal.

[0021] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, a frequency-domain echo signal is subjected to a frequency-inversion delay time symmetry operation along a slow time dimension to obtain a time-delay signal, comprising:

[0022] S DT (t m ,f,τ)=S(t m +τ,f)S(t m -τ,f) *

[0023] Among them, S DT (t m ,f,τ) is the time delay signal, t m is the slow time, f is the frequency, τ is the delay variable, and the range is τ=t m =mT p , m=-N s / 2, -N s / 2+1,…N s / 2-1 is the time index corresponding to the slow time, N s is the cumulative number of pulses, T p is the pulse repetition period, and * is the complex conjugate operation.

[0024] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, performing a first combined improved scaled Fourier transform on the energy accumulation signal in a slow time dimension to obtain a first transformed signal, comprising:

[0025]

[0026] Among them, l b , l τ They are f b and f τ The frequency domain index, f b and f τ are the new slow time b m The frequency domain corresponding to the delay variable τ, Δf b and Δf τ They are f b and f τ Discrete frequency unit, l τ =(-N s / 2,-N s / 2+1,…,0,…,N s / 2-1,N s / 2-1), N s is the number of accumulated pulses, ξ1 is the first scaling factor, and ξ1t mτ=λb m , the value range is a max With f bmax are the maximum measurable acceleration and the maximum value of the new slow time frequency domain range, m=-N s / 2, -N s / 2+1,…N s / 2-1 is the time index corresponding to slow time.

[0027] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, a compensation function is constructed based on acceleration information to obtain a compensation signal, including:

[0028] The compensation function is:

[0029]

[0030] in, is the acceleration detection value, f c is the carrier frequency, t m is the slow time, f is the frequency, is the compensation function;

[0031] The compensation signal is:

[0032]

[0033] Wherein, A2 is the compensated signal amplitude, B is the bandwidth, R0 is the initial radial distance of the target to be measured, and v is the radial velocity of the target to be measured.

[0034] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, frequency domain transformation is performed on the compensation signal based on the fast time frequency domain to obtain a frequency domain transformed signal, including:

[0035] S MFR =S(t m ,f)S(t m ,-f) *

[0036] Among them, t m is the slow time, f is the frequency, and * is the complex conjugate operation.

[0037] According to a high-speed target detection method based on FRDTP-MSCFT provided by the present invention, the frequency domain transform signal is subjected to a second combined improved scale Fourier transform in a slow time dimension to obtain a second transform signal, comprising:

[0038]

[0039] in, for The frequency domain index of For slow time The frequency domain representation of yes The discrete frequency unit, k is the discrete index of the fast time frequency domain, N s is the cumulative number of pulses, ξ2 is the second scaling factor, satisfying The value range is v max and They are the maximum measurable velocity and the maximum value of the new slow time frequency domain range respectively.

[0040] In a second aspect, the present invention also provides an electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the high-speed target detection method based on FRDTP-MSCFT as described above is implemented.

[0041] In a third aspect, the present invention further provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements any of the above-described high-speed target detection methods based on FRDTP-MSCFT.

[0042] Compared with the prior art, the present invention has the following beneficial effects:

[0043] The present invention is a new method for estimating unambiguous velocity and acceleration information without relying on parameter search. Compared with traditional RFT-type methods, it greatly reduces the computational burden brought about by signal processing and improves detection efficiency.

[0044] The present invention is applicable to high-speed target scenarios. In the context of blind speed caused by high-speed target motion, target detection can be completed without prior Doppler folding factor information. During the entire processing process, parameter information of the moving target to be detected is also retained. Compared with the past, the processing condition restrictions are reduced and the applicability of target detection is improved.

[0045] The present invention is simple to implement and is only based on an improved DFT method. In specific implementation steps, methods such as FFT or Chirp-Z can be used. BRIEF DESCRIPTION OF THE DRAWINGS

[0046] In order to more clearly illustrate the technical solutions in the present invention or the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0047] Figure 1 This is one of the flow charts of the high-speed target detection method based on FRDTP-MSCFT provided by the present invention;

[0048] Figure 2 This is the second flow chart of the high-speed target detection method based on FRDTP-MSCFT provided by the present invention;

[0049] Figure 3 It is a structural schematic diagram of the electronic device provided by the present invention. DETAILED DESCRIPTION

[0050] To make the objectives, technical solutions, and advantages of the present invention more clear, the technical solutions of the present invention will be clearly and completely described below in conjunction with the accompanying drawings. Obviously, the embodiments described are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts shall fall within the scope of protection of the present invention.

[0051] To address the shortcomings of the existing technology, the present invention proposes a high-speed target detection method based on the Frequency Reversal Delay-Time Symmetric Process combined with Modified Scale Fourier Transform (FRDTP-MSCFT). This method achieves target detection by combining a correlation transform, an improved DFT transform, and a new DT transform. During implementation, since no prior Doppler folding factor information is required, the method is suitable for blind speed targets. Furthermore, the method retains all target parameter information during operation, so it can also be used in situations where acceleration information is required. This method is also a non-search method, which is of great significance in improving detection performance and reducing costs.

[0052] Figure 1 This is one of the flow charts of the high-speed target detection method based on FRDTP-MSCFT provided by an embodiment of the present invention, such as Figure 1 Shown, including:

[0053] Step 100: receiving an echo signal of a target to be measured, and preprocessing the echo signal to obtain a pulse compression echo signal;

[0054] Step 200: performing Fourier transform on the pulse compression echo signal along a fast time dimension to obtain a frequency domain echo signal, performing a frequency inversion and time-symmetric delay operation on the frequency domain echo signal along a slow time dimension to obtain a time-delay signal, and performing energy accumulation on the time-delay signal along a fast time dimension to obtain an energy accumulation signal;

[0055] Step 300: performing a first combined improved scale Fourier transform on the energy accumulation signal in the slow time dimension to obtain a first transformed signal, performing an inverse Fourier transform on the first transformed signal along the time delay variable dimension, and then performing a two-dimensional Fourier transform to obtain acceleration information of the target to be measured;

[0056] Step 400: constructing a compensation function based on acceleration information to obtain a compensation signal, and performing a frequency domain transformation on the compensation signal based on a fast time frequency domain to obtain a frequency domain transformation signal;

[0057] Step 500: performing a second combined improved scale Fourier transform on the frequency domain transformed signal in the slow time dimension to obtain a second transformed signal;

[0058] Step 600: Perform inverse Fourier transform and Fourier transform on the second transformed signal along the fast time frequency domain and the slow time dimension respectively, and then accumulate signal energy, and obtain the speed and distance information of the target to be measured from the accumulated peak values.

[0059] Specifically, if Figure 2 As shown, the technical solution of the embodiment of the present invention includes:

[0060] First, the radar parameters are determined, and a linear frequency modulation signal is transmitted. The radar echo signal is received at the receiver. After signal preprocessing, a matched filter is constructed and applied to the echo signal. This is achieved through either time-domain convolution or frequency-domain multiplication. Here, due to the properties of the Fourier transform, time-domain convolution is equivalent to frequency-domain multiplication. This means that pulse compression can be achieved in either the time or frequency domain.

[0061] Preprocess the echo signal to obtain the echo signal after pulse compression:

[0062]

[0063] in, is the pulse compression echo signal, t m For slow time, is the fast time, R(t m ) is the radial distance of the target to be measured from the radar during the accumulation period, and R(t m )satisfy R0, v, a are the initial radial distance, radial velocity and radial acceleration of the target to be measured, λ, c are the wavelength and speed of light, and T is the pulse duration;

[0064] The fast time dimension and the slow time dimension represent the intra-pulse dimension and the inter-pulse dimension of the echo matrix of the echo signal, respectively.

[0065] The specific method for implementing pulse compression is matched filtering, which performs time-domain convolution on the matched filter and the echo signal to obtain a pulse compressed signal. The form of the matched filter is the inverted conjugate form of the transmitted signal.

[0066] Optionally, the pulse compressed signal can be converted to the frequency domain by Fourier transform along the fast time dimension. The signal converted to the frequency domain is in the form of:

[0067]

[0068] Perform Fourier transform along the fast time dimension to convert the signal into the frequency domain, and perform a frequency domain-based correlation operation on the frequency domain signal. The form of the operation is:

[0069] S FR (t m ,f)=S(t m ,f)S(t m ,-f)

[0070] Among them, t m is the slow time, f is the frequency, S FR (t m ,f) is the frequency domain echo signal.

[0071] Afterwards, along the slow time t m Dimension, for t m Perform a delay operation, the delay is in the form of:

[0072] S DT (t m ,f,τ)=S(t m +τ,f)S(t m -τ,f) *

[0073] The “*” in the above formula represents the complex conjugate operation, and the delay range of the delay variable τ is τ=t m =mT p , m=-N s / 2, -N s / 2+1,…N s / 2-1 is the time index corresponding to the slow time, N s is the cumulative number of pulses, T p is the pulse repetition period. After this step, the signal will no longer contain fast time frequency domain information, so proceed to the next step.

[0074] The signal energy is further accumulated along the fast time-frequency dimension.

[0075] Next, for the slow time t m Perform the first MSCFT operation to reconstruct the signal, where MSCFT is a transform based on the improved DFT, which improves the range of parameter detection by introducing a scaling factor.

[0076] The first scaling factor in the first MSCFT operation satisfies ξ1t m τ=λb m The relationship is established by adjusting the value range of the scaling factor to detect unambiguous acceleration information. The value range of the scaling factor ξ1 should satisfy where a max With f bmax They are the maximum measurable acceleration and the maximum value of the new slow time frequency domain range respectively. The first MSCFT implementation is:

[0077]

[0078] Among them, l b , l τ They are f b and f τ The frequency domain index, f b and f τ are the new slow time b m The frequency domain corresponding to the delay variable τ, Δf b and Δf τ They are f b and f τ Discrete frequency unit, l τ =(-N s / 2,-N s / 2+1,…,0,…,N s / 2-1,N s / 2-1), N s is the cumulative number of pulses.

[0079] Perform inverse Fourier transform along the time delay variable τ dimension to convert the signal into the transform domain.

[0080] Perform two-dimensional Fourier transform on the processed signal to achieve energy accumulation and obtain the acceleration information of the target to be detected.

[0081] Based on the obtained acceleration information, a compensation function is constructed. The signal is converted to the frequency domain by Fourier transform along the fast time dimension. Phase compensation is performed on the signal in the frequency domain to eliminate the RC and DFM problems caused by acceleration. The form of the compensation function constructed based on the estimated acceleration information is:

[0082]

[0083] in, is the acceleration detection value, f c is the carrier frequency, t m is the slow time, f is the frequency, is the compensation function;

[0084] The signal form after compensation is:

[0085]

[0086] Wherein, A2 is the compensated signal amplitude, B is the bandwidth, R0 is the initial radial distance of the target to be measured, and v is the radial velocity of the target to be measured.

[0087] After solving the RC and DFM caused by acceleration, another fast-time frequency domain correlation operation is performed on the signal. The definition of this operation is:

[0088] S MFR =S(t m ,f)S(t m ,-f) *

[0089] The signal is transferred along the slow time t m The second MSCFT operation is performed on the slow time dimension to reconstruct the signal. After MSCFT, the new slow time dimension is inversely Fourier transformed. The parameter detection range is adjusted by adjusting the scaling factor. The second scaling factor involved satisfies The unambiguous speed and distance information of the target can be detected by adjusting the range of the scaling factor ξ2. The selection criteria of the scaling factor ξ2 should meet the following requirements: where v max and The second MSCFT is also a transformation based on the improved DFT method, and its implementation form is:

[0090]

[0091] in, for The frequency domain index of For slow time The frequency domain representation of yes The discrete frequency unit, k is the discrete index of the fast time frequency domain, N s is the cumulative number of pulses.

[0092] Finally, the signal energy is accumulated by performing inverse Fourier transform and Fourier transform on the fast-time frequency domain and slow-time dimension of the signal, and the speed and distance information of the target are obtained through the accumulated peak values.

[0093] Figure 3An example of a physical structure diagram of an electronic device is shown below. Figure 3 As shown, the electronic device may include: a processor 310, a communication interface 320, a memory 330 and a communication bus 340, wherein the processor 310, the communication interface 320 and the memory 330 communicate with each other via the communication bus 340. The processor 310 may call the logic instructions in the memory 330 to execute a high-speed target detection method based on FRDTP-MSCFT, the method comprising: receiving an echo signal of a target to be detected, pre-processing the echo signal to obtain a pulse compression echo signal; performing Fourier transform on the pulse compression echo signal along a fast time dimension to obtain a frequency domain echo signal, performing a frequency inversion and delay time symmetry operation on the frequency domain echo signal along a slow time dimension to obtain a time delay signal, performing energy accumulation on the time delay signal along the fast time dimension to obtain an energy accumulation signal; performing a first combined improved scale Fourier transform on the energy accumulation signal in the slow time dimension. The method comprises the following steps: performing a transformation to obtain a first transformation signal, performing an inverse Fourier transform on the first transformation signal along the time delay variable dimension, and then performing a two-dimensional Fourier transform on the first transformation signal to obtain acceleration information of the target to be measured; constructing a compensation function based on the acceleration information to obtain a compensation signal, and performing a frequency domain transform on the compensation signal based on the fast time frequency domain to obtain a frequency domain transformation signal; performing a second combined improved scale Fourier transform on the frequency domain transformation signal in the slow time dimension to obtain a second transformation signal; performing an inverse Fourier transform and a Fourier transform on the second transformation signal along the fast time frequency domain and the slow time dimension, respectively, and then accumulating signal energy, and obtaining speed and distance information of the target to be measured from the accumulated peak values.

[0094] In addition, the logic instructions in the above-mentioned memory 330 can be implemented in the form of a software functional unit and can be stored in a computer-readable storage medium when sold or used as an independent product. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or the part of the technical solution, can be embodied in the form of a software product. The computer software product is stored in a storage medium and includes several instructions for enabling a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: various media that can store program codes, such as a USB flash drive, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk or an optical disk.

[0095] On the other hand, the present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which is implemented by a processor to execute the high-speed target detection method based on FRDTP-MSCFT provided by the above methods, the method comprising: receiving an echo signal of a target to be detected, preprocessing the echo signal to obtain a pulse compression echo signal; performing Fourier transform on the pulse compression echo signal along a fast time dimension to obtain a frequency domain echo signal, performing a frequency inversion and delay time symmetry operation on the frequency domain echo signal along a slow time dimension to obtain a time delay signal, performing energy accumulation on the time delay signal along the fast time dimension to obtain an energy accumulation signal; performing Fourier transform on the energy in the slow time dimension to obtain a time delay signal; performing a frequency inversion and delay time symmetry operation on the frequency domain echo signal along the slow time dimension to obtain a time delay signal; performing energy accumulation on the energy in the slow time dimension to obtain an energy accumulation signal; performing a frequency inversion and delay time symmetry operation on the frequency domain echo signal along the fast time dimension to obtain an energy accumulation signal; performing a frequency inversion and delay time symmetry operation on the frequency domain echo signal along the slow ... The accumulated signal is subjected to a first combined improved scale Fourier transform to obtain a first transformed signal, the first transformed signal is subjected to an inverse Fourier transform along the time delay variable dimension and then a two-dimensional Fourier transform to obtain acceleration information of the target to be measured; a compensation function is constructed based on the acceleration information to obtain a compensation signal, and the compensation signal is subjected to a frequency domain transform based on the fast time frequency domain to obtain a frequency domain transformed signal; the frequency domain transformed signal is subjected to a second combined improved scale Fourier transform in the slow time dimension to obtain a second transformed signal; the second transformed signal is subjected to an inverse Fourier transform and a Fourier transform along the fast time frequency domain and slow time dimensions respectively, and then the signal energy is accumulated, and the speed and distance information of the target to be measured are obtained from the accumulated peak values.

[0096] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units, i.e., they may be located in one location or distributed across multiple network units. Some or all of the modules may be selected based on actual needs to achieve the objectives of the present embodiment. Persons of ordinary skill in the art will be able to understand and implement the present invention without inventive effort.

[0097] Through the description of the above embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus a necessary general hardware platform, or of course, by hardware. Based on this understanding, the essence of the above technical solution or the part that contributes to the existing technology can be embodied in the form of a software product. The computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, a magnetic disk, an optical disk, etc., and includes a number of instructions for enabling a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in each embodiment or certain parts of the embodiments.

[0098] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the various embodiments of the present invention.

Claims

1. A high-speed target detection method based on FRDTP-MSCFT, characterized in that: include: receiving an echo signal of a target to be measured, and preprocessing the echo signal to obtain a pulse compression echo signal; Performing Fourier transform on the pulse compression echo signal along a fast time dimension to obtain a frequency domain echo signal, performing a frequency inversion and time-symmetric delay operation on the frequency domain echo signal along a slow time dimension to obtain a time-delay signal, and performing energy accumulation on the time-delay signal along a fast time dimension to obtain an energy accumulation signal; Performing a first combined improved scale Fourier transform on the energy accumulation signal in the slow time dimension to obtain a first transformed signal, performing an inverse Fourier transform on the first transformed signal along the time delay variable dimension and then performing a two-dimensional Fourier transform to obtain acceleration information of the target to be measured; Constructing a compensation function based on the acceleration information to obtain a compensation signal, and performing a frequency domain transformation on the compensation signal based on a fast time frequency domain to obtain a frequency domain transformation signal; Performing a second combined improved scale Fourier transform on the frequency domain transform signal in a slow time dimension to obtain a second transform signal; The second transformed signal is subjected to inverse Fourier transform and Fourier transform along the fast time frequency domain and the slow time dimension respectively, and then the signal energy is accumulated, and the speed and distance information of the target to be measured are obtained from the accumulated peak values.

2. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: Preprocessing the echo signal to obtain a pulse compression echo signal includes: in, is the pulse compression echo signal, t m For slow time, is the fast time, R(t m ) is the radial distance of the target to be measured from the radar during the accumulation period, and R(t m )satisfy R0, v, a are the initial radial distance, radial velocity and radial acceleration of the target to be measured, λ, c are the wavelength and speed of light, and T is the pulse duration; The fast time dimension and the slow time dimension represent the intra-pulse dimension and the inter-pulse dimension of the echo matrix of the echo signal, respectively.

3. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: Performing Fourier transform on the pulse compression echo signal along the fast time dimension to obtain a frequency domain echo signal, comprising: S FR (t m ,f)=S(t m ,f)S(t m ,-f) Among them, t m is the slow time, f is the frequency, S FR (t m ,f) is the frequency domain echo signal.

4. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: The frequency domain echo signal is subjected to a frequency inversion and time-symmetric delay operation along the slow time dimension to obtain a time-delay signal, including: S DT (t m ,f,τ)=S(t m +τ,f)S(t m -τ,f) * Among them, S DT (t m ,f,τ) is the time delay signal, t m is the slow time, f is the frequency, τ is the delay variable, and the range is τ=t m =mT p , m=-N s / 2, -N s / 2+1,…N s / 2-1 is the time index corresponding to the slow time, N s is the cumulative number of pulses, T p is the pulse repetition period, and * is the complex conjugate operation.

5. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: Performing a first combined improved scale Fourier transform on the energy accumulation signal in a slow time dimension to obtain a first transformed signal, comprising: Among them, l b , l τ They are f b and f τ The frequency domain index, f b and f τ are the new slow time b m The frequency domain corresponding to the delay variable τ, Δf b and Δf τ They are f b and f τ Discrete frequency unit, l τ =(-N s / 2,-N s / 2+1,…,0,…,N s / 2-1,N s / 2-1), N s is the number of accumulated pulses, ξ1 is the first scaling factor, and ξ1t m τ=λb m , the value range is a max With f bmax are the maximum measurable acceleration and the maximum value of the new slow time frequency domain range, m=-N s / 2, -N s / 2+1,…N s / 2-1 is the time index corresponding to slow time.

6. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: A compensation function is constructed based on the acceleration information to obtain a compensation signal, including: The compensation function is: in, is the acceleration detection value, f c is the carrier frequency, t m is the slow time, f is the frequency, is the compensation function; The compensated signal is: Among them, A2 is the signal amplitude after compensation, B is the bandwidth, R0 is the initial radial distance of the target to be measured, v is the radial velocity of the target to be measured.

7. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: Performing a frequency domain transformation on the compensation signal based on a fast time frequency domain to obtain a frequency domain transformed signal includes: S MFR =S(t m ,f)S(t m ,-f) * Among them, t m is the slow time, f is the frequency, and * is the complex conjugate operation.

8. The high-speed target detection method based on FRDTP-MSCFT according to claim 1, characterized in that: Performing a second combined improved scale Fourier transform on the frequency domain transform signal in a slow time dimension to obtain a second transform signal, comprising: in, for The frequency domain index of For slow time The frequency domain representation of yes The discrete frequency unit, k is the discrete index of the fast time frequency domain, N s is the cumulative number of pulses, ξ2 is the second scaling factor, satisfying The value range is v max and They are the maximum measurable velocity and the maximum value of the new slow time frequency domain range respectively.

9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the program, the high-speed target detection method based on FRDTP-MSCFT according to any one of claims 1 to 8 is implemented.

10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the high-speed target detection method based on FRDTP-MSCFT according to any one of claims 1 to 8 is implemented.

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