基于最大边缘分配算法的雷达博弈波形设计

实战背景下雷达目标先验信息有较大的不确定性，基于先验信息设计的波形不能满足参数估计的需要。为解决该问题，提出了一种博弈条件下的雷达波形设计方法。考虑到雷达与干扰机在电子对抗中的非同时性，采用Stackelberg博弈框架进行建模。该方法以优化雷达能量谱分布为策略，采用最大互信息准则建立效用函数。博弈过程中，雷达与干扰机各自根据对手策略优化发射波形，经过多次迭代，双方达到纳什均衡。仿真实验对比了均衡策略与maxmin策略与随机策略，证实了所提算法的有效性。

Radar Game Waveform Design Based on Maximum Marginal Allocation Algorithm

The waveform designed based on the prior information can not meet the needs of parameter estimation due to the large uncertainty of the prior information of radar targets in actual combat condition.To solve this problem,a radar waveform design method under game conditions is proposed.By considering the non-synchronization between radar and jammer in electronic countermeasures,a Stackelberg game framework is introduced for modeling.With the optimization strategy for the radar energy spectrum,the maximum mutual information criterion is utilized to establish the utility function.During the game,both the radar and jammer optimize the transmitted waveform according to the opponent''s strategy,and reach a Nash equilibrium after multiple iterations.Simulation experiments verify the convergence of the proposed method.The equilibrium strategy is compared with the maxmin strategy and stochastic strategy in simulation experiments,in which the effectiveness of maximum marginal allocation is shown.