Radar and jammer can be considered as two players in the countermeasure game of electronic warfare (EW). A game framework for joint beamforming and power allocation is investigated for multistatic radars and multiple jammers in this paper. Under a certain target detection criterion, the major aim of every radar is to reduce its power consumption and suppress various jammings. Conversely, the multi‐agent jammers determine their transmitting power strategies to interfere with the multistatic radar network, which is based on the transmitting power of the radars. According to the countermeasure game, both existence and uniqueness are strictly confirmed about the Nash Equilibrium (NE) of the proposed game. Besides, the receive beamformer weight vector can be obtained by minimum variance distortionless response (MVDR). And the corresponding transmit beamformer weight vector is also obtained. An algorithm for joint beamforming and power allocation is proposed, which is iteratively convergent. Finally, the convergence and validity for the proposed algorithm and the interference rejection capability of the multistatic radars are supported by the numerical results.

中文翻译：

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多基地雷达和多重干扰的博弈对策分析

雷达和干扰器可被视为电子战（EW）对抗游戏中的两个角色。本文研究了用于多静态雷达和多个干扰器的联合波束成形和功率分配的游戏框架。在特定的目标检测标准下，每个雷达的主要目的是降低其功耗并抑制各种干扰。相反，多主体干扰器根据雷达的发射功率确定其干扰多静态雷达网络的发射功率策略。根据对策博弈，对拟议博弈的纳什均衡（NE）严格确认了存在性和唯一性。另外，可以通过最小方差无失真响应（MVDR）获得接收波束成形器权向量。并且也获得了相应的发射波束成形器权向量。提出了一种联合波束形成和功率分配的算法，该算法是迭代收敛的。最后，数值结果证明了所提算法的收敛性和有效性以及多基地雷达的干扰抑制能力。