王泓霖1,,,
郑家毅3,
徐建业1,
赵俊龙1,
邹鲲1
1.空军工程大学信息与导航学院 西安 710077
2.信息感知技术协同创新中心 西安 710077
3.中国人民解放军95019部队 襄阳 441800
基金项目:国家自然科学基金(61571456)，航空科学基金(20160196001)
详细信息
作者简介:李伟：男，1978年生，副教授，研究方向为新体制雷达信号处理
王泓霖：男，1995年生，博士生，研究方向为雷达及电子战系统
郑家毅：男，1991年生，助理工程师，研究方向为雷达信号处理
徐建业：男，1992年生，博士生，研究方向为信道编码及深度学习
赵俊龙：男，1995年生，硕士生，研究方向为雷达信号处理、雷达波形设计
邹鲲：男，1976年生，副教授，研究方向为雷达信号处理、统计信号处理、复杂电磁环境下的目标探测等
通讯作者:王泓霖 wanghonglin821@outlook.com
中图分类号:TN951计量
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被引次数:0
出版历程
收稿日期:2019-02-26
修回日期:2019-09-01
网络出版日期:2019-09-05
刊出日期:2019-11-01
Research on Radar Waveform Design Strategy under Game Condition
Wei LI1, 2,Honglin WANG1,,,
Jiayi ZHENG3,
Jianye XU1,
Junlong ZHAO1,
Kun ZOU1
1. Information and Navigation College, Aire Force Engineering University, Xi’an 710077, China
2. Collaborative Innovation Center of Information Sensing and Understading, Xi’an 710077, China
3. 95019 troop of the PLA, Xiangyang 441800, China
Funds:The National Natural Science Foundation of China (61571456), The Aeronautical Science Foundation of China (20160196001)
摘要
摘要:为提高电子战中弹载雷达检测性能，该文提出基于纳什均衡的雷达波形设计方法。首先建立电子战条件下雷达与干扰信号博弈模型，基于最大化信干噪比(SINR)准则，分别设计了雷达和干扰的波形策略；然后通过数学推导论证了博弈纳什均衡解的存在性，设计了一种重复剔除严格劣势的多次迭代注水方法来实现纳什均衡；通过二步注水法推导了非均衡的maxmin优化方案；最后通过仿真实验测试不同策略下雷达检测性能。仿真结果证明，基于纳什均衡的雷达信号设计有助于提升博弈条件下雷达检测性能，对比未博弈时，雷达检测概率最高可提升12.02%，较maxmin策略最高可提升3.82%，证明所设计的纳什均衡策略更接近帕累托最优。
关键词:雷达波形设计/
纳什均衡/
信干噪比/
迭代注水法/
maxmin方法
Abstract:In order to improve missile-borne radar detection performance in modern electronic warfare, a radar waveform design method based on Nash equilibrium is proposed. Firstly, the radar and jammer game signal models are established in electronic warfare. Based on maximum Signal-to-Interference-plus-Noise Ratio (SINR), waveform strategies of radar and jammer are designed respectively. Secondly, the existence of Nash equilibrium solution is demonstrated by mathematical derivation and verified in experimental simulation. A multiple iterative water-filling method which repeatedly eliminates strict disadvantages is designed to achieve Nash equilibrium. The maxmin scheme of disequilibrium game is deduced by two-step water-filling method. Finally, the radar detection performance of optimization strategies is tested by simulation experiments. Simulation results reveal that the radar waveform design based on Nash equilibrium is beneficial to improve the radar detection performance under game conditions. Compared with no-game and maxmin strategies, the radar detection probability of Nash equilibrium strategy can be increased by 12.02% and 3.82%, respectively. It is proved that the Nash equilibrium strategy of this paper is closer to the Pareto optimality.
Key words:Radar waveform design/
Nash equilibrium/
Signal-to-Interference-plus-Noise Ratio (SINR)/
Iterative water-filling method/
Maxmin method
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