Study of game strategy between multiple targets and multistatics radars

Aiming at the conflict game between multistatic multiple-input multiple-output(MIMO) radars and multiple targets,a joint technology of power allocation and beamforming for a multistatic MIMO radar system is studied.The main purpose of the multistatic radar system is to minimize the total transmit power under a certain signal to interference noise ratio(SINR) constraint,and to suppress the cross-channel interference to improve the accuracy of target detection.Based on the strategic non-cooperative game between radars,the existence and uniqueness of the Nash equilibrium solution are proved.Then,according to the theoretical analysis,a joint beamforming and power allocation algorithm is proposed and converges to the Nash equilibrium.Meanwhile,the receive beamformers of multistatic radars are obtained by using the linearly constrained minimum variance(LCMV) criterion to suppress the mutual radar interference.Numerical results show that the proposed algorithm has a better interference suppression ability and less power consumption than the related game algorithm.