系统工程与电子技术 ›› 2024, Vol. 46 ›› Issue (2): 561-569.doi: 10.12305/j.issn.1001-506X.2024.02.20

• 系统工程 • 上一篇    

基于FAST和Sobol指数法的雷达系统效能敏感性分析

胡涛, 申立群, 朱镜达, 孙成会, 董伟锋   

  1. 哈尔滨工业大学仪器科学与工程学院, 黑龙江 哈尔滨 150001
  • 收稿日期:2022-12-20 出版日期:2024-01-25 发布日期:2024-02-06
  • 通讯作者: 申立群
  • 作者简介:胡涛(1976—), 男, 副教授, 博士, 主要研究方向为先进仿真与体系建模技术、效能评估、图像处理
    申立群(1979—), 男, 副教授, 博士, 主要研究方向为自动检测与控制技术、系统仿真、效能评估技术
    朱镜达(1997—), 男, 助理工程师,硕士, 主要研究方向为敏感性分析、效能评估
    孙成会(1999—), 女, 博士研究生, 主要研究方向为效能评估
    董伟锋(2000—), 男, 硕士研究生, 主要研究方向为控制与仿真

Sensitivity analysis of radar system effectiveness based on FAST and Sobol index method

Tao HU, Liqun SHEN, Jingda ZHU, Chenghui SUN, Weifeng DONG   

  1. School of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
  • Received:2022-12-20 Online:2024-01-25 Published:2024-02-06
  • Contact: Liqun SHEN

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

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