Target high-resolution range profile echo simulation method, device, system, equipment, medium and program product

By setting and projecting the scattering points of the target, calculating and modulating the delay time and phase difference of the radar signal, the problem that cannot meet the high resolution requirements of modern radar systems in the prior art is solved, and the simulation of high-resolution distance image echo is achieved, which improves the effect of test and verification.

CN120178183AActive Publication Date: 2025-06-20SOUTHWEST CHINA RES INST OF ELECTRONICS EQUIP
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Patent Information

Application Number
CN202510318981.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-03-18
Publication Date
2025-06-20
Estimated Expiration
2045-03-18

AI Technical Summary

Technical Problem

The radar target simulation system based on ‘point’ target simulation cannot meet the high resolution requirements of modern radar systems and cannot effectively distinguish the echo signals at different scattering points of the same target.

Method used

By setting the number of scattering points, position coordinates and RCS values ​​of the target, the scattering points are projected to the radar line of sight using the radar azimuth angle, and the delay time and phase difference are calculated and modulated to generate high-resolution distance image echo.

Benefits of technology

It realizes high-resolution processing of radar signals, generates realistic high-resolution distance image echoes, and improves the pertinence and effectiveness of radar system testing and verification.

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Abstract

The invention provides a target high-resolution range profile echo simulation method, device, system and equipment, a medium and a program product. The method comprises the steps that the number, position coordinates and RCS values of scattering points are set; projecting the position coordinates of the scattering points to a radar sight line direction according to the radar azimuth angle to obtain projection position coordinates of the scattering points; calculating delay time by using the coordinates of the projection positions of the scattering points, and delaying the radar signals; calculating a phase difference by using the projection position coordinates of the scattering points, and obtaining modulation data by combining with the RCS value; and processing the delayed radar signal by using the modulation data to obtain a radar echo, and further obtaining a high-resolution range profile echo of the target. For the received radar signal, the target generated by the method is no longer a simple'point 'target but a'line' target obtained by projecting different scattering points on the target in the radar line-of-sight direction, so that the scattering characteristic of the real target can be reflected more vividly, and the pertinence and effectiveness of radar system test verification are improved.
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Description

Technical Field

[0001] The present invention relates to the technical field of radar signal processing. Specifically, the present invention relates to a method, device, system, equipment, medium and program product for simulating target high-resolution range profile echoes, which can be used to simulate broadband high-resolution range profile echoes of targets in a radar target simulation system. Background Art

[0002] Radar target simulation systems can generate radar echo signals of different targets for testing and verifying the functions and performances of radar systems. Since the bandwidth of the transmitted signals of early radar systems was relatively narrow and the range resolution of the radar was not high enough to effectively distinguish different scattering points of the same target, current radar target simulation systems all use Digital Radio Frequency Memory (DRFM) to simulate "point" targets.

[0003] With the development and progress of radar systems, the bandwidth of radar transmitted signals is getting wider and wider, and the corresponding range resolution is getting higher and higher. Echo signals of different scattering points of the same target can be distinguished in different range cells, thus forming a "line" target, that is, the high-resolution range profile (HRRP) echo of the target. In this case, the radar target simulation system based on "point" target simulation no longer meets the requirements for testing and verifying the functions and performances of radar systems. Summary of the Invention

[0004] The present invention aims to provide a method, device, system, equipment, medium and program product for simulating target high-resolution range profile echoes to solve the problem that the radar target simulation system based on "point" target simulation no longer meets the requirements for testing and verifying the functions and performances of radar systems.

[0005] In a first aspect, the present invention provides a method for simulating target high-resolution range profile echoes, including the following steps:

[0006] Set the number of scattering points, the position coordinates of the scattering points, and the RCS value corresponding to each scattering point of the target to be simulated;

[0007] According to the input radar azimuth angle, project the position coordinates of each scattering point onto the radar line-of-sight direction to obtain the projected position coordinates of the scattering points;

[0008] Use the projected position coordinates of the scattering points to calculate the delay time to be modulated; for the radar signal received by the radar target simulation system, use the delay time to delay the radar signal to obtain the delayed radar signal;

[0009] Using the projected position coordinates of the scattering points, calculate the phase difference to be modulated, and use the phase difference and the RCS value of the corresponding scattering point to obtain modulation data;

[0010] Process the delayed radar signal using the modulation data to obtain the radar echo of each scattering point;

[0011] Based on the radar echo of each scattering point, obtain the high-resolution range image echo of the corresponding target.

[0012] In some embodiments, the projecting the position coordinates of each scattering point onto the radar line of sight includes:

[0013] Construct a rotation matrix according to the radar azimuth angle;

[0014] Perform matrix multiplication according to the scattering point position coordinates and the rotation matrix to project the scattering point position coordinates onto the radar line of sight and obtain the projected position coordinates of the scattering points.

[0015] In some embodiments, the modulation data is obtained by multiplying the phase difference and the RCS value of the corresponding scattering point.

[0016] In some embodiments, the radar echo is obtained by multiplying the modulation data and the delayed radar signal.

[0017] In some embodiments, the high-resolution range image echo of the target is obtained by vectorially adding the radar echoes of each scattering point.

[0018] In a second aspect, the present invention provides a target high-resolution range image echo simulation device, including:

[0019] A first processing unit for setting the number of scattering points of the target to be simulated, the position coordinates of the scattering points, and the RCS value corresponding to each scattering point;

[0020] A second processing unit for projecting the position coordinates of each scattering point onto the radar line of sight according to the input radar azimuth angle to obtain the projected position coordinates of the scattering points;

[0021] A third processing unit for calculating the delay time to be modulated using the projected position coordinates of the scattering points; for the radar signal received by the radar target simulation system, delaying the radar signal using the delay time to obtain a delayed radar signal;

[0022] A fourth processing unit for calculating the phase difference to be modulated using the projected position coordinates of the scattering points, and obtaining modulation data using the phase difference and the RCS value of the corresponding scattering point;

[0023] A fifth processing unit, configured to process the delayed radar signal by using the modulation data to obtain a radar echo of each scattering point;

[0024] A sixth processing unit, configured to obtain a high-resolution range profile echo of a corresponding target based on the radar echo of each scattering point.

[0025] In a third aspect, the present invention provides a radar target simulation system, in which the above-mentioned target high-resolution range profile echo simulation device is provided.

[0026] In a fourth aspect, the present invention provides an electronic device, including:

[0027] At least one processor; and a memory communicatively connected to the at least one processor;

[0028] Wherein, the memory stores instructions executable by the at least one processor, and the at least one processor, by executing the instructions stored in the memory, causes the at least one processor to execute the above method.

[0029] In a fifth aspect, the present invention provides a computer-readable storage medium, which is used to store instructions, and when the instructions are executed, the above method is implemented.

[0030] In a sixth aspect, the present invention provides a computer program product, which, when called by a computer, causes the computer to execute the above method.

[0031] In summary, due to the adoption of the above technical solutions, the beneficial effects of the present invention are as follows:

[0032] For the received radar signal, the target generated by the present invention is no longer a simple "point" target, but a "line" target obtained by projecting different scattering points on the target in the radar line-of-sight direction, which can more realistically reflect the scattering characteristics of the real target and improve the pertinence and effectiveness of the radar system test and verification. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] Figure 1 is a flowchart of a method for simulating a high-resolution range profile echo of a target provided by an embodiment of the present invention.

[0034] Figure 2 is a waveform diagram of target echo data obtained by a traditional method (azimuth angle 30 degrees).

[0035] Figure 3 is a waveform diagram of target echo data obtained by a traditional method (azimuth angle 60 degrees).

[0036] Figure 4It is the waveform diagram of the target wideband high-resolution range profile data obtained by the method of the embodiment of the present invention (azimuth angle 30 degrees).

[0037] Figure 5 It is the waveform diagram of the target wideband high-resolution range profile data obtained by the method of the embodiment of the present invention (azimuth angle 60 degrees).

[0038] Figure 6 It is the structural schematic diagram of a target high-resolution range profile echo simulation device provided by the embodiment of the present invention.

[0039] Figure 7 It is the structural schematic diagram of an electronic device provided by the embodiment of the present invention. Detailed implementation manners

[0040] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are some, but not all, of the embodiments of the present invention. Usually, the components of the embodiments of the present invention described and illustrated herein can be arranged and designed in various different configurations.

[0041] Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed present invention, but merely represents selected embodiments of the present invention. All other embodiments obtained by those of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.

[0042] As Figure 1 shown, this embodiment proposes a target high-resolution range profile echo simulation method, including the following steps:

[0043] Step S1, set the number of scattering points, the position coordinates of the scattering points, and the RCS value corresponding to each scattering point of the target to be simulated;

[0044] In some embodiments, the specific settings are as follows:

[0045] (1) Set the number of scattering points N;

[0046] (2) Set the scattering point position coordinate matrix S:

[0047]

[0048] where s n =[x n ,y n ,z n T is the position coordinate vector of the nth scattering point, x n ,y​n , z n is the position coordinate of the nth scattering point, with the unit of meter.

[0049] (3) Set the RCS value corresponding to each scattering point, expressed as a vector σ = [σ1, σ2,..., σ N T , σ n is the RCS value corresponding to the nth scattering point, with the unit of square meter.

[0050] Step S2: According to the input radar azimuth angle, project the position coordinates of each scattering point onto the radar line of sight direction to obtain the projected position coordinates of the scattering points;

[0051] In some embodiments, step S2 includes:

[0052] S21: According to the radar azimuth angle, construct a rotation matrix, expressed as:

[0053]

[0054] where θ is the radar azimuth angle and R is the rotation matrix.

[0055] S22: According to the position coordinates of the scattering points and the rotation matrix, perform matrix multiplication operation to project the position coordinates of the scattering points onto the radar line of sight to obtain the projected position coordinates of the scattering points, expressed as:

[0056]

[0057] where represents the vector of the projected position coordinates of the scattering points, and the projected position coordinates of each scattering point are as follows:

[0058]

[0059] Step S3: Use the projected position coordinates of the scattering points to calculate the delay time that needs to be modulated; for the radar signal received by the radar target simulation system, use the delay time to delay the radar signal to obtain the delayed radar signal;

[0060] The delay time is expressed as:

[0061]

[0062] where τ n represents the delay time and c represents the speed of light.

[0063] The radar signal received by the radar target simulation system is expressed as r t , and t is the current sampling time;

[0064] The delayed radar signal is expressed as​

[0065] Step S4: Using the projection position coordinates of the scattering points, calculate the phase difference to be modulated, and use the phase difference and the RCS value of the corresponding scattering point to obtain modulation data;

[0066] The phase difference is expressed as:

[0067]

[0068] where, represents the phase difference, and λ represents the wavelength.

[0069] The modulation data is obtained by multiplying the phase difference and the RCS value of the corresponding scattering point, and is expressed as:

[0070]

[0071] where, μ n represents the modulation data.

[0072] Step S5: Use the modulation data to process the delayed radar signal to obtain the radar echo of each scattering point;

[0073] In some embodiments, the radar echo is obtained by multiplying the modulation data and the delayed radar signal, and is expressed as:

[0074]

[0075] where, represents the radar echo.

[0076] Step S6: Based on the radar echo of each scattering point, obtain the high-resolution range image echo of the corresponding target.

[0077] In some embodiments, the high-resolution range image echo of the target is obtained by vectorially adding the radar echoes of each scattering point, and is expressed as:

[0078]

[0079] where, r represents the high-resolution range image echo of the target.

[0080] The effects of the present invention are further illustrated by the following experiments:

[0081] (1) Experimental content:

[0082] In the simulation, the number of scattering points is set to 11, and the position coordinates and RCS values of the scattering points are shown in Table 1;

[0083] Table 1, Position coordinates and RCS values of the scattering points set in the simulation:

[0084]

[0085] Figure 2 Shows the target echo data obtained by the traditional method (azimuth angle 30 degrees);

[0086] Figure 3 Shows the target echo data obtained by the traditional method (azimuth angle 60 degrees);

[0087] Figure 4 Shows the target wideband high-resolution range profile data obtained by the proposed method (azimuth angle 30 degrees);

[0088] Figure 5 Shows the target wideband high-resolution range profile data obtained by the proposed method (azimuth angle 60 degrees);

[0089] (2) Analysis of test results:

[0090] From Figure 2 and Figure 3 It can be seen that after processing the target echo data obtained by the traditional method, there is only one peak, that is, it can be regarded as a "point" target, and the difference in different directions is small;

[0091] From Figure 4 and Figure 5 It can be seen that after processing the target echo data obtained by the method of the present invention, the echoes of different scattering points are distinguished to form a "line" target, and the fluctuation differences in different directions are relatively obvious, and the scattering characteristics of real targets can be simulated.

[0092] Based on the same technical concept, as Figure 6 shown, an embodiment of the present invention further provides a target high-resolution range profile echo simulation device, including:

[0093] The first processing unit is used to set the number of scattering points, the position coordinates of the scattering points, and the RCS value corresponding to each scattering point of the target to be simulated;

[0094] The second processing unit is used to project the position coordinates of each scattering point onto the radar line-of-sight direction according to the input radar azimuth angle to obtain the projected position coordinates of the scattering points;

[0095] The third processing unit is used to calculate the delay time to be modulated by using the projected position coordinates of the scattering points; for the radar signal received by the radar target simulation system, the radar signal is delayed by using the delay time to obtain the delayed radar signal;

[0096] A fourth processing unit, configured to calculate a phase difference to be modulated by using the projected position coordinates of the scattering points, and obtain modulation data by using the phase difference and the RCS value of the corresponding scattering point;

[0097] A fifth processing unit, configured to process the delayed radar signal by using the modulation data to obtain the radar echo of each scattering point;

[0098] A sixth processing unit, configured to obtain a high-resolution range profile echo of the corresponding target based on the radar echo of each scattering point.

[0099] As for the specific processing manners of the respective processing units in the above device, reference may be made to the specific description of the above method, which will not be elaborated herein.

[0100] Based on the same technical concept, an embodiment of the present invention further provides a radar target simulation system, in which the above-described high-resolution range profile echo simulation device of the target is provided. The working principle of the high-resolution range profile echo simulation device of the target may be referred to the specific description of the above method, which will not be elaborated herein.

[0101] Based on the same technical concept, an embodiment of the present invention further provides an electronic device, which can implement the process of the high-resolution range profile echo simulation method provided in the above embodiments of the present invention. In one embodiment, the electronic device may be a server, or a terminal device or other electronic devices. As Figure 7 shown, the electronic device may include:

[0102] At least one processor, and a memory connected to at least one processor. In the embodiments of the present invention, the specific connection medium between the processor and the memory is not limited. Figure 7 In the example, the connection between the processor and the memory is through a bus. The bus is Figure 7 shown by a thick line in the figure. The connection manners between other components are only for illustrative purposes and are not limited thereto. The bus may be divided into an address bus, a data bus, a control bus, etc. For the sake of convenience of representation, Figure 7 only a thick line is shown in the figure, but it does not mean that there is only one bus or one type of bus. Alternatively, the processor may also be referred to as a controller, and the name is not limited.

[0103] In the embodiments of the present invention, the memory stores instructions executable by at least one processor. By executing the instructions stored in the memory, at least one processor can execute a high-resolution range profile echo simulation method described above. The processor can implement Figure 7 the functions of each module in the device shown in the figure.

[0104] Among them, the processor is the control center of the device. It can connect various parts of the entire control device through various interfaces and circuits. By running or executing instructions stored in the memory and calling data stored in the memory, it can perform various functions of the device and process data, thereby monitoring the device as a whole.

[0105] In an alternative design, the processor may include one or more processing units. The processor may integrate an application processor and a modem processor. Among them, the application processor mainly processes the operating system, user interface, application programs, etc., and the modem processor mainly processes wireless communication. It can be understood that the above-mentioned modem processor may not be integrated into the processor. In some embodiments, the processor and the memory may be implemented on the same chip, and in some embodiments, they may also be separately implemented on independent chips.

[0106] The processor can be a general-purpose processor, such as a CPU, a digital signal processor, an application-specific integrated circuit, a field-programmable gate array, or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, and can implement or execute the various methods, steps, and logic block diagrams disclosed in the embodiments of the present invention. The general-purpose processor can be a microprocessor or any conventional processor, etc. The steps of a target high-resolution range profile echo simulation method disclosed in combination with the embodiments of the present invention can be directly embodied as being executed by a hardware processor, or executed by a combination of hardware and software modules in the processor.

[0107] As a non-volatile computer-readable storage medium, the memory can be used to store non-volatile software programs, non-volatile computer-executable programs, and modules. The memory may include at least one type of storage medium, for example, it may include flash memory, hard disk, multimedia card, card-type memory, random access memory (RAM), static random access memory (SRAM), programmable read-only memory (PROM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), magnetic memory, magnetic disk, optical disc, and so on. The memory is any other medium that can be used to carry or store the desired program code in the form of instructions or data structures and can be accessed by a computer, but is not limited thereto. The memory in the embodiments of the present invention may also be a circuit or any other device capable of implementing a storage function, for storing program instructions and / or data.

[0108] By programming the design of the processor, the code corresponding to a target high-resolution range profile echo simulation method introduced in the foregoing embodiments can be solidified into the chip, so that the chip can execute the steps of the method in the foregoing embodiments when running. How to program the design of the processor is a well-known technology to those skilled in the art and will not be elaborated here.

[0109] Based on the same inventive concept, an embodiment of the present invention further provides a storage medium that stores computer instructions. When the computer instructions run on a computer, the computer is caused to execute a target high-resolution range profile echo simulation method described above.

[0110] In some alternative embodiments, various aspects of a target high-resolution range profile echo simulation method provided by the present invention can also be implemented in the form of a program product, which includes program code. When the program product runs on a device, the program code is used to cause the control device to execute the steps in a target high-resolution range profile echo simulation method according to various exemplary embodiments of the present invention described above in this specification.

[0111] It should be noted that although several units or subunits of the device are mentioned in the foregoing detailed description, such a division is merely exemplary and not mandatory. In fact, according to the embodiments of the present invention, the features and functions of the two or more units described above can be embodied in one unit. Conversely, the features and functions of one unit described above can be further divided and embodied by multiple units. In addition, although the operations of the method of the present invention are described in a specific order in the drawings, this does not require or imply that these operations must be performed in that specific order, or that all the operations shown must be performed to achieve the desired result. Additionally or alternatively, some steps may be omitted, multiple steps may be combined into one step for execution, and / or one step may be decomposed into multiple steps for execution.

[0112] Those skilled in the art should understand that the embodiments of the present invention can be provided as a method, a system, or a computer program product. Therefore, the present invention can take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present invention can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk memory, CD-ROM, optical memory, etc.) containing computer-usable program code.

[0113] The present invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It should be understood that each flow and / or block in the flowchart illustrations and / or block diagrams, and combinations of flows and / or blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to the processors of general purpose computers, special purpose computers, embedded processors, or other programmable data processing devices to produce a server such that the instructions executed by the processors of the computer or other programmable data processing device create means for implementing the functions specified in one flow Figure 1 one flow or multiple flows and / or blocks Figure 1 or means for implementing the functions specified in one block or multiple blocks.

[0114] Program code for performing the operations of the present invention may be written using any combination of one or more programming languages, including object-oriented programming languages such as Java, C++, etc., and also including conventional procedural programming languages such as the "C" language or similar programming languages. The program code may execute entirely on the user computing device, partly on the user device, as a stand-alone software package, partly on the user computing device and partly on a remote computing device, or entirely on the remote computing device or server.

[0115] In the case of a remote computing device, the remote computing device may be connected to the user computing device through any type of network including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computing device (e.g., through the Internet using an Internet service provider).

[0116] These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing device to work in a particular manner, such that the instructions stored in the computer-readable memory produce a manufacture including instruction means for implementing the functions specified in one flow Figure 1 one flow or multiple flows and / or blocks Figure 1 or means for implementing the functions specified in one block or multiple blocks.

[0117] These computer program instructions may also be loaded onto a computer or other programmable data processing device such that a series of operational steps are performed on the computer or other programmable device to produce a computer-implemented process, and thus the instructions executed on the computer or other programmable device provide steps for implementing the functions specified in one flow Figure 1 one flow or multiple flows and / or blocks Figure 1 or means for implementing the functions specified in one block or multiple blocks.

[0118] The above are only the preferred embodiments of the present invention and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims

1. A method for simulating target high-resolution range image echo, characterized in that: The steps include: Set the number of scattering points, the position coordinates of the scattering points, and the RCS value corresponding to each scattering point. According to the input radar azimuth, the position coordinates of each scattering point are projected to the radar line of sight direction to obtain the projection position coordinates of the scattering point; The delay time required for modulation is calculated using the projection position coordinates of the scattering points; for a radar signal received by a radar target simulation system, the delay time is used to delay the radar signal to obtain a delayed radar signal; Calculate the phase difference required for modulation using the projection position coordinates of the scattering point, and obtain modulation data using the phase difference and the RCS value of the corresponding scattering point; Processing the delayed radar signal using the modulation data to obtain a radar echo of each scattering point; Based on the radar echo of each scattering point, a high-resolution range image echo of the corresponding target is obtained.

2. The target high-resolution range image echo simulation method according to claim 1, characterized in that: The projecting of the position coordinates of each scattering point to the radar line of sight direction includes: Construct a rotation matrix based on the radar azimuth; A matrix multiplication operation is performed according to the scattering point position coordinates and the rotation matrix, and the scattering point position coordinates are projected onto the radar line of sight to obtain the scattering point projection position coordinates.

3. The target high-resolution range image echo simulation method according to claim 1, characterized in that: The modulation data is obtained by multiplying the phase difference and the RCS value of the corresponding scattering point.

4. The target high-resolution range image echo simulation method according to claim 1, characterized in that: The radar echo is obtained by multiplying the modulated data and the delayed radar signal.

5. The target high-resolution range profile echo simulation method according to claim 1, characterized in that: The high-resolution range image echo of the target is obtained by vector addition of the radar echo of each scattering point.

6. A target high-resolution range image echo simulation device, characterized in that: include: The first processing unit is used to set the number of scattering points of the target to be simulated, the position coordinates of the scattering points, and the RCS value corresponding to each scattering point; The second processing unit is used to project the position coordinates of each scattering point to the radar line of sight direction according to the input and radar azimuth, so as to obtain the projection position coordinates of the scattering point; The third processing unit is used to calculate the delay time required for modulation using the projection position coordinates of the scattering point; for the radar signal received by the radar target simulation system, the radar signal is delayed using the delay time to obtain a delayed radar signal; A fourth processing unit, used to calculate the phase difference required for modulation using the projection position coordinates of the scattering point, and obtain modulation data using the phase difference and the RCS value of the corresponding scattering point; a fifth processing unit, configured to process the delayed radar signal using the modulation data to obtain a radar echo of each scattering point; The sixth processing unit is used to obtain a high-resolution range image echo of the corresponding target based on the radar echo of each scattering point.

7. A radar target simulation system, characterized in that: The radar target simulation system is provided with the target high-resolution range image echo simulation device as claimed in claim 6.

8. An electronic device, characterized in that: include: at least one processor; and a memory communicatively coupled to the at least one processor; The memory stores instructions that can be executed by the at least one processor, and the at least one processor executes the method as described in any one of claims 1 to 5 by executing the instructions stored in the memory.

9. A computer-readable storage medium, characterized in that: The computer-readable storage medium is used to store instructions, and when the instructions are executed, the method according to any one of claims 1 to 5 is implemented.

10. A computer program product, characterized in that When the computer program product is called by a computer, the computer executes the method according to any one of claims 1 to 5.

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