A radar waveform design method and device, computer equipment and storage medium
By constructing a radar echo optimization model and utilizing second-order cone programming and phase recovery algorithms, the radar transmission waveform is optimized, solving the problem that traditional radar waveform design methods struggle to balance weak target detection and precise tracking, thus achieving a comprehensive improvement in radar performance.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-01-09
- Publication Date
- 2026-03-31
AI Technical Summary
Traditional radar waveform design methods struggle to simultaneously meet the requirements of weak target detection and precise tracking, resulting in a tradeoff between detection and tracking performance.
By using the waveform energy and equivalent bandwidth of the echo signal as design variables, a radar echo optimization model is constructed. Then, the radar transmitted waveform is optimized using the second-order cone programming algorithm and the phase recovery algorithm to maximize the signal-to-clutter-to-noise ratio and achieve the discretization and approximation of the radar echo.
It improves the detection, identification, and tracking performance of radar, expands its application range, and enhances the cognitive efficiency of radar.
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Figure CN116047453B_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of radar detection technology, and in particular to a radar waveform design method, apparatus, computer equipment, and storage medium. Background Technology
[0002] With the development of radar detection technology, in order to facilitate the processing of the three core tasks of long-range target detection, tracking, and identification in complex environments, a modular and serial processing approach is usually adopted. Using waveforms as the carrier of radar information, current radar water-filled waveform design methods for weak target detection tasks can significantly improve the signal-to-clutter-to-noise ratio (SNR) of weak target echoes. However, the designed waveform has an excessively narrow equivalent bandwidth, which is detrimental to subsequent tracking processing tasks. Waveform design methods for precise radar target tracking tasks can better improve tracking accuracy in complex backgrounds, but this requires a large target echo SNR to ensure detection performance.
[0003] Currently, traditional radar waveform design often only considers a single task, such as radar weak target detection, radar target precision tracking, or radar target identification. However, in reality, the three major tasks of radar target detection, tracking, and identification are closely coupled and have mutual constraints. Traditional waveform design methods have the problem of not being able to take both of these into account. Summary of the Invention
[0004] Therefore, it is necessary to provide a radar waveform design method, device, computer equipment, and storage medium that can simultaneously consider the requirements of radar weak target detection and radar target precision tracking, in order to address the above-mentioned technical problems.
[0005] A radar waveform design method, the method comprising:
[0006] The echo signal-to-clutter ratio is determined based on the target echo signal from the radar receiver.
[0007] Using the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizing the echo signal-to-clutter ratio as the optimization objective, a radar echo optimization model is constructed.
[0008] The radar echo optimization model is discretized to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0009] The power spectrum of the transmitted waveform is synthesized by the phase recovery algorithm to obtain the optimized time-domain waveform of the radar.
[0010] In one embodiment, it further includes: when the operating bandwidth of the radar receiver is In this case, according to the radar's frequency response function Using Pascal's theorem, the echo signal-to-clutter ratio of the target echo signal in the frequency domain is calculated as follows:
[0011] ;
[0012] in, The frequency spectrum of the echo waveform. The power spectrum distribution of background clutter in radar operation. For the noise power spectrum distribution, The waveform energy of the echo signal. This is the waveform equivalent bandwidth of the echo signal.
[0013] In one embodiment, the present invention uses the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizes the echo signal-to-clutter ratio as the optimization objective, to construct a radar echo optimization model as follows:
[0014] ;
[0015] in, This represents the energy spectrum of the transmitted waveform from the radar transmitter.
[0016] In one embodiment, it further includes: optimizing the radar echo model... , , as well as Discretize and decompose to obtain the following results: Discrete complex vectors of dimension , , as well as The discrete optimization model is constructed based on discrete complex vectors as follows:
[0017] ;
[0018] In one embodiment, the method further includes: introducing a Tinkelbach efficiency factor using Tinkelbach's rule. Taking the discrete optimization model as the optimization objective, the approximate model of the discrete optimization model is expressed as:
[0019] ;
[0020] make , , , , , , , , , The second-order cone programming model is obtained, expressed as:
[0021] ;
[0022] In one embodiment, the method further includes: solving the second-order cone programming model using a second-order cone programming algorithm to obtain the power spectrum of the radar transmitter's transmitted waveform. Substitute the power spectrum of the transmitted waveform into the objective function. Error determination is performed to obtain the optimal transmitted waveform power spectrum of the radar echo optimization model.
[0023] In one embodiment, the method further includes: setting an error threshold of... ,when Then, the next Tinkelbach efficiency factor is introduced into the second-order cone programming model. The optimization iteration is performed to obtain the power spectrum of the next transmitted waveform, until when At that time, the optimal transmitted waveform power spectrum is obtained. .
[0024] A radar waveform design apparatus, the apparatus comprising:
[0025] The signal receiving module is used to determine the echo signal-to-clutter ratio based on the target echo signal from the radar receiver.
[0026] The echo waveform optimization module is used to construct a radar echo optimization model with the waveform energy and waveform equivalent bandwidth of the target echo signal as design variables and the goal of maximizing the echo signal-to-clutter ratio.
[0027] The echo waveform processing module is used to discretize the radar echo optimization model to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0028] The transmit waveform synthesis module synthesizes the transmit waveform power spectrum through a phase recovery algorithm to obtain the radar optimized time-domain waveform.
[0029] A computer device includes a memory and a processor, the memory storing a computer program, and the processor executing the computer program performing the following steps:
[0030] The echo signal-to-clutter ratio is determined based on the target echo signal from the radar receiver.
[0031] Using the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizing the echo signal-to-clutter ratio as the optimization objective, a radar echo optimization model is constructed.
[0032] The radar echo optimization model is discretized to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0033] The power spectrum of the transmitted waveform is synthesized by the phase recovery algorithm to obtain the optimized time-domain waveform of the radar.
[0034] A computer-readable storage medium having a computer program stored thereon, the computer program performing the following steps when executed by a processor:
[0035] The echo signal-to-clutter ratio is determined based on the target echo signal from the radar receiver.
[0036] Using the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizing the echo signal-to-clutter ratio as the optimization objective, a radar echo optimization model is constructed.
[0037] The radar echo optimization model is discretized to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0038] The power spectrum of the transmitted waveform is synthesized by the phase recovery algorithm to obtain the optimized time-domain waveform of the radar.
[0039] Compared to existing waveform design methods, this invention offers wider applicability and higher accuracy in radar detection, identification, and tracking. The beneficial technical effects achieved through this solution are as follows: By maximizing the signal-to-clutter-to-noise ratio (SNR) in the radar receiver's echo signal and increasing the waveform energy and equivalent bandwidth constraints, a radar echo optimization model is constructed. This model better balances the requirements of weak target detection and precise tracking, maximizing the potential of the radar detection and identification system. Furthermore, through discretization and Tinkelbach's rule, the radar echo optimization model is transformed into a series of convex second-order cone programming models, resulting in polynomial time complexity. Finally, the transmitted waveform power spectrum is synthesized using a phase retrieval algorithm to obtain the optimized radar time-domain waveform, further expanding its applicability and improving radar cognitive efficiency. Attached Figure Description
[0040] Figure 1 This is a flowchart illustrating a radar waveform design method in one embodiment;
[0041] Figure 2 This is a structural block diagram of a radar waveform design device in one embodiment;
[0042] Figure 3 This is an internal structural diagram of a computer device in one embodiment. Detailed Implementation
[0043] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.
[0044] This application provides a radar waveform design method, such as... Figure 1 As shown, the specific steps include:
[0045] Step 102: Determine the echo signal-to-clutter ratio based on the target echo signal from the radar receiver.
[0046] The echo signal received by the radar receiver can be an echo signal from the mission target transmitted by a satellite, or an echo signal directly reflected by the target in the radar mission. In addition, the form of the echo signal can be a pulse radar signal, a continuous wave radar signal, a pulse compression radar signal, or a frequency agile radar signal, etc.
[0047] Specifically, the echo signal-to-clutter ratio (SCR) is determined by the radar's operating bandwidth, the spectrum of the echo waveform, the power spectrum distribution of the radar's background clutter, the noise power spectrum distribution, and the radar's frequency response function. Through Pascal's theorem, a more rigorous definition of the SCR in the frequency domain is constructed, where the radar's frequency response function is constructed from the frequency of the target to be detected by the radar and the frequency of the target tracked by the radar.
[0048] Step 104: Using the waveform energy and equivalent bandwidth of the target echo signal as design variables and maximizing the echo signal-to-clutter ratio as the optimization objective, construct a radar echo optimization model.
[0049] It is worth noting that by increasing the waveform energy of the target echo signal in the energy spectrum of the echo waveform, the signal-to-clutter-noise ratio (SCR) of the echo waveform is maximized. At the same time, the equivalent bandwidth of the waveform is increased on the maximized echo SCR, thereby widening the equivalent bandwidth of the echo waveform, which facilitates the subsequent target tracking and identification tasks. The radar echo optimization model is obtained by optimizing the SCR using the above two design variables.
[0050] Step 106: Discretize the radar echo optimization model to obtain a discrete optimization model. Approximate the discrete optimization model using the Tinkerbach rule to obtain a second-order cone programming model. Iteratively solve the second-order cone programming model using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0051] It is worth noting that discretizing the radar echo optimization model mainly involves constructing a discrete model using discrete complex vectors corresponding to the energy spectrum, frequency response function, clutter power spectrum distribution, and noise power spectrum distribution of the echo waveform. These discrete complex vectors are... This leads to an equivalent discrete optimization model. Based on this, using the Tinkelbach rule, by adding the Tinkelbach efficiency factor to the discrete optimization model, the discrete optimization model is approximated as a second-order cone programming model. Furthermore, by iterating the Tinkelbach efficiency factor using the second-order cone programming algorithm, the discrete value corresponding to the energy spectrum of the optimal radar transmission waveform, i.e., the power spectrum of the radar transmission waveform, is finally obtained.
[0052] Step 108: The power spectrum of the transmitted waveform is synthesized using the phase recovery algorithm to obtain the radar optimized time-domain waveform.
[0053] It is worth noting that the phase retrieval algorithm can be the GS algorithm, Yang-Gu algorithm, ST improved algorithm, etc., or it can be a stacked algorithm such as PIE, ePIE, Newton's method, etc. Furthermore, depending on the actual radar cognitive system, a more accurate, stable, and computationally efficient phase retrieval algorithm can be matched. In addition, the obtained optimized radar time-domain waveform, used as the transmission waveform for subsequent radar target tracking and identification tasks, can ensure the precision of radar target tracking and identification while maintaining effective target detection.
[0054] Compared to existing waveform design methods, the aforementioned radar waveform design method has a wider range of applications and higher accuracy in radar detection, identification, and tracking. The beneficial technical effects achieved by this invention through the above technical solution are as follows: By maximizing the signal-to-clutter-to-noise ratio (SNR) in the radar receiver's echo signal, increasing the waveform energy and equivalent bandwidth constraints of the echo signal, a radar echo optimization model is constructed. The resulting model better balances the requirements of weak target detection and precise tracking, maximizing and releasing the potential of the radar detection and identification system. Furthermore, through discretization decomposition and Tinkelbach's rule, the radar echo optimization model is transformed into a series of convex second-order cone programming models, giving it polynomial time complexity. Finally, the transmitted waveform power spectrum is synthesized using a phase retrieval algorithm to obtain the optimized radar time-domain waveform, further expanding the scope of application and improving the radar's cognitive efficiency.
[0055] In one embodiment, the operating bandwidth of the radar receiver is In this case, according to the radar's frequency response function Using Pascal's theorem, the echo signal-to-clutter ratio of the target echo signal in the frequency domain is calculated as follows:
[0056] ;
[0057] in, The frequency spectrum of the echo waveform. The power spectrum distribution of background clutter in radar operation. For the noise power spectrum distribution, The waveform energy of the echo signal. The waveform equivalent bandwidth of the echo signal.
[0058] It is evident that this echo signal-to-clutter-to-noise ratio (SCR) model employs a rigorous definition of SCR, overcoming the performance loss problem caused by the heuristic SCR definition in traditional radar water injection waveform design methods.
[0059] In one embodiment, the present invention uses the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizes the echo signal-to-clutter ratio as the optimization objective, to construct a radar echo optimization model as follows:
[0060] ;
[0061] in, This represents the energy spectrum of the transmitted waveform from the radar transmitter.
[0062] Therefore, it can be seen that by adding an equivalent bandwidth constraint to the traditional radar water injection waveform design method, the measurement accuracy requirements for radar target precision tracking tasks can be taken into account at the same time, and the radar echo optimization model has better robustness.
[0063] In one embodiment, the radar echo optimization model is used to optimize the radar echo. , , as well as Discretize and decompose to obtain the following results: Discrete complex vectors of dimension , , as well as The discrete optimization model is constructed based on discrete complex vectors as follows:
[0064] .
[0065] In one embodiment, the Tinkerbach rule is utilized to introduce the Tinkerbach efficiency factor. Taking the discrete optimization model as the optimization objective, the approximate model of the discrete optimization model is expressed as:
[0066] ;
[0067] make , , , , , , , , , The second-order cone programming model is obtained, expressed as:
[0068] .
[0069] In one embodiment, a second-order cone programming algorithm is used to solve the second-order cone programming model to obtain the power spectrum of the radar transmitter's transmitted waveform. Substitute the power spectrum of the transmitted waveform into the objective function. Error determination is performed to obtain the optimal transmitted waveform power spectrum of the radar echo optimization model.
[0070] In one embodiment, let the error threshold be... ,when Then, the next Tinkelbach efficiency factor is introduced into the second-order cone programming model. The optimization iteration is performed to obtain the power spectrum of the next transmitted waveform, until when At that time, the optimal transmitted waveform power spectrum is obtained. .
[0071] Therefore, by adopting the Tinkelbach rule, the above cognitive radar echo optimization model is transformed into a series of convex second-order cone programming models, which have polynomial time complexity, simplify the solution method, and improve the efficiency of waveform design.
[0072] It should be understood that, although Figure 1 The steps in the flowchart are shown sequentially as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified herein, there is no strict order in which these steps are executed, and they can be performed in other orders. Figure 1 At least some of the steps in the process may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily completed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least some of the sub-steps or stages of other steps.
[0073] In one embodiment, such as Figure 2As shown, a radar waveform design device is provided, including: a signal receiving module 202, an echo waveform optimization module 204, an echo waveform processing module 206, and a transmitted waveform synthesis module 208, wherein:
[0074] The signal receiving module 202 is used to determine the echo signal-to-clutter ratio based on the target echo signal from the radar receiver.
[0075] The echo waveform optimization module 204 is used to construct a radar echo optimization model with the waveform energy and waveform equivalent bandwidth of the target echo signal as design variables and the goal of maximizing the echo signal-to-clutter ratio.
[0076] The echo waveform processing module 206 is used to discretize the radar echo optimization model to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0077] The transmit waveform synthesis module 208 synthesizes the transmit waveform power spectrum through a phase recovery algorithm to obtain the radar optimized time-domain waveform.
[0078] For specific limitations regarding a radar waveform design device, please refer to the limitations regarding a radar waveform design method described above, which will not be repeated here. Each module in the aforementioned radar waveform design device can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in or independent of the processor in a computer device in hardware form, or stored in the memory of a computer device in software form, so that the processor can call and execute the operations corresponding to each module.
[0079] In one embodiment, a computer device is provided, which may be a terminal, and its internal structure diagram may be as follows: Figure 3 As shown, the computer device includes a processor, memory, network interface, display screen, and input devices connected via a system bus. The processor provides computing and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system and computer programs. The internal memory provides an environment for the operation of the operating system and computer programs stored in the non-volatile storage media. The network interface is used for communication with external terminals via a network connection. When the computer program is executed by the processor, it implements a radar waveform design method. The display screen can be an LCD screen or an e-ink screen. The input devices can be a touch layer covering the display screen, buttons, a trackball, or a touchpad on the computer device's casing, or an external keyboard, touchpad, or mouse.
[0080] Those skilled in the art will understand that Figure 3 The structure shown is merely a block diagram of a portion of the structure related to the present application and does not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.
[0081] In one embodiment, a computer device is provided, including a memory and a processor, the memory storing a computer program, the processor executing the computer program to perform the following steps:
[0082] The echo signal-to-clutter ratio is determined based on the target echo signal from the radar receiver.
[0083] Using the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizing the echo signal-to-clutter ratio as the optimization objective, a radar echo optimization model is constructed.
[0084] The radar echo optimization model is discretized to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0085] The power spectrum of the transmitted waveform is synthesized by the phase recovery algorithm to obtain the optimized time-domain waveform of the radar.
[0086] In one embodiment, the processor, when executing a computer program, also performs the following steps:
[0087] The target echo signal includes: within the operating bandwidth of the radar receiver. In this case, according to the radar's frequency response function Using Pascal's theorem, the echo signal-to-clutter ratio of the target echo signal in the frequency domain is calculated as follows:
[0088] ;
[0089] in, The frequency spectrum of the echo waveform. The power spectrum distribution of background clutter in radar operation. For the noise power spectrum distribution, The waveform energy of the echo signal. This is the waveform equivalent bandwidth of the echo signal.
[0090] In one embodiment, the processor, when executing a computer program, also performs the following steps:
[0091] This invention uses the waveform energy and equivalent bandwidth of the target echo signal as design variables, and aims to maximize the echo signal-to-clutter ratio as the optimization objective, constructing a radar echo optimization model as follows:
[0092] ;
[0093] in, This represents the energy spectrum of the transmitted waveform from the radar transmitter.
[0094] In one embodiment, the processor, when executing a computer program, also performs the following steps:
[0095] In the radar echo optimization model , , as well as Discretize and decompose to obtain the following results: Discrete complex vectors of dimension , , as well as The discrete optimization model is constructed based on discrete complex vectors as follows:
[0096] .
[0097] In one embodiment, the processor, when executing a computer program, also performs the following steps:
[0098] Using Tinkerbach's rule, the Tinkerbach efficiency factor is introduced. Taking the discrete optimization model as the optimization objective, the approximate model of the discrete optimization model is expressed as:
[0099] ;
[0100] make , , , , , , , , , The second-order cone programming model is obtained, expressed as:
[0101] .
[0102] In one embodiment, the processor, when executing a computer program, also performs the following steps:
[0103] The second-order cone programming algorithm is used to solve the second-order cone programming model to obtain the power spectrum of the radar transmitter's transmitted waveform. Substitute the power spectrum of the transmitted waveform into the objective function. Error determination is performed to obtain the optimal transmitted waveform power spectrum of the radar echo optimization model.
[0104] In one embodiment, the processor, when executing a computer program, also performs the following steps:
[0105] Let the error threshold be ,when Then, the next Tinkelbach efficiency factor is introduced into the second-order cone programming model. The optimization iteration is performed to obtain the power spectrum of the next transmitted waveform, until when At that time, the optimal transmitted waveform power spectrum is obtained. .
[0106] In one embodiment, a computer-readable storage medium is provided having a computer program stored thereon, the computer program performing the following steps when executed by a processor:
[0107] The echo signal-to-clutter ratio is determined based on the target echo signal from the radar receiver.
[0108] Using the waveform energy and equivalent bandwidth of the target echo signal as design variables, and maximizing the echo signal-to-clutter ratio as the optimization objective, a radar echo optimization model is constructed.
[0109] The radar echo optimization model is discretized to obtain a discrete optimization model. The discrete optimization model is approximated by the Tinkerbach rule to obtain a second-order cone programming model. The second-order cone programming model is iteratively solved using the second-order cone programming algorithm to obtain the transmitted waveform power spectrum of the radar echo optimization model.
[0110] The power spectrum of the transmitted waveform is synthesized by the phase recovery algorithm to obtain the optimized time-domain waveform of the radar.
[0111] In one embodiment, when the computer program is executed by a processor, it also performs the following steps:
[0112] The operating bandwidth of the radar receiver is In this case, according to the radar's frequency response function Using Pascal's theorem, the echo signal-to-clutter ratio of the target echo signal in the frequency domain is calculated as follows:
[0113] ;
[0114] in, The frequency spectrum of the echo waveform. The power spectrum distribution of background clutter in radar operation. For the noise power spectrum distribution, The waveform energy of the echo signal. This is the waveform equivalent bandwidth of the echo signal.
[0115] In one embodiment, when the computer program is executed by a processor, it also performs the following steps:
[0116] This invention uses the waveform energy and equivalent bandwidth of the target echo signal as design variables, and aims to maximize the echo signal-to-clutter ratio as the optimization objective, constructing a radar echo optimization model as follows:
[0117] ;
[0118] in, This represents the energy spectrum of the transmitted waveform from the radar transmitter.
[0119] In one embodiment, when the computer program is executed by a processor, it also performs the following steps:
[0120] In the radar echo optimization model , , as well as Discretize and decompose to obtain the following results: Discrete complex vectors of dimension , , as well as The discrete optimization model is constructed based on discrete complex vectors as follows:
[0121] .
[0122] In one embodiment, when the computer program is executed by a processor, it also performs the following steps:
[0123] Using Tinkerbach's rule, the Tinkerbach efficiency factor is introduced. Taking the discrete optimization model as the optimization objective, the approximate model of the discrete optimization model is expressed as:
[0124] ;
[0125] make , , , , , , , , , The second-order cone programming model is obtained, expressed as:
[0126] .
[0127] In one embodiment, when the computer program is executed by a processor, it also performs the following steps:
[0128] The second-order cone programming algorithm is used to solve the second-order cone programming model to obtain the power spectrum of the radar transmitter's transmitted waveform. Substitute the power spectrum of the transmitted waveform into the objective function. Error determination is performed to obtain the optimal transmitted waveform power spectrum of the radar echo optimization model.
[0129] In one embodiment, when the computer program is executed by a processor, it also performs the following steps:
[0130] Let the error threshold be ,when Then, the next Tinkelbach efficiency factor is introduced into the second-order cone programming model. The optimization iteration is performed to obtain the power spectrum of the next transmitted waveform, until when At that time, the optimal transmitted waveform power spectrum is obtained. .
[0131] Those skilled in the art will understand that all or part of the processes in the methods of the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments of the above methods. Any references to memory, storage, databases, or other media used in the embodiments provided in this application can 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 a variety of forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), dual data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), RAMbus direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.
[0132] The technical features of the above embodiments can be combined in any way. For the sake of brevity, 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.
[0133] The embodiments described above are merely illustrative of several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the invention patent. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.
Claims
1. A radar waveform design method, characterized by, The method comprises: determining a return signal-to-clutter ratio according to a target return signal of a radar receiver; In case the operating bandwidth of the radar receiver is , the echo signal to jamming noise ratio of the target echo signal is calculated in the frequency domain according to the frequency response function of the radar by Parseval's theorem as wherein, is a power spectrum distribution of the radar operating background clutter, is a power spectrum distribution of the radar operating background clutter, is a power spectrum distribution of the radar operating background clutter, is a waveform energy of the echo signal, is a waveform equivalent bandwidth of the echo signal; constructing a radar return optimization model by taking waveform energy and waveform equivalent bandwidth of the target return signal as design variables and maximizing the return signal-to-clutter ratio as an optimization target; wherein is the transmit waveform energy spectrum of the radar transmitter; discretizing and decomposing the radar return optimization model to obtain a discrete optimization model, approximating the discrete optimization model by the Benders rule to obtain a second-order cone programming model, and iteratively solving the second-order cone programming model by a second-order cone programming algorithm to obtain a transmit waveform power spectrum of the radar return optimization model; synthesizing the transmit waveform power spectrum by a phase recovery algorithm to obtain a radar optimized time-domain waveform.
2. The method of claim 1, wherein, The discretizing and decomposing the radar return optimization model to obtain a discrete optimization model comprises: The radar echo optimization model , , as well as Discretize and decompose to obtain the following results: Discrete complex vectors of dimension , , as well as The discrete optimization model constructed based on the discrete complex vector is as follows: 。 3. The method of claim 2, wherein, The approximating the discrete optimization model by the Benders rule to obtain a second-order cone programming model comprises: Utilizing the Bunsen-Kolbe rule, a Bunsen-Kolbe efficiency factor is introduced The approximate model of the discrete optimization model is represented as: Let , , , , , , , , , , we obtain a second-order cone programming model, denoted as: 。 4. The method of claim 3, wherein, The iteratively solving the second-order cone programming model by a second-order cone programming algorithm to obtain a transmit waveform power spectrum of the radar return optimization model comprises: Solving the second order cone programming model by using a second order cone programming algorithm to obtain a transmit waveform power spectrum of the radar transmitter Substituting the transmit waveform power spectrum into a target function Performing error determination to obtain an optimal transmit waveform power spectrum of the radar echo optimization model.
5. The method of claim 4, wherein, substituting the transmit waveform power spectrum into the objective function performing error determination to obtain the optimal transmit waveform power spectrum of the radar echo optimization model, comprising: Let error threshold be When , introduce the next Binkhorst performance factor to the second-order cone programming model Optimization iteration is performed to obtain the next transmit waveform power spectrum until When , the optimal transmit waveform power spectrum is obtained 6. A radar waveform design apparatus characterized by comprising: The apparatus for implementing the method of any one of claims 1 to 5 comprises: a signal receiving module configured to determine a return signal-to-clutter ratio according to a target return signal of a radar receiver; a return waveform optimization module configured to construct a radar return optimization model by taking waveform energy and waveform equivalent bandwidth of the target return signal as design variables and maximizing the return signal-to-clutter ratio as an optimization target; a return waveform processing module configured to discretize and decompose the radar return optimization model to obtain a discrete optimization model, approximate the discrete optimization model by the Benders rule to obtain a second-order cone programming model, and iteratively solve the second-order cone programming model by a second-order cone programming algorithm to obtain a transmit waveform power spectrum of the radar return optimization model; a transmit waveform synthesizing module configured to synthesize the transmit waveform power spectrum by a phase recovery algorithm to obtain a radar optimized time-domain waveform. 7.A computer device, comprising a memory and a processor, wherein the memory stores a computer program, and the computer device is configured to perform the method according to any one of claims 1-6 when the computer program is executed by the processor. The processor implements the steps of the method of any one of claims 1 to 5 when executing the computer program.
8. A computer readable storage medium having stored thereon a computer program, characterized in that, The computer program, when executed by the processor, implements the steps of the method of any one of claims 1 to 5.