论文标题
MIMO雷达波形过滤器设计，用于从游戏的视图中进行扩展目标检测
MIMO Radar Waveform-Filter Design for Extended Target Detection from a View of Games
论文作者
论文摘要
本文研究了多输入多输出（MIMO）雷达和扩展目标之间的两人零和（TPZS）游戏，其收益功能是雷达接收器的输出信号与干扰脉冲 - 噪声比率（SINR）。雷达播放器希望通过调整发射波形并接收过滤器来最大化SINR。相反，目标播放器希望通过从围绕某个TIR的缩放球改变其目标冲动响应（TIR）来最大程度地减少SINR。它们之间的相互作用形成了一款Stackelberg游戏，雷达玩家充当领导者。考虑到三种不同情况，雷达的Stackelberg平衡策略，即稳健或最小波形过滤器对。在第一种情况下，引入了传输波形上的能量限制（EC），从理论上讲，我们证明了stackelberg平衡也是游戏的NASH平衡，并提出算法1通过CONVEX优化解决最佳波形过滤器对。 Note that the EC can't meet the demands of radar transmitter due to high Peak Average to power Ratio(PAR) of the transmit waveform, thus Constant Modulus and Similarity Constraint(CM-SC) on waveform is considered in the second case, and Algorithm 2 is proposed to solve this problem, where we theoretically prove the existence of Nash equilibrium for its Semi-Definite Programming(SDP) relaxation form.并通过计算NASH平衡，然后是随机方案来解决最佳波形过滤器对。在第三种情况下，...
This paper studies the Two-Person Zero Sum(TPZS) game between a Multiple-Input Multiple-Output(MIMO) radar and an extended target with payoff function being the output Signal-to-Interference-pulse-Noise Ratio(SINR) at the radar receiver. The radar player wants to maximize SINR by adjusting its transmit waveform and receive filter. Conversely, the target player wants to minimize SINR by changing its Target Impulse Response(TIR) from a scaled sphere centered around a certain TIR. The interaction between them forms a Stackelberg game where the radar player acts as a leader. The Stackelberg equilibrium strategy of radar, namely robust or minimax waveform-filter pair, for three different cases are taken into consideration. In the first case, Energy Constraint(EC) on transmit waveform is introduced, where we theoretically prove that the Stackelberg equilibrium is also the Nash equilibrium of the game, and propose Algorithm 1 to solve the optimal waveform-filter pair through convex optimization. Note that the EC can't meet the demands of radar transmitter due to high Peak Average to power Ratio(PAR) of the transmit waveform, thus Constant Modulus and Similarity Constraint(CM-SC) on waveform is considered in the second case, and Algorithm 2 is proposed to solve this problem, where we theoretically prove the existence of Nash equilibrium for its Semi-Definite Programming(SDP) relaxation form. And the optimal waveform-filter pair is solved by calculating the Nash equilibrium followed by the randomization schemes. In the third case,...
