中文摘要：

针对杂波背景多输入多输出（MIMO）雷达与目标博弈问题,从最小均方误差（MMSE）估计角度提出两种可行的雷达波形设计优化策略,结合两步注水算法得到不同策略下的博弈方案。基于Stackelberg均衡模型,博弈方案用注水法分配目标干扰功率,用通用注水法分配雷达信号功率。仿真比较了杂波背景两种优化策略下雷达先行的博弈方案,结果表明优化策略2得到的MMSE值更小,证明了优化策略2的有效性;但雷达信号和目标干扰总功率均较小时,优化策略2反而不如优化策略1,对雷达正确选择优化策略以赢得与目标的博弈有一定借鉴意义。

英文摘要：

In order to solve the game problem between MIMO radar and target in the presence of clutter, this paper proposed two available optimization strategies for waveform design from the perspective of MMSE, and obtained game schemes at different optimization strategy with two-step water-filling. Based on Stackelberg equilibrium, game schemes distributed jamming power by water-filling, and distributed signal power by generalized water-filling. Experiments compared two optimization strategies in ra- dar-first game scheme. The simulation results indicate that the second optimization strategy can make MMSE down obviously, so it proves the availability of the second optimization strategy, but the effect is not ideal when both signal power and jamming power are low. It is valuable for MIMO radar to make the right choice of optimization strategy to win the game.