A method and system for testing radio detection performance based on target equivalent cooperation

Abstract

This invention discloses a method and system for testing radio detection performance based on target equivalence coordination, relating to the field of radio detection technology. The method includes acquiring information about the radio detection device under test and acquiring preset detection target information based on application scenario information. This invention achieves accurate determination of point / area targets through target classification; it suppresses outliers and calculates accurately by matching the median absolute deviation with a robust weighting function based on target type; it achieves accurate matching of the detection distribution with the echo characteristics of the real target by adapting the chi-square detection distribution model and weighted maximum likelihood estimation according to target type; and it achieves high-precision equivalent replication of the real target's RCS by matching area targets with metal triangular reflectors and point targets with metal spheres, and by using signal-to-noise ratio calculation to solve for the equivalent size. This ensures the authenticity and accuracy of radio detection performance testing.

Description

Technical Field

[0001] This invention relates to the field of radio detection technology, specifically to a method and system for testing radio detection performance based on target equivalent cooperation. Background Technology

[0002] Radio detection performance testing is a core verification step in evaluating the detection sensitivity, range, echo recognition capability, and operational reliability of radio detection equipment. It is an essential technical means for equipment development finalization, factory acceptance, field calibration, and tactical specification determination. Therefore, simulation testing based on target equivalent coordination has become the only repeatable, low-cost, safe, and controllable performance testing method. The accuracy of the equivalent simulation directly determines whether the test results can truly reflect the equipment's detection capability against actual targets, and it has irreplaceable engineering value in ensuring equipment performance meets standards and improving operational applicability.

[0003] Currently, radio detection performance testing still faces several challenges, including the inability to accurately analyze the target, the inability to accurately detect the target's RCS value, the frequent use of equivalent models leading to severe mismatch with the actual target characteristics, mismatched detection distribution models, the mixing of probability distribution models for area and point targets, the failure to adopt appropriate distribution functions for different target types, the lack of coordinated correlation in the calculation of equivalent target parameters, and the failure to link the size parameters of equivalent devices such as metal triangular reflectors and metal spheres with signal-to-noise ratio, test distance, and reference RCS, resulting in large deviations in the equivalent RCS. These issues negatively impact the stability and reliability of radio detection performance test results. Summary of the Invention

[0004] To address the aforementioned technical problems, this paper provides a radio detection performance testing method and system based on target equivalent coordination. This technical solution solves the problems mentioned in the background art, such as the inability to accurately analyze the detection target, the inability to accurately detect the target's RCS value, the common use of a uniform equivalent model leading to a serious mismatch with the real target characteristics, the mismatch of the detection distribution model, the mixing of probability distribution models for area targets and point targets, the failure to adopt appropriate distribution functions for different target types, the lack of coordination in the calculation of equivalent target parameters, and the failure to link the size parameters of equivalent devices such as metal triangular reflectors and metal spheres with the signal-to-noise ratio, test distance, and reference RCS, resulting in large equivalent RCS deviations, which affect the stability and reliability of radio detection performance test results.

[0005] To achieve the above objectives, the technical solution adopted by the present invention is as follows:

[0006] A method for testing radio detection performance based on target equivalent cooperation includes:

[0007] Acquire information about the radio detection device under test, including the operating parameters and application scenario information of the radio detection device;

[0008] Based on the application scenario information, preset detection target information is obtained, including the geometric dimensions and motion characteristics of the detection target;

[0009] Based on the preset target information, obtain the historical detection data corresponding to the target, including the historical detection distance and the historical echo power corresponding to the target;

[0010] Based on the preset target information, obtain the target type information;

[0011] Based on the target type information and historical detection data, equivalent simulation information is obtained.

[0012] Based on equivalent simulation information and a preset test distance, radio detection performance is tested.

[0013] Preferably, obtaining the target type information based on historical detection data corresponding to the target specifically includes:

[0014] Based on the target information, obtain the target's height above the ground, projected area, and aspect ratio;

[0015] Based on information from radio detection equipment, height threshold information is obtained, which represents the maximum height threshold for ground target identification.

[0016] Based on the height threshold information and the target's altitude information, the detected targets are divided into ground-bound targets and non-ground-bound targets. Non-ground-bound targets are classified as the third type of target.

[0017] For ground-bound targets, based on their projected area and aspect ratio, they are divided into planar extended targets and compact single targets. Compact single targets are classified as the first type of target, and planar extended targets are classified as the second type of target.

[0018] Among them, the first type of target and the third type of target correspond to point targets, and the second type of target corresponds to area targets.

[0019] Preferably, the step of obtaining equivalent simulation information based on the target type information and historical detection data specifically includes:

[0020] Based on the target type information, the corresponding detection distribution model is obtained according to the chi-square distribution.

[0021] Based on the operating parameters of the radio detection equipment, obtain the transmit power, transmit antenna gain, receive antenna gain, operating wavelength, system loss, and noise bandwidth;

[0022] Based on historical detection data and RCS calculation, historical RCS data sequences are obtained.

[0023] Use the median of the historical RCS data series as the RCS median value;

[0024] An absolute deviation sequence is constructed based on the absolute value of the difference between each data point in the historical RCS data sequence and the RCS median.

[0025] The median in the absolute deviation sequence is used as the median absolute deviation.

[0026] Based on the median absolute deviation and the target type information, a corresponding data weight model is obtained, wherein the weight model includes the weight coefficient corresponding to each data point in the historical RCS data sequence;

[0027] Based on the data weighting model and the probe distribution model, the weighted log-likelihood function is obtained using the maximum likelihood estimation method.

[0028] Based on the weighted log-likelihood function, the baseline RCS is obtained by differentiating the average RCS in the detection distribution model and setting it equal to zero.

[0029] Based on the baseline RCS, and based on the target RCS equivalence, equivalent simulation information is obtained.

[0030] Preferably, the step of obtaining the corresponding data weight model based on the median absolute deviation and the target type information specifically includes:

[0031] Based on the target type information, a corresponding detection distribution model is set;

[0032] If the target type is a surface target, then the detection distribution model is as follows:

[0033]

[0034] In the formula, Let be the probability density function, and let RCS be . The probability density, For RCS, This represents the average RCS value.

[0035] Based on the detection distribution model of area targets, and based on the Huber weight function, a data weight model is obtained;

[0036] The data weighting model is specifically as follows:

[0037]

[0038] In the formula, Indicates RCS as Weight of time, Indicates the adjustment parameter. This represents the absolute deviation of the median. This is the current estimate of the location parameters;

[0039] If the target type is a point target, then the detection distribution model is as follows:

[0040]

[0041] Based on the detection distribution model of point targets, and based on the Tukey double weighting function, a data weighting model is obtained;

[0042] The data weighting model is specifically as follows:

[0043]

[0044] In the formula, This indicates the adjustment parameter.

[0045] Preferably, the step of obtaining equivalent simulation information based on the baseline RCS and the target RCS specifically includes:

[0046] If the target type is a surface target, then the Boltzmann constant and room temperature reference value are obtained based on standard physical constant data;

[0047] Based on the transmit power information, transmit antenna gain, receive antenna gain, operating wavelength, system loss, Boltzmann constant, and room temperature reference value, a characteristic correlation function is constructed based on the signal-to-noise ratio formula. The characteristic correlation function represents the functional relationship between the system signal-to-noise ratio and the target RCS.

[0048] Based on historical detection data, obtain the detection range corresponding to the baseline RCS;

[0049] Substitute the baseline RCS and the corresponding detection distance into the feature association function to obtain the signal-to-noise ratio threshold;

[0050] Based on the requirements for radio detection performance testing, a preset test distance is obtained;

[0051] Using the metal triangular reflector as the equivalent target of the detection target, the corresponding RCS expression is obtained;

[0052] Based on the signal-to-noise ratio threshold and the test distance, the side length information of the metal triangular reflector is obtained by combining the feature correlation function and the RCS expression.

[0053] The feature association function is specifically:

[0054]

[0055] In the formula, Indicates the signal-to-noise ratio. For transmission power, For the transmit antenna gain, For receiving antenna gain, For the operating wavelength, For RCS, To detect distance, For system losses, , representing Boltzmann's constant. This represents the reference value at room temperature. Indicates the noise bandwidth;

[0056] The RCS expression is specifically as follows:

[0057]

[0058] In the formula, Represents the RCS of a metal triangular reflector. Let be the side length of the metal triangular reflector.

[0059] Preferably, the step of obtaining equivalent simulation information based on the baseline RCS and the target RCS equivalence further includes:

[0060] If the target type is a point target, then obtain the free space wavenumber based on the working wavelength;

[0061] Using a metal sphere as an equivalent target for detection, the corresponding RCS expression is obtained based on the free space wavenumber. At this time, the RCS expression is a Mie series.

[0062] Set an initial value for the order of the Mie series summation, and calculate the normalized backscattering RCS value at the corresponding order as the feature RCS;

[0063] Based on the baseline RCS and the characteristic RCS, obtain the RCS calculation error at the corresponding order;

[0064] Based on the requirement of target equivalence, a preset error threshold is set;

[0065] Based on the RCS calculation error and the preset error threshold, the summation order is adjusted, and the minimum summation order that satisfies the RCS calculation error not exceeding the preset error threshold is taken as the Mie series summation order corresponding to the detection target.

[0066] Using the baseline RCS, and based on the Mie series and the corresponding summation order, the radius information of the metal sphere is obtained;

[0067] The RCS expression is specifically as follows:

[0068]

[0069] In the formula, Represents the RCS of a metal sphere. Let be the radius of the metal sphere. , representing the free space wavenumber, Category 1 Sphere Bessel function of order 1 Category II Sphere Bessel function of order 1 , indicating the first type Hankel function of order sphere It is the imaginary unit.

[0070] Furthermore, a radio detection performance testing system based on target equivalent cooperation is proposed to implement the testing method described above, including:

[0071] The main control module is used to obtain equivalent simulation information based on the reference RCS and the target RCS, and to perform radio detection performance testing based on the equivalent simulation information and a preset test distance.

[0072] The information acquisition module is used to acquire information about the radio detection device under test, acquire preset detection target information according to the application scenario information, and acquire historical detection data corresponding to the detection target according to the preset detection target information.

[0073] The target analysis module is used to obtain target type information based on preset target information, obtain historical RCS data sequence based on RCS calculation based on historical detection data, and obtain baseline RCS based on historical RCS data sequence.

[0074] The display module interacts with the main control module and is used to output and display the detection target information, the detection target type information, and the equivalent simulation information.

[0075] Optionally, the main control module specifically includes:

[0076] A control unit, which is used to perform radio detection performance testing based on equivalent simulation information and a preset test distance;

[0077] An information receiving unit, which interacts with the information acquisition module and the target analysis module, is used to receive data and transmit it to the target equivalent unit;

[0078] The target equivalent unit is used to obtain equivalent simulation information based on the reference RCS and the target RCS equivalence.

[0079] Optionally, the information acquisition module specifically includes:

[0080] The first acquisition unit is used to acquire information about the radio detection device under test and to acquire preset detection target information based on application scenario information.

[0081] The second acquisition unit is used to acquire historical detection data corresponding to the detection target based on preset detection target information.

[0082] Optionally, the target analysis module specifically includes:

[0083] A target type identification unit is used to obtain target type information based on preset target information.

[0084] The target detection analysis unit is used to obtain a historical RCS data sequence based on historical detection data and RCS calculation, and to obtain a baseline RCS based on the historical RCS data sequence.

[0085] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0086] This invention proposes a radio detection performance testing method and system based on target equivalence coordination. By classifying detection targets, it achieves accurate determination of point targets / area targets. By matching the median absolute deviation with a robust weighting function based on target type, it achieves outlier suppression and accurate calculation. By adapting the chi-square detection distribution model and weighted maximum likelihood estimation according to target type, it achieves accurate matching between the detection distribution and the echo characteristics of the real target. By matching area targets with metal triangular reflectors and point targets with metal spheres and solving for equivalent dimensions using signal-to-noise ratio linkage, it achieves high-precision equivalent replication of the real target's RCS. This provides standard equivalent simulation conditions for radio detection performance testing, ensuring the authenticity and accuracy of the test. Attached Figure Description

[0087] Figure 1 This is a flowchart of a radio detection performance testing method based on target equivalent cooperation proposed in this invention;

[0088] Figure 2 This is a flowchart illustrating the process of obtaining target type information in this invention.

[0089] Figure 3 This is a flowchart of the baseline RCS acquisition process in this invention;

[0090] Figure 4 This is a flowchart illustrating the process of obtaining the side length information of the metal triangular reflector in this invention.

[0091] Figure 5 This is a flowchart illustrating the process of obtaining the radius information of the metal sphere in this invention.

[0092] Figure 6 This is a block diagram of a radio detection performance testing system based on target equivalent cooperation proposed in this invention. Detailed Implementation

[0093] The following description is intended to disclose the invention and enable those skilled in the art to implement it. The preferred embodiments described below are merely examples, and other obvious variations will occur to those skilled in the art.

[0094] Reference Figure 1 - Figure 5 As shown, an embodiment of the present invention provides a method for testing radio detection performance based on target equivalent cooperation, comprising:

[0095] Acquire information about the radio detection device under test, including the operating parameters and application scenario information of the radio detection device;

[0096] Based on the application scenario information, preset detection target information is obtained, including the geometric dimensions and motion characteristics of the detection target;

[0097] Based on the preset target information, obtain the historical detection data corresponding to the target, including the historical detection distance and the historical echo power corresponding to the target;

[0098] Based on the preset target information, obtain the target type information;

[0099] Specifically, based on historical detection data corresponding to the detection target, the target type information is obtained, including:

[0100] Based on the target information, obtain the target's height above the ground, projected area, and aspect ratio;

[0101] Based on information from radio detection equipment, height threshold information is obtained, which represents the maximum height threshold for ground target identification.

[0102] Based on the height threshold information and the target's altitude information, the detected targets are divided into ground-bound targets and non-ground-bound targets. Non-ground-bound targets are classified as the third type of target.

[0103] For ground-bound targets, based on their projected area and aspect ratio, they are divided into planar extended targets and compact single targets. Compact single targets are classified as the first type of target, and planar extended targets are classified as the second type of target.

[0104] Among them, the first type of target and the third type of target correspond to point targets, and the second type of target corresponds to area targets.

[0105] This scheme extracts three core physical features of the target: ground clearance, projected area, and aspect ratio. It comprehensively quantifies the target's spatial morphology and motion attributes, solving the problems of single-based target classification and incomplete feature coverage. This provides complete data support for accurate target type determination. First, ground-bound / non-ground-bound targets are classified based on equipment height thresholds. Then, ground targets are classified by shape into compact single targets and area-extended targets. The classification hierarchy is clear and aligns with the target recognition rules of radio detection equipment, avoiding logical confusion. The first and third categories of targets are uniformly classified as point targets, and the second category as area targets, achieving standardized point / area target classification. This provides a precise classification prerequisite for subsequent differentiated equivalent simulations. Classification is carried out in conjunction with the ground target recognition height threshold of the radio detection equipment, ensuring that the target type determination matches the actual detection capability of the device under test, thus improving the realism of subsequent tests.

[0106] In this embodiment, the altitude threshold represents the altitude boundary between ground targets and air targets when radio is used to identify targets. Targets whose altitude above the ground is lower than the altitude threshold are classified as ground-bound targets.

[0107] Ground-bound targets are classified into planar extended targets and compact single targets based on their projected area and aspect ratio.

[0108] Among them, if the projected area of ​​the ground-bound target exceeds And the length-to-width ratio This classifies the ground-bound target as a planar extended target. The specific projection area and aspect ratio thresholds can be set according to actual needs.

[0109] Based on the target type information and historical detection data, equivalent simulation information is obtained.

[0110] Specifically, based on the target type information and historical detection data, equivalent simulation information is obtained, including:

[0111] Based on the target type information, the corresponding detection distribution model is obtained according to the chi-square distribution.

[0112] Based on the operating parameters of the radio detection equipment, obtain the transmit power, transmit antenna gain, receive antenna gain, operating wavelength, system loss, and noise bandwidth;

[0113] Based on historical detection data and RCS calculation, historical RCS data sequences are obtained.

[0114] Use the median of the historical RCS data series as the RCS median value;

[0115] An absolute deviation sequence is constructed based on the absolute value of the difference between each data point in the historical RCS data sequence and the RCS median.

[0116] The median in the absolute deviation sequence is used as the median absolute deviation.

[0117] Based on the median absolute deviation and the target type information, a corresponding data weight model is obtained, wherein the weight model includes the weight coefficient corresponding to each data point in the historical RCS data sequence;

[0118] Based on the data weighting model and the probe distribution model, the weighted log-likelihood function is obtained using the maximum likelihood estimation method.

[0119] Based on the weighted log-likelihood function, the baseline RCS is obtained by differentiating the average RCS in the detection distribution model and setting it equal to zero.

[0120] Based on the baseline RCS, and based on the target RCS equivalence, equivalent simulation information is obtained.

[0121] In this scheme, a chi-square distribution model is matched to the target type to accurately reflect the statistical distribution characteristics of different targets, improving the matching degree between the distribution model and the actual target. This provides scientific model support for subsequent RCS benchmark calculations. Complete extraction of radio detection equipment operating parameters ensures that both benchmark RCS calculations and equivalent simulations are based on real equipment operating conditions, eliminating test errors caused by missing or biased parameters and improving the applicability of the method. The use of median and median absolute deviation for robust processing of historical RCS data effectively eliminates the influence of outliers, avoids extreme data skewing the benchmark results, and significantly improves the effectiveness and reliability of historical data. A target-adaptive data weighting model is constructed based on the median absolute deviation, assigning higher weights to high-quality historical RCS data. Differential weighting improves the utilization rate of effective samples and further optimizes data quality. The benchmark RCS is accurately solved using a weighted log-likelihood function, providing a high-precision benchmark for target equivalent simulation. Target equivalent simulation based on the benchmark RCS accurately replicates the RCS characteristics of real detection targets, making performance testing closer to actual detection scenarios and significantly improving the authenticity and credibility of test results.

[0122] In this embodiment, based on historical detection data and RCS calculation, a historical RCS data sequence is obtained, specifically as follows:

[0123]

[0124] In the formula, Indicates echo power. For transmission power, For the transmit antenna gain, For receiving antenna gain, For the operating wavelength, For RCS, To detect distance, For system losses;

[0125] Based on the data weighting model and the probe distribution model, the weighted log-likelihood function is obtained using the maximum likelihood estimation method.

[0126] For surface targets, the weighted likelihood function is specifically:

[0127]

[0128] Taking the log-likelihood yields:

[0129]

[0130] right Take the derivative and set it to 0, that is:

[0131]

[0132] To solve the equation, multiply both sides. ,get:

[0133]

[0134] Will The reference RCS for detecting targets;

[0135] The baseline RCS for point targets is the same as that for area targets, and the maximum likelihood estimation method is a well-known technique to those skilled in the art, so it will not be described in detail here.

[0136] Specifically, based on the median absolute deviation and the target type information, a corresponding data weighting model is obtained, including:

[0137] Based on the target type information, a corresponding detection distribution model is set;

[0138] If the target type is a surface target, then the detection distribution model is as follows:

[0139]

[0140] In the formula, Let be the probability density function, and let RCS be . The probability density, For RCS, This represents the average RCS value.

[0141] Based on the detection distribution model of area targets, and based on the Huber weight function, a data weight model is obtained;

[0142] The data weighting model is specifically as follows:

[0143]

[0144] In the formula, Indicates RCS as Weight of time, Indicates the adjustment parameter. This represents the absolute deviation of the median. This is the current estimate of the location parameters;

[0145] If the target type is a point target, then the detection distribution model is as follows:

[0146]

[0147] Based on the detection distribution model of point targets, and based on the Tukey double weighting function, a data weighting model is obtained;

[0148] The data weighting model is specifically as follows:

[0149]

[0150] In the formula, This indicates the adjustment parameter.

[0151] In this scheme, chi-square distribution RCS probability density models are constructed for area targets and point targets respectively. This solves the problem of traditional methods using a single distribution model for both point and area targets, which leads to a mismatch with the statistical regularity of the RCS of real targets. It provides a statistical basis that fits the actual detection scenario for subsequent benchmark RCS calculation. Through a robust weight function that matches the target type, hierarchical suppression of abnormal RCS data is achieved. Huber weight function is configured for area targets, and Tukey double weight function is configured for point targets. A data weight model is constructed by combining the median absolute deviation. The Huber function gently reduces the weight of mild outliers and linearly suppresses severe outliers, while the Tukey function directly assigns zero weight to severe outliers. Both functions adapt to the RCS data fluctuation characteristics of surface / point targets, effectively suppressing the interference of outliers on benchmark calculations and improving data processing robustness. Standardized parameter settings ensure the stability and reproducibility of the weighting model. The Huber weighting function for surface targets uses the statistically optimal adjustment parameter c=1.345, and the Tukey weighting function for point targets uses c=4.685, ensuring stable performance of the weighting model under different data conditions and providing a reproducible standardized processing procedure for equivalent testing. An adaptive weighting threshold based on the median absolute deviation is used to achieve reasonable allocation of data weights. Using the median absolute deviation s as a benchmark and combining it with the adjustment parameter c to determine the weighting threshold, the weight allocation adaptively matches the fluctuation level of the current data, allowing high-quality data to receive appropriate weights while accurately filtering outliers and improving the scenario adaptability of the weighting model.

[0152] In this embodiment, the current estimate of the position parameters It is obtained through a step-by-step update process, using the median in the historical RCS data sequence as the initial position estimate, and setting the convergence threshold and the maximum number of iterations;

[0153] Calculate the weight of each data point based on the selected weighting function, and update the location estimate:

[0154]

[0155] In the formula, Indicates the first After the iteration, the calculated position parameter estimates are...

[0156] like If the algorithm converges, then the algorithm will be successful. This is the convergence threshold.

[0157] Specifically, based on the baseline RCS and the target RCS equivalence, equivalent simulation information is obtained, including:

[0158] If the target type is a surface target, then the Boltzmann constant and room temperature reference value are obtained based on standard physical constant data;

[0159] Based on the transmit power information, transmit antenna gain, receive antenna gain, operating wavelength, system loss, Boltzmann constant, and room temperature reference value, a characteristic correlation function is constructed based on the signal-to-noise ratio formula. The characteristic correlation function represents the functional relationship between the system signal-to-noise ratio and the target RCS.

[0160] Based on historical detection data, obtain the detection range corresponding to the baseline RCS;

[0161] Substitute the baseline RCS and the corresponding detection distance into the feature association function to obtain the signal-to-noise ratio threshold;

[0162] Based on the requirements for radio detection performance testing, a preset test distance is obtained;

[0163] Using the metal triangular reflector as the equivalent target of the detection target, the corresponding RCS expression is obtained;

[0164] Based on the signal-to-noise ratio threshold and the test distance, the side length information of the metal triangular reflector is obtained by combining the feature correlation function and the RCS expression.

[0165] The feature association function is specifically:

[0166]

[0167] In the formula, Indicates the signal-to-noise ratio. For transmission power, For the transmit antenna gain, For receiving antenna gain, For the operating wavelength, For RCS, To detect distance, For system losses, , representing Boltzmann's constant. This represents the reference value at room temperature. Indicates the noise bandwidth;

[0168] The RCS expression is specifically as follows:

[0169]

[0170] In the formula, Represents the RCS of a metal triangular reflector. Let be the side length of the metal triangular reflector.

[0171] This scheme integrates equipment parameters such as transmit power, antenna gain, operating wavelength, and system loss with environmental parameters such as Boltzmann constant and ambient temperature reference values ​​to construct a functional relationship between the system signal-to-noise ratio (SNR) and the target RCS. This provides a physical model that closely matches the real detection scenario for equivalent simulation. By using the baseline RCS and historical detection distances to inversely deduce the SNR threshold, the SNR characteristics of the real target detection scenario are accurately replicated. Substituting the baseline RCS and corresponding detection distances into the feature correlation function, a SNR threshold consistent with the real target detection scenario is obtained, setting a performance benchmark that matches the real scenario for subsequent equivalent simulation. By selecting a metal triangular reflector as the equivalent device for the surface target and matching it with the standard RCS expression, accurate mathematical modeling of the equivalent RCS of the surface target is achieved. Combining the preset test distance, the device-target correlation model and the reflector RCS model are established simultaneously to inversely solve the side length parameters of the metal triangular reflector, ensuring that the RCS of the equivalent simulation is highly consistent with the baseline RCS of the real target, significantly improving the authenticity and reliability of the radio detection performance test results.

[0172] Specifically, based on the baseline RCS and the target RCS equivalence, equivalent simulation information is obtained, which also includes:

[0173] If the target type is a point target, then obtain the free space wavenumber based on the working wavelength;

[0174] Using a metal sphere as an equivalent target for detection, the corresponding RCS expression is obtained based on the free space wavenumber. At this time, the RCS expression is a Mie series.

[0175] Set an initial value for the order of the Mie series summation, and calculate the normalized backscattering RCS value at the corresponding order as the feature RCS;

[0176] Based on the baseline RCS and the characteristic RCS, obtain the RCS calculation error at the corresponding order;

[0177] Based on the requirement of target equivalence, a preset error threshold is set;

[0178] Based on the RCS calculation error and the preset error threshold, the summation order is adjusted, and the minimum summation order that satisfies the RCS calculation error not exceeding the preset error threshold is taken as the Mie series summation order corresponding to the detection target.

[0179] Using the baseline RCS, and based on the Mie series and the corresponding summation order, the radius information of the metal sphere is obtained;

[0180] The RCS expression is specifically as follows:

[0181]

[0182] In the formula, Represents the RCS of a metal sphere. Let be the radius of the metal sphere. , representing the free space wavenumber, Category 1 Sphere Bessel function of order 1 Category II Sphere Bessel function of order 1 , indicating the first type Hankel function of order sphere It is the imaginary unit.

[0183] In this scheme, a high-precision physical model of the electromagnetic scattering characteristics of point targets is achieved by selecting a metal sphere as the equivalent device for the point target and constructing an RCS model based on the Mie series. Adaptive iterative optimization of the Mie series summation order achieves a balance between computational accuracy and efficiency. A closed-loop process of "initial order setting → feature RCS calculation → error comparison → order adjustment" is adopted, using a preset error threshold as a constraint to solve for the minimum summation order that meets the accuracy requirements. By comparing the error between the baseline RCS and the feature RCS of each order, and using threshold constraints, the quantitative controllability of the Mie series calculation accuracy is achieved. An error threshold is set based on the target equivalence requirements, and the optimal order is selected by comparing the calculation errors under different orders. This ensures that the RCS model on which the subsequent metal sphere radius calculation depends meets the accuracy standards, avoiding equivalent RCS deviations caused by inappropriate orders, and providing a high-precision model foundation for equivalent simulation. By inversely calculating the metal sphere radius using the Mie series model at the optimal order and the baseline RCS, the accurate quantitative solution of the equivalent device size of the point target is achieved, significantly improving the authenticity and reliability of the point target radio detection performance test results.

[0184] In this embodiment, the RCS calculation error is specifically as follows:

[0185]

[0186] In the formula, For RCS calculation error, Based on the RCS, This represents the RCS of the metal sphere, with a preset error threshold of 0.1%.

[0187] Based on equivalent simulation information and a preset test distance, radio detection performance is tested.

[0188] Specifically, based on the calculated radius of the point target metal sphere or the side length of the surface target metal triangular reflector, a metal sphere or metal triangular reflector of the corresponding size is selected.

[0189] Based on the preset layout point coordinates and test distance, the suspension center position of the equivalent target is determined;

[0190] Based on the suspension center position, the equivalent target is vertically suspended at the deployment point;

[0191] According to the requirements of dynamic target simulation test, set the control parameters of the equivalent target's sway amplitude ΔR (e.g., ±0.5m) and sway frequency f (e.g., 0.5Hz);

[0192] Based on the shaking amplitude and frequency parameters, an electric drive device is used to drive the equivalent target to perform uniform reciprocating perturbation motion along the detection axis to simulate the motion characteristics of the real target.

[0193] Based on the operating mode of the radio detection equipment under test, the equipment is started and transmits electromagnetic wave signals with constant power to ensure that the transmission power stability meets the preset requirements;

[0194] Based on the device's built-in high-speed signal acquisition module, the echo electrical signal reflected by the equivalent target is acquired in real time at a preset sampling rate (such as 100MSa / s).

[0195] The RCS value of the test target is calculated based on the echo electrical signal.

[0196] The RCS value is compared with the baseline RCS to determine whether the detection error exceeds the preset threshold.

[0197] Reference Figure 6 As shown, further, combining the above-mentioned radio detection performance testing method based on target equivalent cooperation, a radio detection performance testing system based on target equivalent cooperation is proposed, including:

[0198] The main control module is used to obtain equivalent simulation information based on the reference RCS and the target RCS, and to perform radio detection performance testing based on the equivalent simulation information and a preset test distance.

[0199] The information acquisition module is used to acquire information about the radio detection device under test, acquire preset detection target information according to the application scenario information, and acquire historical detection data corresponding to the detection target according to the preset detection target information.

[0200] The target analysis module is used to obtain target type information based on preset target information, obtain historical RCS data sequence based on RCS calculation based on historical detection data, and obtain baseline RCS based on historical RCS data sequence.

[0201] The display module interacts with the main control module and is used to output and display the detection target information, the detection target type information, and the equivalent simulation information.

[0202] The main control module specifically includes:

[0203] A control unit, which is used to perform radio detection performance testing based on equivalent simulation information and a preset test distance;

[0204] An information receiving unit, which interacts with the information acquisition module and the target analysis module, is used to receive data and transmit it to the target equivalent unit;

[0205] The target equivalent unit is used to obtain equivalent simulation information based on the reference RCS and the target RCS equivalence.

[0206] The information acquisition module specifically includes:

[0207] The first acquisition unit is used to acquire information about the radio detection device under test and to acquire preset detection target information based on application scenario information.

[0208] The second acquisition unit is used to acquire historical detection data corresponding to the detection target based on preset detection target information.

[0209] The target analysis module specifically includes:

[0210] A target type identification unit is used to obtain target type information based on preset target information.

[0211] The target detection analysis unit is used to obtain a historical RCS data sequence based on historical detection data and RCS calculation, and to obtain a baseline RCS based on the historical RCS data sequence.

[0212] In summary, the advantages of this invention are as follows: By classifying the detection targets, accurate determination of point / area targets is achieved; by matching the median absolute deviation with a robust weighting function based on the target type, outlier suppression and accurate calculation are achieved; by adapting the chi-square detection distribution model and weighted maximum likelihood estimation according to the target type, accurate matching of the detection distribution with the echo characteristics of the real target is achieved; and by matching area targets with metal triangular reflectors and point targets with metal spheres, and by linking signal-to-noise ratio calculation to solve for the equivalent size, high-precision equivalent replication of the RCS of the real target is achieved. This provides standard equivalent simulation conditions for radio detection performance testing, ensuring the authenticity and accuracy of radio detection performance testing.

[0213] The foregoing has shown and described the basic principles, main features, and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments. The embodiments and descriptions in the specification are merely principles of the invention. Various changes and modifications can be made to the invention without departing from its spirit and scope, and all such changes and modifications fall within the scope of the claimed invention. The scope of protection claimed by the appended claims and their equivalents is defined.

Claims

1. A method for testing radio detection performance based on target equivalent cooperation, characterized in that, include: Acquire information about the radio detection device under test, including the operating parameters and application scenario information of the radio detection device; Based on the application scenario information, preset detection target information is obtained, including the geometric dimensions and motion characteristics of the detection target; Based on the preset target information, obtain the historical detection data corresponding to the target, including the historical detection distance and the historical echo power corresponding to the target; Based on the preset target information, obtain the target type information; Based on the target type information and historical detection data, equivalent simulation information is obtained. Based on equivalent simulation information and a preset test distance, radio detection performance is tested. The step of obtaining target type information based on historical detection data corresponding to the target specifically includes: Based on the target information, obtain the target's height above the ground, projected area, and aspect ratio; Based on information from radio detection equipment, height threshold information is obtained, which represents the maximum height threshold for ground target identification. Based on the height threshold information and the target's altitude information, the detected targets are divided into ground-bound targets and non-ground-bound targets. Non-ground-bound targets are classified as the third type of target. For ground-bound targets, based on their projected area and aspect ratio, they are divided into planar extended targets and compact single targets. Compact single targets are classified as the first type of target, and planar extended targets are classified as the second type of target. Among them, the first type of target and the third type of target correspond to point targets, and the second type of target corresponds to area targets; The process of obtaining equivalent simulation information based on target type information and historical detection data specifically includes: Based on the target type information, the corresponding detection distribution model is obtained according to the chi-square distribution. Based on the operating parameters of the radio detection equipment, obtain the transmit power, transmit antenna gain, receive antenna gain, operating wavelength, system loss, and noise bandwidth; Based on historical detection data and RCS calculation, historical RCS data sequences are obtained. Use the median of the historical RCS data series as the RCS median value; An absolute deviation sequence is constructed based on the absolute value of the difference between each data point in the historical RCS data sequence and the RCS median. The median in the absolute deviation sequence is used as the median absolute deviation. Based on the median absolute deviation and the target type information, a corresponding data weight model is obtained, wherein the weight model includes the weight coefficient corresponding to each data point in the historical RCS data sequence; Based on the data weighting model and the probe distribution model, the weighted log-likelihood function is obtained using the maximum likelihood estimation method. Based on the weighted log-likelihood function, the baseline RCS is obtained by differentiating the average RCS in the detection distribution model and setting it equal to zero. Based on the baseline RCS, and based on the target RCS equivalence, equivalent simulation information is obtained.

2. The method for testing radio detection performance based on target equivalent cooperation according to claim 1, characterized in that, The step of obtaining the corresponding data weight model based on the median absolute deviation and the target type information specifically includes: Based on the target type information, a corresponding detection distribution model is set; If the target type is a surface target, then the detection distribution model is as follows: ； In the formula, Let be the probability density function, and let RCS be . The probability density, For RCS, This represents the average RCS value. Based on the detection distribution model of area targets, and based on the Huber weight function, a data weight model is obtained; The data weighting model is specifically as follows: ； In the formula, Indicates RCS as Weight of time, Indicates the adjustment parameter. This represents the absolute deviation of the median. This is the current estimate of the location parameters; If the target type is a point target, then the detection distribution model is as follows: ； Based on the detection distribution model of point targets, and based on the Tukey double weighting function, a data weighting model is obtained; The data weighting model is specifically as follows: ； In the formula, This indicates the adjustment parameter.

3. The method for testing radio detection performance based on target equivalent cooperation according to claim 2, characterized in that, The step of obtaining equivalent simulation information based on the baseline RCS and the target RCS specifically includes: If the target type is a surface target, then the Boltzmann constant and room temperature reference value are obtained based on standard physical constant data; Based on the transmit power information, transmit antenna gain, receive antenna gain, operating wavelength, system loss, Boltzmann constant, and room temperature reference value, a characteristic correlation function is constructed based on the signal-to-noise ratio formula. The characteristic correlation function represents the functional relationship between the system signal-to-noise ratio and the target RCS. Based on historical detection data, obtain the detection range corresponding to the baseline RCS; Substitute the baseline RCS and the corresponding detection distance into the feature association function to obtain the signal-to-noise ratio threshold; Based on the requirements for radio detection performance testing, a preset test distance is obtained; Using the metal triangular reflector as the equivalent target of the detection target, the corresponding RCS expression is obtained; Based on the signal-to-noise ratio threshold and the test distance, the side length information of the metal triangular reflector is obtained by combining the feature correlation function and the RCS expression. The feature association function is specifically: ； In the formula, Indicates the signal-to-noise ratio. For transmission power, For the transmit antenna gain, For receiving antenna gain, For the operating wavelength, For RCS, To detect distance, For system losses, , representing Boltzmann's constant. This represents the reference value at room temperature. Indicates the noise bandwidth; The RCS expression is specifically as follows: ； In the formula, Represents the RCS of a metal triangular reflector. Let be the side length of the metal triangular reflector.

4. A method for testing radio detection performance based on target equivalent cooperation according to claim 3, characterized in that, The step of obtaining equivalent simulation information based on the benchmark RCS and the target RCS equivalence also includes: If the target type is a point target, then obtain the free space wavenumber based on the working wavelength; Using a metal sphere as an equivalent target for detection, the corresponding RCS expression is obtained based on the free space wavenumber. At this time, the RCS expression is a Mie series. Set an initial value for the order of the Mie series summation, and calculate the normalized backscattering RCS value at the corresponding order as the characteristic RCS; Based on the baseline RCS and the characteristic RCS, obtain the RCS calculation error at the corresponding order; Based on the requirement of target equivalence, a preset error threshold is set; Based on the RCS calculation error and the preset error threshold, the summation order is adjusted, and the minimum summation order that satisfies the RCS calculation error not exceeding the preset error threshold is taken as the Mie series summation order corresponding to the detection target. Using the baseline RCS, and based on the Mie series and the corresponding summation order, the radius information of the metal sphere is obtained; The RCS expression is specifically as follows: ； In the formula, Represents the RCS of a metal sphere. Let be the radius of the metal sphere. , representing the free space wavenumber, Category 1 Sphere Bessel function of order 1 Category II Sphere Bessel function of order 1 , indicating the first type Hankel function of order sphere It is the imaginary unit.

5. A radio detection performance testing system based on target equivalent cooperation, used to implement the testing method as described in any one of claims 1-4, characterized in that, include: The main control module is used to obtain equivalent simulation information based on the reference RCS and the target RCS, and to perform radio detection performance testing based on the equivalent simulation information and a preset test distance. The information acquisition module is used to acquire information about the radio detection device under test, acquire preset detection target information based on application scenario information, and acquire historical detection data corresponding to the detection target based on the preset detection target information. The target analysis module is used to obtain target type information based on preset target information, obtain historical RCS data sequence based on RCS calculation based on historical detection data, and obtain baseline RCS based on historical RCS data sequence. The display module interacts with the main control module and is used to output and display the detection target information, the detection target type information, and the equivalent simulation information.

6. The radio detection performance testing system based on target equivalent cooperation according to claim 5, characterized in that, The main control module specifically includes: A control unit, which is used to perform radio detection performance testing based on equivalent simulation information and a preset test distance; An information receiving unit, which interacts with the information acquisition module and the target analysis module, is used to receive data and transmit it to the target equivalent unit; The target equivalent unit is used to obtain equivalent simulation information based on the reference RCS and the target RCS equivalence.

7. A radio detection performance testing system based on target equivalent cooperation according to claim 5, characterized in that, The information acquisition module specifically includes: The first acquisition unit is used to acquire information about the radio detection device under test and to acquire preset detection target information based on application scenario information. The second acquisition unit is used to acquire historical detection data corresponding to the detection target based on preset detection target information.

8. A radio detection performance testing system based on target equivalent cooperation according to claim 5, characterized in that, The target analysis module specifically includes: A target type identification unit is used to obtain target type information based on preset target information. The target detection analysis unit is used to obtain a historical RCS data sequence based on historical detection data and RCS calculation, and to obtain a baseline RCS based on the historical RCS data sequence.

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