Joint Beamforming and Power Allocation in a MIMO Radar Network with Per-antenna Power Control

This paper studies the joint beamforming and power allocation problem for a multiple-input multiple-output (MIMO) radar system in the presence of multiple targets. To facilitate a distributed implementation, a non-cooperative game model is established to capture the interactions among multiple radars, where each radar minimizes the maximum transmit power of its antennas while satisfying the signal-to-interference-plus-noise ratio requirement for the targets. The convex transmit beamforming problem is addressed by adopting the Lagrange dual theory and the sub-gradient projection method. Subsequently, the game relationship among radars is formulated as a power allocation game, and the existence and uniqueness of the Nash equilibrium are proven. Simulation results are provided to demonstrate the convergence and effectiveness of the proposed algorithm.