Method for determining weighting coefficient of triple simulation of distributed near-field scattering center

By establishing a mathematical coordinate system with the center point of the turntable as the origin in the distributed near-field scattering center, the position vector of the rectangular planar structure on the target is determined, and the triplet weighting coefficient is calculated using the amplitude centroid formula. This solves the problem of low efficiency in RF simulation and achieves more efficient and accurate simulation results.

CN120995712APending Publication Date: 2025-11-21UNIV OF SCI & TECH BEIJING +1
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Patent Information

Application Number
CN202511210022.5
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-08-27
Publication Date
2025-11-21

AI Technical Summary

Technical Problem

In existing technologies, the RF simulation efficiency of distributed near-field scattering centers is low, especially in computationally intensive spherical wave integral processing methods, which limits computational efficiency.

Method used

A mathematical coordinate system is established with the center point of the turntable as the origin. The position vectors of each point on the rectangular plane structure on the target are determined. The triplet weighting coefficients are calculated using the amplitude centroid formula, and then the triplet weighting coefficients of the entire rectangular plane structure are determined.

Benefits of technology

It improves the accuracy and efficiency of RF simulation of near-field distributed scattering centers and enables faster and more accurate determination of triplet weighting coefficients.

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Abstract

The invention provides a method for determining a weighting coefficient of triple simulation of a distributed near-field scattering center, and relates to the technical field of scattering center radio frequency simulation. The method comprises the following steps: establishing a mathematical coordinate system by taking a turntable center point as a coordinate origin; determining a position vector of each point on the rectangular plane structure on the target based on the established mathematical coordinate system; based on the determined position vector of each point on the rectangular plane structure, determining the expression of a triple weighting coefficient of each point on the rectangular plane structure; and determining the triple weighting coefficient of the whole rectangular plane structure based on the determined expression of the triple weighting coefficient of each point on the rectangular plane structure. In this way, radio frequency simulation of the near-field distribution type scattering center can have higher precision and efficiency.
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Description

Technical Field

[0001] This invention relates to the field of radio frequency simulation technology for scattering centers, and in particular to a method for determining the weighting coefficients in a triplet simulation of distributed near-field scattering centers. Background Technology

[0002] Hardware-in-the-loop (HIL) RF simulation plays a crucial role in the development of modern electronic systems. Typically, conducting field experiments on electronic systems is costly, and the control of the electromagnetic environment is severely limited. Purely digital simulation techniques also face difficulties in accurately establishing mathematical models. To overcome these problems, HIL RF simulation technology has emerged. This involves introducing a physical component of the electronic system under test (DUT) into the simulation link to perform a physical-in-the-loop simulation. The target's scattered echo signal is emitted by a radiating array antenna wall. To simulate the echo of a point target at a specific azimuth, three adjacent radiating antenna elements can be selected on the antenna array wall to form a triplet. The projection of the point target along the line of sight lies within this triplet. The three radiating elements of this triplet simultaneously radiate signals, which are superimposed in the air to form the simulated echo signal at the receiving turntable. By adjusting the relative amplitudes of these three radiating elements—the weighting coefficients—the energy flow direction of the simulated echo can be adjusted, thus simulating the echo of a point target undergoing azimuth movement. For complex real-world targets, their scattered fields typically approximate as uniform plane waves in the far field, allowing for the use of a far-field scattering center model. However, when the target is closer to the radar, its scattering characteristics require description using near-field scattering centers. Target scattering centers can be categorized into several types, with distributed scattering centers being a significant one. In the near field, distributed scattering centers can be modeled, followed by weighted coefficient calculations for triplet simulations. However, near-field modeling of distributed scattering centers requires spherical wave integration over different planar regions of the target surface, resulting in a large computational burden and significantly limiting efficiency. Summary of the Invention

[0003] To address the low efficiency of existing RF simulations of near-field distributed scattering centers, this invention provides a method for determining the weighting coefficients in triplet simulations of distributed near-field scattering centers. The technical solution is as follows:

[0004] On the one hand, a method for determining the weighting coefficients in triplet simulation of distributed near-field scattering centers is provided, including:

[0005] Establish a mathematical coordinate system with the center point of the turntable as the origin;

[0006] Based on the established mathematical coordinate system, determine the position vectors of each point on the rectangular planar structure of the target;

[0007] Based on the position vectors of each point on the defined rectangular planar structure, the expression of the triplet weighting coefficients of each point on the rectangular planar structure is determined;

[0008] Based on the expression of the triplet weighting coefficients of each point on the defined rectangular planar structure, the triplet weighting coefficients of the entire rectangular planar structure are determined.

[0009] Furthermore, establishing a mathematical coordinate system with the center point of the turntable as the origin includes:

[0010] A rectangular coordinate system is established with the center point of the turntable as the origin; the ray pointing from the center point of the turntable to the center point of the antenna array is the positive X-axis, the straight line parallel to the bottom edge of the triplet is the Y-axis, and the position vector of the target point to be simulated is r. t =(x t ,y t ,z t ), x t >>y t ,z t The position vector of the i-th radiating element in the triplet is r. i =(x i ,y i ,z i ), i = 1, 2, 3.

[0011] Furthermore, determining the position vectors of each point on the rectangular planar structure of the target based on the established mathematical coordinate system includes:

[0012] Based on the established mathematical coordinate system, the coordinates of each point on the rectangular planar structure S are determined to be (x', y', R0), the position vector is r' = (x', y', R0), and the unit position vector is... Where r' is r t Specifically, -a / 2≤x'≤a / 2, -b / 2≤y'≤b / 2, the center of the rectangular plane is located in the direction of the center of the triplet, and the sides of the rectangular plane are parallel to the X-axis and Y-axis respectively, and a and b are the side lengths of the rectangular plane structure S.

[0013] Furthermore, the expression for determining the triplet weighting coefficients of each point on the rectangular planar structure based on the position vectors of each point on the determined rectangular planar structure includes:

[0014] Based on the amplitude centroid formula, the weighting coefficients of the radiating elements of the triplet corresponding to a point r' on the rectangular planar structure S are expressed as follows:

[0015]

[0016]

[0017]

[0018] in, Let r' be the unit position vector; r' = |r'|; c is the unit position vector of the i-th radiating element in the triplet, where i = 1, 2, 3; i Let r' be the weighting coefficient of the i-th radiating element of the triplet corresponding to a point r' on the rectangular planar structure S.

[0019] Furthermore, the triplet weighting coefficients of the entire rectangular planar structure are expressed as follows:

[0020]

[0021]

[0022]

[0023] Among them, C i is the weighting coefficient of the i-th radiating element in the triplet of the entire rectangular planar structure.

[0024] On the other hand, a computer-readable storage medium is provided, wherein at least one instruction is stored therein, the at least one instruction being loaded and executed by a processor to implement any of the methods for determining the weighting coefficients in the triplet simulation of the distributed near-field scattering centers described above.

[0025] The beneficial effects of the technical solutions provided in the embodiments of the present invention include at least the following:

[0026] In this embodiment, a mathematical coordinate system is established with the center point of the turntable as the origin. Based on the established mathematical coordinate system, the position vectors of each point on the rectangular planar structure on the target are determined. Based on the determined position vectors of each point on the rectangular planar structure, the expression of the triplet weighting coefficients of each point on the rectangular planar structure is determined. Based on the expression of the triplet weighting coefficients of each point on the rectangular planar structure, the triplet weighting coefficients of the entire rectangular planar structure can be determined more accurately and quickly, thereby improving the accuracy and efficiency of RF simulation of near-field distributed scattering centers. Attached Figure Description

[0027] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0028] Figure 1This is a flowchart of a method for determining the weighting coefficients in a triplet simulation of a distributed near-field scattering center provided by an embodiment of the present invention;

[0029] Figure 2 This is a schematic diagram of the xyz rectangular coordinate system provided in an embodiment of the present invention;

[0030] Figure 3 This is a schematic diagram of a rectangular planar structure on a target provided in an embodiment of the present invention. Detailed Implementation

[0031] The technical solution of the present invention will now be described with reference to the accompanying drawings.

[0032] In embodiments of the present invention, words such as "exemplarily," "for example," etc., are used to indicate that something is an example, illustration, or description. Any embodiment or design described as "exemplary" in the present invention should not be construed as being more preferred or advantageous than other embodiments or designs. Specifically, the use of the word "exemplary" is intended to present the concept in a concrete manner. Furthermore, in embodiments of the present invention, the meaning expressed by "and / or" can be both, or either one.

[0033] In the embodiments of this invention, the terms "image" and "picture" may sometimes be used interchangeably. It should be noted that, without emphasizing the distinction between them, their intended meanings are consistent. Similarly, the terms "of," "corresponding (relevant)," and "corresponding" may sometimes be used interchangeably. It should be noted that, without emphasizing the distinction between them, their intended meanings are consistent.

[0034] In this embodiment of the invention, sometimes a subscript such as W1 may be written in a non-subscript form such as W1. When the difference is not emphasized, the meaning they express is the same.

[0035] To make the technical problems, technical solutions and advantages of the present invention clearer, a detailed description will be given below in conjunction with the accompanying drawings and specific embodiments.

[0036] This invention provides a method for determining the weighting coefficients in a triplet simulation of distributed near-field scattering centers, such as... Figure 1 As shown, the processing flow of this method may include the following steps:

[0037] S1. Establish a mathematical coordinate system with the center point of the turntable as the origin;

[0038] In this embodiment, a rectangular coordinate system is established with the center point of the turntable as the origin; wherein, the ray pointing from the center point of the turntable to the center point of the antenna array is the positive X-axis, the straight line parallel to the bottom edge of the triplet is the Y-axis, and the position vector of the target point to be simulated is r. t=(x t ,y t ,z t ), x t >>y t ,z t The position vector of the i-th radiating element in the triplet is r. i =(x i ,y i ,z i ), i=1,2,3, such as Figure 2 As shown.

[0039] S2. Based on the established mathematical coordinate system, determine the position vectors of each point on the rectangular planar structure of the target;

[0040] In this embodiment, based on the established mathematical coordinate system, the coordinates of each point on the rectangular planar structure S are determined to be (x', y', R0), the position vector is r' = (x', y', R0), and the unit position vector is... Where r' is r t Specifically, -a / 2≤x'≤a / 2, -b / 2≤y'≤b / 2, the center of the rectangular plane is located along the direction of the center of the triplet, and the sides of the rectangular plane are parallel to the X-axis and Y-axis respectively. a and b are the side lengths of the rectangular plane structure S, such as... Figure 3 As shown.

[0041] S3. Based on the position vectors of each point on the defined rectangular plane structure, determine the expression of the triplet weighting coefficients of each point on the rectangular plane structure;

[0042] In this embodiment, based on the amplitude centroid formula, the weighting coefficients of each radiating element in the triplet corresponding to a point r' on the rectangular planar structure S are expressed as follows:

[0043]

[0044]

[0045]

[0046] in, Let r' be the unit position vector; r' = |r'|; c is the unit position vector of the i-th radiating element in the triplet, where i = 1, 2, 3; i Let r' be the weighting coefficient of the i-th radiating element of the triplet corresponding to a point r' on the rectangular planar structure S.

[0047] S4. Based on the expression of the triplet weighting coefficients of each point on the defined rectangular plane structure, determine the triplet weighting coefficients of the entire rectangular plane structure.

[0048] In this embodiment, the weighted coefficients of the triples for the entire rectangular planar structure are expressed as follows:

[0049]

[0050]

[0051]

[0052] Among them, C i denoted as the weighting coefficient of the i-th radiating element in the triplet of the entire rectangular planar structure S.

[0053] In this embodiment, radio frequency simulation of near-field distributed scattering centers is performed based on the determined triplet weighting coefficients of the entire rectangular planar structure.

[0054] In summary, the embodiments of the present invention establish a mathematical coordinate system with the center point of the turntable as the origin; based on the established mathematical coordinate system, the position vectors of each point on the rectangular planar structure on the target are determined; based on the determined position vectors of each point on the rectangular planar structure, the expression of the triplet weighting coefficients of each point on the rectangular planar structure is determined; based on the determined expression of the triplet weighting coefficients of each point on the rectangular planar structure, the triplet weighting coefficients of the entire rectangular planar structure can be determined more accurately and quickly, thereby improving the accuracy and efficiency of RF simulation of near-field distributed scattering centers.

[0055] The above embodiments can be implemented, in whole or in part, by software, hardware (such as circuits), firmware, or any other combination thereof. When implemented using software, the above embodiments can be implemented, in whole or in part, as a computer program product. The computer program product includes one or more computer instructions or computer programs. When the computer instructions or computer programs are loaded or executed on a computer, all or part of the processes or functions described in the embodiments of the present invention are generated. The computer can be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions can be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another. For example, the computer instructions can be transmitted from one website, computer, server, or data center to another website, computer, server, or data center via wired (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium can be any available medium that a computer can access or a data storage device such as a server or data center that includes one or more sets of available media. The available medium can be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium. A semiconductor medium can be a solid-state drive.

[0056] It should be understood that the term "and / or" in this article is merely a description of the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent: A alone, A and B simultaneously, or B alone. A and B can be singular or plural. Additionally, the character " / " in this article generally indicates an "or" relationship between the preceding and following related objects, but it can also represent an "and / or" relationship. Please refer to the context for a more accurate understanding.

[0057] In this invention, "at least one" means one or more, and "more than one" means two or more. "At least one of the following" or similar expressions refer to any combination of these items, including any combination of a single item or a plurality of items. For example, at least one of a, b, or c can represent: a, b, c, ab, ac, bc, or abc, where a, b, and c can be a single item or multiple items.

[0058] It should be understood that, in various embodiments of the present invention, the order of the above-mentioned process numbers does not imply the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of the present invention.

[0059] Those skilled in the art will recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementations should not be considered beyond the scope of this invention.

[0060] Those skilled in the art will clearly understand that, for the sake of convenience and brevity, the specific working processes of the devices, apparatuses, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.

[0061] In the several embodiments provided by this invention, it should be understood that the disclosed devices, apparatuses, and methods can be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative; for instance, the division of units is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another device, or some features may be ignored or not executed. Furthermore, the coupling or direct coupling or communication connection shown or discussed may be through some interfaces; the indirect coupling or communication connection between devices or units may be electrical, mechanical, or other forms.

[0062] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.

[0063] In addition, the functional units in the various embodiments of the present invention can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit.

[0064] If the aforementioned functions are implemented as software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0065] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method for determining the weighting coefficients in a triplet simulation of distributed near-field scattering centers, characterized in that, The method includes: Establish a mathematical coordinate system with the center point of the turntable as the origin; Based on the established mathematical coordinate system, determine the position vectors of each point on the rectangular planar structure of the target; Based on the position vectors of each point on the defined rectangular planar structure, the expression of the triplet weighting coefficients of each point on the rectangular planar structure is determined; Based on the expression of the triplet weighting coefficients of each point on the defined rectangular planar structure, the triplet weighting coefficients of the entire rectangular planar structure are determined.

2. The method for determining the weighting coefficients in the triplet simulation of distributed near-field scattering centers according to claim 1, characterized in that, The establishment of a mathematical coordinate system with the center point of the turntable as the origin includes: A rectangular coordinate system is established with the center point of the turntable as the origin; the ray pointing from the center point of the turntable to the center point of the antenna array is the positive X-axis, the straight line parallel to the bottom edge of the triplet is the Y-axis, and the position vector of the target point to be simulated is r. t =(x t ,y t ,z t ), x t >>y t ,z t The position vector of the i-th radiating element in the triplet is r. i =(x i ,y i ,z i ), i = 1, 2, 3.

3. The method for determining the weighting coefficients in the triplet simulation of distributed near-field scattering centers according to claim 1, characterized in that, The determination of the position vectors of each point on the rectangular planar structure of the target, based on the established mathematical coordinate system, includes: Based on the established mathematical coordinate system, the coordinates of each point on the rectangular planar structure S are determined to be (x', y', R0), the position vector is r' = (x', y', R0), and the unit position vector is... Where r' is r t Specifically, -a / 2≤x'≤a / 2, -b / 2≤y'≤b / 2, the center of the rectangular plane is located in the direction of the center of the triplet, and the sides of the rectangular plane are parallel to the X-axis and Y-axis respectively, and a and b are the side lengths of the rectangular plane structure S.

4. The method for determining the weighting coefficients in the triplet simulation of distributed near-field scattering centers according to claim 1, characterized in that, The expression for determining the triplet weighting coefficients of each point on the rectangular planar structure based on the position vectors of each point on the defined rectangular planar structure includes: Based on the amplitude centroid formula, the weighting coefficients of the radiating elements of the triplet corresponding to a point r' on the rectangular planar structure S are expressed as follows: in, Let r' be the unit position vector; r' = |r'|′; c is the unit position vector of the i-th radiating element in the triplet, where i = 1, 2, 3; i Let r' be the weighting coefficient of the i-th radiating element of the triplet corresponding to a point r' on the rectangular planar structure S.

5. The method for determining the weighting coefficients in the triplet simulation of distributed near-field scattering centers according to claim 4, characterized in that, The triplet weighting coefficients of the entire rectangular planar structure are expressed as follows: Among them, C i is the weighting coefficient of the i-th radiating element in the triplet of the entire rectangular planar structure.

6. A computer-readable storage medium, characterized in that, The computer-readable storage medium contains program code that can be invoked by a processor to execute the method as described in any one of claims 1 to 5.