基于FAST和Sobol指数法的雷达系统效能敏感性分析

doi:10.12305/j.issn.1001-506X.2024.02.20

摘要/Abstract

摘要：

为了以较小的代价快速提升对空探测雷达系统的综合效能, 首先搭建了对空探测雷达系统综合效能的评估指标体系, 在此基础上完成了综合效能评估模型的建立。选择两种基于方差原理的全局敏感性分析方法, 即傅里叶幅度敏感性测试(Fourier amplitudes sensitivity test, FAST)和Sobol指数法, 分别从频域和时域对建立的评估模型进行敏感性分析。在基于FAST进行敏感性分析时, 提出了21维输入指标所对应的特征频率集的选取方法; 在基于Sobol指数法进行敏感性分析时, 考虑了二阶及高阶敏感性指数的影响。对比FAST和Sobol指数法的分析结果, 两种方法获得的敏感性分析结果具有较好的一致性。其中, 功率和频率为对空探测雷达系统的主要影响指标, 为雷达系统的研发和升级提供了可靠性依据。

关键词: 雷达系统, 效能评估, 敏感性分析, 傅里叶幅度敏感性测试, Sobol指数法

Abstract:

In order to rapidly improve the comprehensive efficiency of the air detection radar system at a low cost, the evaluation index system of the comprehensive efficiency is firstly establised, and then the establishment of the comprehensive effectiveness evaluation model is completed. Two global sensitivity analysis methods, including Fourier amplitudes sensitivity test (FAST) and Sobol index method based on variance principle, are selected to conduct sensitivity analysis on the established evaluation model from the perspectives of frequency domain and time domain respectively. In the sensitivity analysis based on FAST, the method of selecting the eigenfrequency set corresponding to the 21-dimensional input index is proposed. In the sensitivity analysis based on Sobol index method, the effects of the second-order and higher-order sensitivity indexes are considered. By comparing the analysis results of FAST and Sobol index method, it can be seen that the sensitivity analysis results obtained by the two methods have good consistency. Among them, power and frequency are the main influence indicators of the air detection radar, which can provide the reliability basis for the development and upgrade of the radar system.

Key words: radar system, effectiveness evaluation, sensitivity analysis, Fourier amplitudes sensitivity test (FAST), Sobol index method

中图分类号:

TP391.9

胡涛, 申立群, 朱镜达, 孙成会, 董伟锋. 基于FAST和Sobol指数法的雷达系统效能敏感性分析[J]. 系统工程与电子技术, 2024, 46(2): 561-569.

Tao HU, Liqun SHEN, Jingda ZHU, Chenghui SUN, Weifeng DONG. Sensitivity analysis of radar system effectiveness based on FAST and Sobol index method[J]. Systems Engineering and Electronics, 2024, 46(2): 561-569.

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能力层	权重	指标层	权重	全局权重
空域探测能力	0.320 4	多目标处理性能	0.200 0	0.064 1
		最大作用距离	0.400 0	0.128 2
		方位观察范围	0.200 0	0.064 1
		俯仰观察范围	0.200 0	0.064 1
目标测量能力	0.242 6	距离测量精度	0.250 0	0.060 6
		方位角测量精度	0.250 0	0.060 6
		俯仰角测量精度	0.250 0	0.060 6
		速度测量精度	0.250 0	0.060 7
抗干扰能力	0.124 7	抗主瓣干扰性能	0.249 2	0.031 1
		抗副瓣干扰性能	0.326 9	0.040 8
		频率捷变	0.141 3	0.017 6
		频率分集	0.141 3	0.017 6
		旁瓣相消	0.141 3	0.017 6
数据处理能力	0.164 7	数据处理速度	0.400 0	0.065 9
		数据容量	0.200 0	0.032 9
		系统识别技术	0.400 0	0.065 9
生存与适应能力	0.147 6	系统可靠性	0.500 0	0.073 8
		环境适应性	0.250 0	0.036 9
		抗毁伤性	0.250 0	0.036 9

指标类型	x₀	y₀	x₁	y₁
效益型	不满意值	0	满意值	1
成本型	满意值	1	不满意值	0

指标	典型值
同时处理目标数目/架	600
发射机平均功率/kW	80
天线有效孔径/m²	7
信号重复周期/s	0.005
雷达系统损耗/dB	4.5
信噪比/dB	12
工作频率/GHz	2.1
俯仰观察范围/(°)	30
雷达信号带宽/kHz	300
半功率点水平宽度/(°)	1
半功率点垂直宽度/(°)	5
频率捷变/分	85
频率分集/分	80
旁瓣相消/分	85
数据处理速度/分	80
数据容量/分	85
系统识别技术/分	80
平均无故障时间/h	600
平均维修时间/h	20
环境适应性/分	80
抗毁伤性/分	85

参数个数	拟合方程	拟合程度
15	y=-2.85x²+100.08x+76.55	0.998 3
16	y=-2.69x²+91.02x+57.39	0.998 8
17	y=-2.67x²+85.21x+3.56	0.998 3
18	y=-2.66x²+79.67x+14.89	0.997 7
19	y=-2.46x²+70.48x+4.88	0.998 7

指标i	指标j	二阶交互效应指数
平均维修时间	平均无故障时间	0.000 945
工作频率	天线有效孔径面积	0.000 451
信噪比	雷达系统损耗	0.000 361
工作频率	信噪比	0.000 298
信噪比	天线有效孔径面积	0.000 262
信噪比	发射机平均功率	0.000 134
工作频率	发射机平均功率	0.000 120
半功率点垂直宽度	信噪比	0.000 075
雷达信号带宽	信噪比	0.000 045
雷达系统损耗	发射机平均功率	0.000 041