CN112765784A - Radar antagonistic performance analysis method based on super-saturation design - Google Patents

Radar antagonistic performance analysis method based on super-saturation design Download PDF

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CN112765784A
CN112765784A CN202011630540.XA CN202011630540A CN112765784A CN 112765784 A CN112765784 A CN 112765784A CN 202011630540 A CN202011630540 A CN 202011630540A CN 112765784 A CN112765784 A CN 112765784A
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radar
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parameters
performance
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查丽萍
樵梁
吕磊
孙伟
王鑫
陈飞
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8511 Research Institute of CASIC
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Abstract

The invention discloses a radar antagonistic performance analysis method based on a supersaturated design, which comprises the steps of determining main factors influencing the radar antagonistic performance as test parameters, screening important test parameters by using a test design method, carrying out test design based on the important test parameters and obtaining a test design table, carrying out a radar antagonistic test corresponding to the test design, analyzing test data by using a regression analysis method, establishing a radar antagonistic performance prediction model, and verifying the accuracy of the prediction model by using a test. According to the invention, the test design method is used for solving the problem of radar antagonism performance analysis for the first time, and through screening important test parameters and developing test design, the test sample amount required by radar antagonism performance analysis and evaluation can be greatly reduced, and the efficiency of radar antagonism performance analysis and evaluation by adopting a test verification method is effectively improved.

Description

Radar antagonistic performance analysis method based on super-saturation design
Technical Field
The invention belongs to radar and electronic countermeasure technology, and particularly relates to a radar countermeasure performance analysis method based on a super-saturation design.
Background
The radar countermeasure performance refers to the working performance of the radar equipment under the condition of electronic countermeasure, and is an important index for measuring the viability and the fighting capacity of the radar equipment in a complex electromagnetic environment of a battlefield. The fighting performance of radar equipment can be found and mastered to guide the equipment to be used in actual combat, so that the equipment can exert the maximum combat efficiency. In order to find out the radar impedance performance, a large number of test verifications including an internal field simulation test, an external field simulation test, a target range flight test and the like are required to be carried out in the radar development stage so as to obtain test data and analyze and evaluate the radar impedance performance.
Due to the complexity of the countermeasure environment, factors influencing the countermeasure performance of the radar are multiple, and the coupling relationship of the factors is complex, for example, the complex electromagnetic environment under the electronic countermeasure condition comprises an artificial interference environment, a radar target environment and a clutter environment, the artificial interference environment comprises various interference patterns and interference use tactics, the interference patterns are determined by various interference parameters, and the complex electromagnetic coupling relationship exists between the artificial interference environment and the radar target environment as well as the clutter environment. When a radar impedance performance test is carried out, the complex electromagnetic environment faced by the radar impedance performance test needs to be reconstructed, so that the test parameters involved in the radar impedance performance test are more, and the coupling relation of the test parameters is complex, so that the contradiction between the test verification sufficiency and the test cost required for analyzing and evaluating the radar impedance performance is prominent.
In order to solve the problem, domestic scholars develop some research on test design methods for radar antagonism evaluation, for example, Hu Jiang wave et al explore the application problem of the boy method in the electronic antagonism simulation test, and adopt an orthogonal design method to design a radar reconnaissance simulation test, so as to achieve the purpose of reducing the test task (document [1]: Hu Jiang wave, Zhang Yong, Bai dao. the application of the boy method in the electronic antagonism simulation test [ J ]. information command control system and simulation technique, 2005, 27 (6): 86-89.). Guo Xiangyan et al apply the uniform design method to radar anti-interference simulation tests, achieve the purpose of reducing the test times, and analyze the relation between test indexes and influence factors by adopting polynomial regression. (document [3] application of a homogeneous design method in radar anti-interference simulation test [ J ] fire and command control, 2015, 40 (8): 160-.
It can be seen from the domestic research situation that the early radar performance evaluation test design research mainly focuses on how to reduce the test sample size by using a test design method, and in recent years, scholars gradually extend the application significance of the test design method to the analysis of the relation between the radar performance and the influence factors. The fundamental purpose of carrying out test verification is to analyze and evaluate the performance of the radar, and the effective test design method reduces the amount of test samples and needs to be capable of completing the analysis and evaluation of the antagonistic performance of the radar. The test design method is various and comprises orthogonal design, uniform design, Latin hypercube design and the like, different test design methods are suitable for different test problems, due to the complexity of radar antagonism performance test, the influence relation and the influence degree of test parameters on radar antagonism performance are not clear, and a single test design method is applied to solve the problem that radar antagonism performance analysis has certain limitation.
Disclosure of Invention
The invention aims to provide a radar antagonistic performance analysis method based on a supersaturated design, which is combined with a multi-year radar antagonistic performance test evaluation basis, realizes high-efficiency analysis and evaluation of radar antagonistic performance based on test verification through iterative test design, solves the engineering problems that the test sample size is huge, the test design process is complex, and the test verification and analysis evaluation cannot be effectively carried out during the radar antagonistic performance analysis evaluation, and completes a closed loop for analyzing and evaluating the radar antagonistic performance based on the test design.
The technical solution for realizing the purpose of the invention is as follows: a radar antagonistic performance analysis method based on a super-saturation design comprises the following steps:
step 1, determining main factors influencing radar antagonistic performance as test parameters XiI is (1,2,. m), m is the number of test parameters, and the value range [ X ] of each test parameter is determinedimin,Ximax]。
And 2, screening important test parameters by adopting a supersaturated design method.
And 3, carrying out uniform test design based on the important test parameters to obtain a test design table.
And 4, developing a radar countermeasure test based on the test design table, analyzing test data by adopting a Gaussian process regression analysis method, and establishing a radar countermeasure performance prediction model.
And 5, additionally testing, and verifying the accuracy of the radar impedance performance prediction model.
Furthermore, the test parameters are divided into qualitative test parameters and quantitative test parameters, and quantitative data processing is required to be carried out on the qualitative test parameters.
Further, the method for screening the important test parameters comprises the steps of firstly obtaining a screening design table by adopting a super-saturation design method, secondly developing a simulation test according to the screening design table to obtain test data, and then carrying out screening analysis according to the test data to obtain the important test parameters.
Further, the test parameter level in the step 3 is 3-5 times of the number of the test parameters.
Further, the accuracy of the test means in the step 4 should not be lower than that of the test corresponding to the screening design.
Further, the step of testing and verifying the prediction model comprises the steps of firstly carrying out uniform test design based on important test parameters to obtain a test design table; secondly, obtaining a predicted value of the radar antagonistic performance corresponding to the test design table based on the prediction model; carrying out a test based on a test design table to obtain a measured value of the radar antagonistic performance; and then calculating whether the mean square error between the predicted value and the measured value meets the precision requirement.
Compared with the prior art, the invention has the remarkable advantages that:
(1) the invention is used for radar antagonism performance test and evaluation, and provides a set of scientific method and a complete flow for analyzing and evaluating radar antagonism performance based on a test design method for the first time.
(2) By the technical scheme, the radar impedance performance can be efficiently analyzed and evaluated under the conditions of complex radar impedance environment, multiple influencing factors and complex factor coupling relation, important test parameters are determined, the test sample amount required by radar impedance performance evaluation is greatly reduced, the radar impedance performance analysis and evaluation flow is scientifically, normatively and reasonably simplified, and the test verification for supporting radar impedance performance analysis and evaluation has engineering operability.
(3) Through the technical scheme, the idea of iterative test design can realize the radar impedance performance evaluation based on different test accuracies of various test modes such as an internal field simulation test, an external field actual installation simulation test, an internal and external field combined test and the like.
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FIG. 1 is a flow chart of a radar antagonism analysis method based on a supersaturated design according to the present invention.
Detailed Description
The present invention is described in further detail below with reference to the attached drawing figures.
Example 1: as shown in fig. 1, a radar antagonistic performance analysis method based on a supersaturated design includes the following steps:
(1) determining the main factors influencing the radar antagonistic performance as test parameters XiI is (1,2,. m), m is the number of test parameters, and the value range [ X ] of each test parameter is determinedimin,Ximax];
(2) Screening important test parameters by adopting a screening supersaturation design method;
(3) carrying out uniform test design based on important test parameters to obtain a test design table;
(4) carrying out a radar performance countermeasure test based on a test design table, analyzing test data by adopting a Gaussian process regression analysis method, and establishing a radar countermeasure performance prediction model;
(5) and (5) performing additional tests to verify the accuracy of the radar impedance performance prediction model.
Example 2: firstly, determining that the main factors influencing the radar antagonistic performance are interference power, working waveform, interference bandwidth and working frequency as test parameters, wherein the number of the main factors is 4, the interference power range is 30-70, the working waveform is sine wave or triangular wave, the interference bandwidth range is 20-200, and the working frequency is 5-50.
And (3) carrying out quantification processing on the working waveform, wherein a sine wave is represented by 0, and a triangular wave is represented by 1, so that the range of the working waveform is 0-1.
Important test parameters are screened by adopting a supersaturated design method, wherein a screening design table is shown in the following table 1:
TABLE 1 Radar antagonistic Performance screening design Table
Serial number Interference power Working waveform Interference bandwidth Frequency of operation
1 30 0 160 50
2 60 1 120 45
3 60 0 80 10
4 40 1 60 10
5 40 0 40 5
6 40 0 140 45
7 40 1 100 50
8 60 0 20 40
9 50 0 60 20
10 30 1 80 5
11 50 1 180 15
12 30 1 40 40
13 60 1 160 30
14 30 0 180 25
15 50 1 20 35
16 70 1 140 25
17 70 0 100 15
18 70 1 200 20
19 70 0 120 35
20 50 0 200 30
And (3) carrying out a radar impedance performance simulation test according to the test parameters in the table 1, obtaining test data, and carrying out screening analysis to obtain 3 parameters of interference power, interference bandwidth and working frequency as important test parameters.
The method comprises the following steps of carrying out uniform test design on 3 important test parameters of interference power, interference bandwidth and working frequency to obtain a test design table shown in a following table 2:
TABLE 2 Radar contrast performance test design table
Figure BDA0002876245000000041
Figure BDA0002876245000000051
Carrying out a radar performance countermeasure test according to the test parameters in the table 2, analyzing test data by adopting a Gaussian process regression analysis method, and establishing a radar countermeasure performance prediction model as follows:
Figure BDA0002876245000000052
wherein
Figure BDA0002876245000000053
Indicating the radar tracking accuracy when
Figure BDA0002876245000000054
The time is that the radar can work normally in the confrontation environment when
Figure BDA0002876245000000055
The time is that the radar can not work normally under the confrontation environment; p denotes interference power, B denotes interference bandwidth, and f denotes operating frequency.
Verifying the accuracy of the radar impedance performance prediction model, wherein a uniform test design table used for verification is shown in the following table 3, and a radar impedance performance predicted value and an actual measurement value obtained based on the radar impedance performance prediction model and the simulation test are respectively shown in the following table 3:
table 3 shows the design of the test and the results of the test
Serial number Interference power Interference bandwidth Frequency of operation Prediction value Measured value
1 40 120 25 0.291 0.352
2 50 90 30 0.959 1.256
3 30 100 15 0.146 0.231
4 45 80 50 1.641 1.125
5 60 90 30 1.374 0.948
6 60 130 25 0.549 0.766
7 50 110 40 0.852 1.02
8 30 70 20 0.395 0.438
The mean square error of the predicted value and the measured value in the calculation table 3 is 0.078, and the requirement of radar impedance performance prediction precision is met.
In summary, the radar impedance performance analysis based on the experimental design can be realized by using the method, and the method has the advantages of complete flow, simple and convenient realization process and easy operation.

Claims (7)

1. A radar antagonistic performance analysis method based on a super-saturation design is characterized by comprising the following steps:
step (ii) of1. Determining environmental parameters affecting radar antagonistic performance as test parameters XiM is the number of test parameters, and the value range [ X ] of each test parameter is determinedimin,Ximax];
2, screening important test parameters by adopting a supersaturated design method;
step 3, carrying out uniform test design based on important test parameters to obtain a test design table;
step 4, developing a radar countermeasure test based on the test design table, analyzing test data by adopting a Gaussian process regression analysis method, and establishing a radar countermeasure performance prediction model;
and 5, additionally testing, and verifying the accuracy of the radar impedance performance prediction model.
2. The method for radar antagonism analysis based on supersaturated design according to claim 1, wherein: in the step 1, the test parameters are divided into qualitative test parameters and quantitative test parameters, and quantitative data processing is required to be performed on the qualitative test parameters.
3. The method for radar antagonism analysis based on supersaturated design according to claim 1, wherein: the method for screening the important test parameters in the step 2 comprises the following steps:
step 2-1: obtaining a screening design table by adopting a supersaturated design method;
step 2-2: carrying out a simulation test according to the screening design table to obtain test data;
step 2-3: and carrying out screening analysis based on the test data to obtain important test parameters.
4. The method for radar antagonism analysis based on supersaturated design according to claim 1, wherein: and the test parameter level in the step 3 is 3-5 times of the number of the test parameters.
5. The method for radar antagonism analysis based on supersaturated design according to claim 1, wherein: the precision of the test means in the step 4 is not lower than that of the test corresponding to the screening design.
6. The method for analyzing the radar impedance performance based on the supersaturated design according to claim 1, wherein in the step 5, the step of performing the test verification of the radar impedance performance prediction model comprises the following steps:
step 5-1: carrying out uniform test design based on important test parameters to obtain a test design table;
step 5-2: obtaining a radar antagonistic performance predicted value corresponding to a test design table based on a radar antagonistic performance prediction model;
step 5-3: carrying out a test based on a test design table to obtain a measured value of the radar antagonistic performance;
step 5-4: and calculating whether the mean square error between the predicted value and the measured value meets the precision requirement.
7. The method for radar antagonism analysis based on supersaturated design according to claim 1, wherein: the test design table in step 5-1 is not repeated with the test design table in step 3.
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Application publication date: 20210507