Joint beamforming and power allocation between a multistatic MIMO radar network and multiple targets using game theoretic analysis

Abstract

This paper investigates a countermeasure model between a multistatic multiple-input multiple-output (MIMO) radar network and multiple targets in the presence of continuous surface clutter. As a member of the multistatic MIMO radar network, the main purpose of each radar is to minimize its transmit power under a certain target detection criterion. Based on the selfishness of each radar, a strategic non-cooperative game (SNG) framework between MIMO radars is constructed. For the SNG between MIMO radars, the existence and uniqueness of the Nash equilibrium (NE) solution are proved strictly. And then, an iterative power allocation strategy for each MIMO radar is developed using optimization theory. The receive beamformer weight vectors of the multistatic MIMO radars are obtained by minimum variance distortionless response (MVDR) and linearly constrained minimum variance (LCMV) to suppress cross-channel interferences, respectively. Furthermore, two joint beamforming and power allocation game algorithms are proposed, which converge to the NE of the game. Finally, in order to illustrate the superiority of the proposed algorithms, we compare them with the relevant game algorithm. Numerical results are provided to show the advantages of the proposed algorithms in terms of power allocation and interference suppression.