Method and device for determining feed coefficients of a semi-physical radio frequency simulation triad of a point target

By using the solid volume ratio of unit displacement vector to calculate the feed coefficient, the problem of large calculation error in the feed coefficient in the prior art is solved, and higher precision hardware-in-the-loop RF simulation is achieved.

CN116359621BActive Publication Date: 2026-05-15UNIV OF SCI & TECH BEIJING
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
UNIV OF SCI & TECH BEIJING
Filing Date
2023-03-23
Publication Date
2026-05-15

AI Technical Summary

Technical Problem

In existing hardware-in-the-loop (HIL) RF simulations, the calculation method for the ternary feed coefficient has directional representation errors. In particular, linear interpolation in the two-dimensional angular domain cannot accurately express the line-of-sight direction of a point target, resulting in insufficient simulation accuracy.

Method used

The feed coefficient is calculated by using the ratio of the solid volume spanned by the unit displacement vector. By determining the unit displacement vector of the target point and the three-element radiating element relative to the center of the three-axis flight turntable, the volume of multiple tetrahedrons is calculated, thereby determining the feed coefficient of each radiating element of the three-element radiating element.

Benefits of technology

It improves the calculation accuracy of the power supply coefficient, reduces the dependence on the specific coordinate system selection, clarifies the physical meaning, and makes the calculation results more accurate.

✦ Generated by Eureka AI based on patent content.

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Abstract

The application provides a kind of point target's semi-physical radio frequency simulation triad feed coefficient determination method and device, belongs to semi-physical radio frequency simulation technical field.The method comprises: determining the unit displacement vector of the point target to be simulated relative to the center of three-axis flight turntable;Determine the unit displacement vector of each radiation unit of triad relative to the center of three-axis flight turntable;Determine the volume of multiple tetrahedrons formed by the unit displacement vector of the point target to be simulated and each radiation unit of triad relative to the center of three-axis flight turntable;Using the ratio of the volume of the obtained tetrahedron, determine the feed coefficient of each radiation unit of triad.By using the application, the ratio of the volume of the three-dimensional volume formed by the unit displacement vector can be used to calculate the feed coefficient, thereby improving the calculation accuracy of the feed coefficient, and not dependent on the selection of specific coordinate system.
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Description

Technical Field

[0001] This invention relates to the field of hardware-in-the-loop (HIL) radio frequency (RF) simulation technology, and in particular to a method and apparatus for determining the feed coefficient of a point target HIL simulating a triplet. Background Technology

[0002] Testing is essential in the research and development of electronic systems. However, field testing is time-consuming and labor-intensive, and some electromagnetic environments are difficult to replicate. Therefore, hardware-in-the-loop (HIL) simulation is adopted, which involves introducing the physical electronic system under test into the simulation link to perform physical-in-the-loop simulation. HIL simulation offers higher cost-effectiveness and better control over the electromagnetic environment, and has gained increasing attention.

[0003] In hardware-in-the-loop (HIL) RF simulation, an antenna radiating array wall, a three-axis flight turntable, a radar signal generator, and a computer control system are typically set up in a microwave anechoic chamber. Antenna radiating elements are uniformly distributed on the antenna array wall. Three adjacent radiating elements form an equilateral triangle, becoming a triplet. To simulate the echo of a point target in a certain direction, the three radiating elements of the triplet are simultaneously fed to radiate signals. The radiated fields of the three elements are superimposed at the turntable, and the energy flow direction of the composite field is the same as the echo energy flow direction of the point target being simulated. Simultaneously, the feed voltage values ​​of the three radiating elements in the triplet can be changed to control the energy flow direction of the composite field, thus achieving the purpose of simulating the echo of a moving point target.

[0004] A common method for calculating the feed coefficient of three radiating elements is using the amplitude centroid formula. The amplitude centroid formula is a linear interpolation of the angle. In the two-dimensional angular domain, the weight of the interpolation is proportional to the area of ​​the triangle formed by the angular positions of the target point and two of the radiating elements, such as... Figure 1 As shown, Figure 1 In this diagram, 1 represents radiating element 1, 2 represents radiating element 2, 3 represents radiating element 3, t represents the point target to be simulated, and s1, s2, and s3 represent the areas of Δ23t, Δt31, and Δ12t, respectively. However, this linear interpolation in the two-dimensional angular domain will introduce errors in direction representation. Strictly speaking, the line-of-sight direction of the point target should be expressed using the unit position vector from the turntable center point to the point target, and the line-of-sight direction of each radiating element in the triplet should be expressed using the unit position vector from the turntable center point to the radiating element. Summary of the Invention

[0005] This invention provides a method and apparatus for determining the feed coefficient of a point target using a hardware-in-the-loop radio frequency simulation triplet. It can calculate the feed coefficient using the ratio of the solid volume spanned by a unit displacement vector, thereby improving the calculation accuracy of the feed coefficient, and is independent of the choice of a specific coordinate system. The technical solution is as follows:

[0006] On the one hand, a method for determining the feed coefficient of a point target using a semi-physical RF simulation triplet is provided. This method is applied to electronic devices and includes:

[0007] Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable;

[0008] Determine the unit displacement vector of each radiating element of the triplet relative to the center of the triaxial flight turntable;

[0009] Determine the volume of the multiple tetrahedrons spanned by the unit displacement vectors of the target point to be simulated and each radiating element of the triplet relative to the center of the three-axis flight turntable;

[0010] The feed coefficient of each radiating element in the ternary set is determined by using the volume ratio of the obtained tetrahedrons.

[0011] Furthermore, determining the unit displacement vector of the simulated point target relative to the center of the three-axis flight turntable includes:

[0012] A rectangular coordinate system of xyz is established with the center point of the three-axis flight turntable as the origin O; wherein, the ray pointing from the center point of the three-axis flight 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 z-axis is determined by the right-hand screw of the xy-axis.

[0013] The position vector of the target point to be simulated is obtained as r. t =(x t ,y t ,z t ), x t >>y t ,z t Based on the obtained position vector r t Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable.

[0014] Further, determining the unit displacement vector of each radiation element of the ternary group relative to the center of the three-axis flight turntable includes:

[0015] Obtain the position vectors of the three radiating elements of the triplet as r i =(x i ,y i ,z i ), x i >>y i ,z i , i = 1, 2, 3; where r i This represents the position vector of the i-th radiating element;

[0016] Based on the obtained position vector r iDetermine the unit displacement vector of each radiation element relative to the center of the three-axis flight turntable.

[0017] Furthermore, the determination of the volume of the multiple tetrahedrons spanned by the unit displacement vectors of the target point to be simulated and each radiating element of the triplet relative to the center of the three-axis flight turntable includes:

[0018] Calculate the volume of the tetrahedron formed by the four unit displacement vector endpoints of the target point and each radiating element of the triplet relative to the center of the three-axis flight turntable, together with the center of the three-axis flight turntable.

[0019] Furthermore, the magnitude E of the radiation field of a certain radiating unit in the triplet i The ratio of the radiation field magnitudes of each radiation unit at the center of the three-axis flight turntable is proportional to the volume of the tetrahedron formed by the unit displacement vector endpoints of the other two radiation units relative to the center of the three-axis flight turntable, the unit displacement vector endpoints of the target to be simulated relative to the center of the three-axis flight turntable, and the center point of the three-axis flight turntable. In other words, the ratio of the radiation field magnitudes of each radiation unit at the three-axis flight turntable is equal to the ratio of the corresponding volumes.

[0020] On the one hand, a device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet is provided, comprising:

[0021] The first determining unit is used to determine the unit displacement vector of the point target to be simulated relative to the center of the three-axis flight turntable;

[0022] The second determining unit is used to determine the unit displacement vector of each radiation unit of the triplet relative to the center of the triaxial flight turntable.

[0023] The third determining unit determines the volume of multiple tetrahedrons spanned by the unit displacement vectors of the target point to be simulated and each radiation unit of the triplet relative to the center of the three-axis flight turntable.

[0024] The fourth determining unit is used to determine the feeding coefficient of each radiating unit in the ternary group by using the volume ratio of the obtained tetrahedrons.

[0025] Further, the first determining unit is specifically used to establish an xyz rectangular coordinate system with the center point of the three-axis flight turntable as the origin O; wherein, the ray pointing from the center point of the three-axis flight 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 z-axis is determined by the right-hand screw of the xy-axis; and the position vector of the target point to be simulated is obtained as r. t =(x t ,y t ,z t ), x t >>y t ,z t Based on the obtained position vector rt Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable.

[0026] Furthermore, the second determining unit is specifically used to obtain the position vectors r of the three radiating units of the triplet. i =(x i ,y i ,z i ), x i >>y i ,z i , i = 1, 2, 3; where r i This represents the position vector of the i-th radiating element; based on the obtained position vector r i Determine the unit displacement vector of each radiation element relative to the center of the three-axis flight turntable.

[0027] Furthermore, the third determining unit is specifically used to calculate the volume of the tetrahedron formed by the combination of all three endpoints of the four unit displacement vector endpoints of the target point to be simulated and each radiation unit of the triplet relative to the center of the three-axis flight turntable, together with the center of the three-axis flight turntable.

[0028] Furthermore, the magnitude E of the radiation field of a certain radiating unit in the triplet i The ratio of the radiation field magnitudes of each radiation unit at the center of the three-axis flight turntable is proportional to the volume of the tetrahedron formed by the unit displacement vector endpoints of the other two radiation units relative to the center of the three-axis flight turntable, the unit displacement vector endpoints of the target to be simulated relative to the center of the three-axis flight turntable, and the center point of the three-axis flight turntable. In other words, the ratio of the radiation field magnitudes of each radiation unit at the three-axis flight turntable is equal to the ratio of the corresponding volumes.

[0029] On one hand, an electronic device is provided, comprising a processor and a memory, wherein the memory stores at least one instruction, which is loaded and executed by the processor to achieve the above-mentioned point target, a method for determining the feed coefficient of a hardware-in-the-loop radio frequency simulation triplet.

[0030] On the one hand, a computer-readable storage medium is provided, wherein at least one instruction is stored in the storage medium, and the at least one instruction is loaded and executed by a processor to achieve the above-mentioned point target, which is a method for determining the feed coefficient of a hardware-in-the-loop radio frequency simulation triplet.

[0031] The beneficial effects of the technical solutions provided in the embodiments of the present invention include at least the following:

[0032] In this embodiment of the invention, the unit displacement vector of the simulated point target relative to the center of the triaxial flight turntable is determined; the unit displacement vector of each radiating element of the triplet relative to the center of the triaxial flight turntable is determined; the volume of the multiple tetrahedrons spanned by the unit displacement vectors of the simulated point target and each radiating element of the triplet relative to the center of the triaxial flight turntable is determined; and the feed coefficient of each radiating element of the triplet is determined by using the ratio of the obtained tetrahedron volumes. Using this invention, the feed coefficient can be calculated using the ratio of the solid volumes spanned by the unit displacement vectors, thereby improving the calculation accuracy of the feed coefficient, and is independent of the choice of a specific coordinate system. Attached Figure Description

[0033] 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.

[0034] Figure 1 This is a schematic diagram illustrating the area ratio of the traditional amplitude centroid formula;

[0035] Figure 2 A flowchart illustrating the method for determining the feed coefficient of a point target using a hardware-in-the-loop radio frequency simulation tripartite, as provided in an embodiment of the present invention.

[0036] Figure 3 This is a schematic diagram of the coordinate system provided in an embodiment of the present invention;

[0037] Figure 4 A schematic diagram of volume ratios provided for embodiments of the present invention;

[0038] Figure 5 A schematic diagram of the device for determining the feed coefficient of a point target using a semi-physical radio frequency simulation triplet provided in an embodiment of the present invention;

[0039] Figure 6 This is a schematic diagram of the structure of an electronic device provided in an embodiment of the present invention. Detailed Implementation

[0040] To make the objectives, technical solutions, and advantages of the present invention clearer, the embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.

[0041] like Figure 2 As shown, this embodiment of the invention provides a method for determining the feed coefficient of a point target using a hardware-in-the-loop radio frequency simulation triplet. This method can be implemented by an electronic device, which can be a terminal or a server. The method includes:

[0042] S101, Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable; this may specifically include the following steps:

[0043] A1. Establish a rectangular coordinate system (xyz) with the center point of the three-axis flight turntable as the origin O; wherein, the ray pointing from the center point of the three-axis flight 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 z-axis is determined by the right-hand screw of the xy-axis, as follows. Figure 3 As shown;

[0044] A2, obtain the position vector of the target point to be simulated as r. t =(x t ,y t ,z t ), x t >>y t ,z t Based on the obtained position vector r t Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable.

[0045]

[0046] This allows for a full representation of the line of sight from the origin to the target point, where...

[0047]

[0048]

[0049]

[0050] S102, determine the unit displacement vector of each radiation element in the triplet relative to the center of the three-axis flight turntable; specifically, this may include the following steps:

[0051] B1, obtain the position vectors of the three radiating elements of the triplet as r i =(x i ,y i ,z i ), x i >>y i ,z i , i = 1, 2, 3; where r i This represents the position vector of the i-th radiating element (i.e., radiating element i);

[0052] B2, based on the obtained position vector r i Determine the unit displacement vector of each radiation element relative to the center of the triaxial flight turntable.

[0053]

[0054] In this way, the line-of-sight direction from the origin of the coordinate system to the corresponding radiating element can be fully expressed, where,

[0055]

[0056]

[0057]

[0058] S103, determine the volume of the multiple tetrahedrons spanned by the unit displacement vectors of the point target to be simulated and each radiating element of the triplet relative to the center of the three-axis flight turntable, such as Figure 4 As shown, Figure 4 In this context, 1 represents radiation element 1, 2 represents radiation element 2, 3 represents radiation element 3, and t represents the target point to be simulated.

[0059] In this embodiment, the volume of the tetrahedron formed by the four unit displacement vector endpoints of the target point and each radiating element of the triplet relative to the center of the three-axis flight turntable and the center of the three-axis flight turntable is calculated.

[0060] In this embodiment, it is proposed to use the unit displacement vector of the three radiating elements of the triplet relative to the center of the triaxial flight turntable. and the unit displacement vector of the simulated point target relative to the center of the three-axis flight turntable. Here is the formula for the amplitude and center of gravity:

[0061]

[0062] Among them, E i This represents the magnitude of the radiation field in the i-th radiating unit;

[0063] because Each component is equivalent to the coordinates of the i-th radiating unit in a distance-normalized Cartesian coordinate system. Therefore, the amplitude centroid formula in the above equation is a linear interpolation of the spatial position of each unit in the triplet, rather than a linear interpolation of the angular position mentioned above.

[0064] The magnitude of the radiation field of each radiation unit is given below based on the centroid formula (9). Equation (9) is denoted as...

[0065]

[0066] Among them, C i This is called the feed coefficient of the i-th radiating element, which is proportional to the radiation field size E. i ;but

[0067]

[0068] in,

[0069]

[0070] but

[0071]

[0072] The expressions for C2 and C3 follow the same pattern.

[0073] When the point target is within the triplet, the tetrahedral volume

[0074]

[0075]

[0076] Among them, V t23 The volume of the tetrahedron formed by the endpoints of the unit displacement vectors of the target point relative to the center of the triaxial flight turntable, the endpoints of the unit displacement vectors of the radiating element 2 relative to the center of the triaxial flight turntable, the endpoints of the unit displacement vectors of the radiating element 3 relative to the center of the triaxial flight turntable, and the origin O. The meanings of other parameters follow the same logic.

[0077] In this application, V is obtained according to the above method. 1t3 and V 12t Thus, the inverse operation described in equation (11) is transformed into a volume calculation, and C is then obtained. i .

[0078] S104. Using the volume ratio of the obtained tetrahedrons, the feed coefficient of each radiating element in the ternary group is determined.

[0079] In this embodiment, the feed coefficient C of the radiating element is... i Represented as:

[0080]

[0081]

[0082]

[0083] Due to the curvature of the sphere, the volume V t23 V 1t3 V 12t The sum is not strictly equal to V 123 Therefore, equations (16)-(18) give C i Their sum is not strictly equal to 1.

[0084] When the target point to be simulated is outside the triplet, the weighting coefficients calculated by equations (16)-(18) may be negative.

[0085] In this embodiment, the radiation field size of a certain radiation unit in the triplet is proportional to the volume of the tetrahedron formed by the unit displacement vector endpoint of the other two radiation units relative to the center of the three-axis flight turntable, the unit displacement vector endpoint of the target to be simulated relative to the center of the three-axis flight turntable, and the center point of the three-axis flight turntable. That is, the ratio of the radiation field size of each radiation unit at the three-axis flight turntable is equal to the ratio of the corresponding volumes.

[0086] From equations (16)-(18), we can obtain:

[0087] C1:C2:C3=E1:E2:E3=V t23 :V 1t3 :V 12t (19)

[0088] The method for determining the feed coefficient of a point target using a hardware-in-the-loop RF simulation triplet, as described in this embodiment of the invention, has at least the following beneficial effects:

[0089] 1) Compared with the existing angle-based amplitude center formula, this embodiment of the invention proposes a new volume-based method for calculating the feed coefficient. The feed coefficient is calculated using the ratio of volumes, which is more accurate than the feed coefficient calculation method using the ratio of areas. It does not depend on the specific choice of coordinate system because it only involves relative displacement relationships.

[0090] 2) The ratio of the solid volumes spanned by the unit displacement vectors of the target point and each radiating element of the triplet relative to the center of the three-axis flight turntable is used instead of the ratio of the areas in the two-dimensional angular domain plane to give the ratio of the magnitude of the radiation field of each radiating element at the turntable; in this way, the calculation is based on the unit displacement vectors of the target and the radiating elements of the triplet, and the physical meaning is clearer and the expression is more accurate.

[0091] This invention also provides a specific embodiment of a device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet. Since the device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet provided by this invention corresponds to the specific embodiment of the aforementioned method for determining the feed coefficient of a point target using a semi-physical RF simulation triplet, the device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet can achieve the purpose of this invention by executing the process steps in the above-mentioned method specific embodiment. Therefore, the explanations and descriptions in the above-mentioned method specific embodiment for determining the feed coefficient of a point target using a semi-physical RF simulation triplet are also applicable to the specific embodiment of the device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet provided by this invention, and will not be repeated in the following specific embodiments of this invention.

[0092] like Figure 5 As shown, this embodiment of the invention also provides a device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet, comprising:

[0093] The first determining unit 11 is used to determine the unit displacement vector of the point target to be simulated relative to the center of the three-axis flight turntable;

[0094] The second determining unit 12 is used to determine the unit displacement vector of each radiation unit of the triplet relative to the center of the triaxial flight turntable.

[0095] The third determining unit 13 determines the volume of multiple tetrahedrons spanned by the unit displacement vector of each radiation unit of the triplet relative to the center of the three-axis flight turntable.

[0096] The fourth determining unit 14 is used to determine the feeding coefficient of each radiating unit in the ternary group by using the volume ratio of the obtained tetrahedrons.

[0097] The device for determining the feed coefficient of a triplet in a semi-physical RF simulation of a point target, as described in this embodiment of the invention, determines the unit displacement vector of the point target to be simulated relative to the center of a three-axis flight turntable; determines the unit displacement vector of each radiating element of the triplet relative to the center of the three-axis flight turntable; determines the volume of multiple tetrahedrons spanned by the unit displacement vectors of the point target to be simulated and each radiating element of the triplet relative to the center of the three-axis flight turntable; and determines the feed coefficient of each radiating element of the triplet by using the ratio of the obtained tetrahedron volumes. Using this invention, the feed coefficient can be calculated using the ratio of the solid volumes spanned by the unit displacement vectors, thereby improving the calculation accuracy of the feed coefficient, and is independent of the choice of a specific coordinate system.

[0098] In a specific embodiment of the aforementioned device for determining the feed coefficient of a triplet in a semi-physical RF simulation of a point target, the first determining unit is further configured to establish an xyz rectangular coordinate system with the center point of the three-axis flight turntable as the origin O; wherein the ray pointing from the center point of the three-axis flight 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 z-axis is determined by the right-hand screw of the xy-axis; and the position vector of the point target to be simulated is obtained as r. t =(x t ,y t ,z t ), x t >>y t ,z t Based on the obtained position vector r t Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable.

[0099] In the specific implementation of the aforementioned hardware-in-the-loop RF simulation triplet feed coefficient determination device for point targets, the second determining unit is further used to obtain the position vector r of the three radiating elements of the triplet. i =(x i ,y i ,z i ), x i >>y i ,z i , i = 1, 2, 3; where r i This represents the position vector of the i-th radiating element; based on the obtained position vector r i Determine the unit displacement vector of each radiation element relative to the center of the three-axis flight turntable.

[0100] In a specific implementation of the aforementioned device for determining the feed coefficient of a point target in a semi-physical RF simulation tripartite, the third determining unit is further used to calculate the volume of the tetrahedron formed by the combination of all three endpoints of the point target to be simulated and each radiation unit of the tripartite relative to the center of the three-axis flight turntable and the center of the three-axis flight turntable.

[0101] In the specific implementation of the aforementioned hardware-in-the-loop RF simulation triplet feed coefficient determination device for point targets, further, the radiation field magnitude E of a certain radiating element of the triplet is... i The ratio of the radiation field magnitudes of each radiation unit at the center of the three-axis flight turntable is proportional to the volume of the tetrahedron formed by the unit displacement vector endpoints of the other two radiation units relative to the center of the three-axis flight turntable, the unit displacement vector endpoints of the target to be simulated relative to the center of the three-axis flight turntable, and the center point of the three-axis flight turntable. In other words, the ratio of the radiation field magnitudes of each radiation unit at the three-axis flight turntable is equal to the ratio of the corresponding volumes.

[0102] Figure 6 This is a schematic diagram of the structure of an electronic device 600 provided in an embodiment of the present invention. The electronic device 600 may vary considerably due to different configurations or performance. It may include one or more central processing units (CPUs) 601 and one or more memories 602. The memory 602 stores at least one instruction, which is loaded and executed by the processor 601 to achieve the above-mentioned method for determining the feed coefficient of a hardware-in-the-loop radio frequency simulation triplet for the point target.

[0103] In an exemplary embodiment, a computer-readable storage medium is also provided, such as a memory including instructions that can be executed by a processor in a terminal to complete the above-described method for determining the feed coefficient of a triplet in a hardware-in-the-loop radio frequency simulation. For example, the computer-readable storage medium may be a ROM, random access memory (RAM), CD-ROM, magnetic tape, floppy disk, or optical data storage device.

[0104] Those skilled in the art will understand that all or part of the steps of the above embodiments can be implemented by hardware or by a program instructing related hardware. The program can be stored in a computer-readable storage medium, such as a read-only memory, a disk, or an optical disk.

[0105] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for determining the feed coefficient of a point target using a hardware-in-the-loop radio frequency simulation triplet, characterized in that, include: Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable; Determine the unit displacement vector of each radiating element of the triplet relative to the center of the triaxial flight turntable; Determine the volume of the multiple tetrahedrons spanned by the unit displacement vectors of the target point to be simulated and each radiating element of the triplet relative to the center of the three-axis flight turntable; The feed coefficient of each radiating element in the triplet is determined by using the volume ratio of the obtained tetrahedrons. The volume of the multiple tetrahedrons spanned by the unit displacement vectors of the target point to be simulated and each radiating element of the triplet relative to the center of the three-axis flight turntable includes: Calculate the volume of the tetrahedron formed by the four unit displacement vector endpoints of the target point and each radiating element of the triplet relative to the center of the three-axis flight turntable, and the center of the three-axis flight turntable. Among them, the radiation field size of a certain radiating unit in the triplet The ratio of the radiation field magnitudes of each radiation unit at the center of the three-axis flight turntable is proportional to the volume of the tetrahedron formed by the unit displacement vector endpoints of the other two radiation units relative to the center of the three-axis flight turntable, the unit displacement vector endpoints of the target to be simulated relative to the center of the three-axis flight turntable, and the center point of the three-axis flight turntable. In other words, the ratio of the radiation field magnitudes of each radiation unit at the three-axis flight turntable is equal to the ratio of the corresponding volumes.

2. The method for determining the feed coefficient of a point target using a hardware-in-the-loop RF simulation triplet according to claim 1, characterized in that, The determination of the unit displacement vector of the simulated point target relative to the center of the three-axis flight turntable includes: Establish a coordinate system with the center point of the three-axis flight turntable as the origin O. xyz A rectangular coordinate system; wherein, the ray pointing from the center point of the three-axis flight turntable to the center point of the antenna array is defined as... x The positive axis, with a straight line parallel to the bottom edge of the triplet as... y axis, z Shaft xy The axis is determined by the right-hand screw; The position vector of the target point to be simulated is obtained as follows: , Based on the obtained position vector Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable.

3. The method for determining the feed coefficient of a point target using a hardware-in-the-loop RF simulation triplet according to claim 1, characterized in that, The determination of the unit displacement vector of each radiation element of the triplet relative to the center of the triaxial flight turntable includes: The position vectors of the three radiating elements of the triplet are obtained as follows: , , ;in, Indicates the first The position vector of each radiating element; Based on the obtained position vector Determine the unit displacement vector of each radiation element relative to the center of the three-axis flight turntable.

4. A device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet, characterized in that, include: The first determining unit is used to determine the unit displacement vector of the point target to be simulated relative to the center of the three-axis flight turntable; The second determining unit is used to determine the unit displacement vector of each radiation unit of the triplet relative to the center of the triaxial flight turntable. The third determining unit determines the volume of multiple tetrahedrons spanned by the unit displacement vectors of the target point to be simulated and each radiation unit of the triplet relative to the center of the three-axis flight turntable. The fourth determining unit is used to determine the feeding coefficient of each radiating unit in the triplet by using the volume ratio of the obtained tetrahedrons. Specifically, the third determining unit is used to calculate the volume of the tetrahedron formed by the four unit displacement vector endpoints of the target point to be simulated and each radiation unit of the triplet relative to the center of the three-axis flight turntable and the center of the three-axis flight turntable. Among them, the radiation field size of a certain radiating unit in the triplet The ratio of the radiation field magnitudes of each radiation unit at the center of the three-axis flight turntable is proportional to the volume of the tetrahedron formed by the unit displacement vector endpoints of the other two radiation units relative to the center of the three-axis flight turntable, the unit displacement vector endpoints of the target to be simulated relative to the center of the three-axis flight turntable, and the center point of the three-axis flight turntable. In other words, the ratio of the radiation field magnitudes of each radiation unit at the three-axis flight turntable is equal to the ratio of the corresponding volumes.

5. The device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet as described in claim 4, characterized in that, The first determining unit is specifically used to establish a coordinate system with the center point of the three-axis flight turntable as the origin O. xyz A rectangular coordinate system; wherein, the ray pointing from the center point of the three-axis flight turntable to the center point of the antenna array is defined as... x The positive axis, with a straight line parallel to the bottom edge of the triplet as... y axis, z Shaft xy The right-hand screw of the axis is used to determine the position vector of the target point to be simulated. , Based on the obtained position vector Determine the unit displacement vector of the target point to be simulated relative to the center of the three-axis flight turntable.

6. The device for determining the feed coefficient of a point target using a semi-physical RF simulation triplet according to claim 4, characterized in that, The second determining unit is specifically used to obtain the position vectors of the three radiating units of the triplet. , , ;in, Indicates the first The position vector of each radiation unit; based on the obtained position vector Determine the unit displacement vector of each radiation element relative to the center of the three-axis flight turntable.