Joint Power Allocation and Beamforming between a Multistatic Radar and Jammer Based on Game Theory

This paper investigates a game problem of joint power allocation and beamforming for a multistatic radar network in the presence of a smart jammer. Under a certain signal-to-interference-plus-noise ratios (SINR) criterion, the main purpose of the multistatic radar network is to minimize its total transmit power and mitigate different interferences. In addition, the smart jammer adjust its own transmit power strategy to interfere the radar system with the radar transmit power. For the game problem, the existence and uniqueness of the Nash Equilibrium (NE) of the game is proved. Furthermore, a power allocation and beamforming game algorithm is proposed and converges to the NE. In the end, simulation results verify the convergence of the algorithm and the anti-interference ability of the radar system.