干扰条件下基于Bayesian博弈的认知制导雷达波形设计

现代战场电磁环境复杂,制导雷达与干扰机间对抗日趋激烈.针对对抗过程中制导雷达和干扰方不能获取对方完整信息情形下的性能降低问题,基于SINR准则建立制导雷达和干扰Bayesian博弈模型,通过海萨尼转换方法,采用目标概率集合形式表达未知信息,求解博弈模型并设计雷达和干扰优化波形、基于二次注水和迭代注水法分配信号频域能量,并对Bayesian博弈纳什均衡存在性展开研究.最后通过仿真分析不同策略下的雷达和干扰信号具体形式,验证不同波形条件下制导雷达检测性能.仿真结果证明,迭代注水信号及二次注水信号检测概率最高可比线性调频信号分别提升15.41％、12.79％,为不完全信息博弈中制导雷达信号优化提供了解决方案.

A Cognitive Guidance Radar Waveform Design Based on Bayesian Game under Conditions of Jamming

With the development of electronic warfare technology and the complex electromagnetic environments of battlefield, the confrontation between the guidance radar and the jammer has become increasingly fierce. Aimed at the problem that performance degrades in the process of confrontation when the guidance radar and the jammer are out of condition to obtain the complete information of the other party during the game, a guidance radar and jamming Bayesian game model is established based on the SINR criterion, and the unknown information is expressed in the form of target probability set through the Harsanyi conversion method. Optimized waveforms of radar and jammer are designed based on game model solution, signal frequency domain energy is distributed based on secondary water filling and iterative water filling methods, and the existence of Bayesian game Nash equilibrium is studied. Finally, different strategies of radar and jammer are analyzed through simulation. The specific form of the signal verifies the waveform detection performance. The simulation results prove that the detection probability of the iterative water filling signal and the second water filling signal is up to 15.41% and 12.79% ( higher than that of the chirp signal) respectively, providing a solution for the optimization of the guidance radar signal in the incomplete information game.