Power Allocation in MIMO Collaborative Co-Existing Radar and Communications Systems: A Non-Cooperative Game Approach

This study investigates power allocation for a MIMO collaborative co-existing radar and communications (CERC) system. Utilizing the received signal models developed for the collaborative CERC system, we propose to formulate a non-cooperative game to allocate power to each antenna in the MIMO radar and MIMO communications subsystems, treating the two subsystems as players. The radar target detection probability and communications mutual information are derived, the dominant terms of which are used as utility functions associated with the two players respectively. We introduce the Nash equilibrium (NE) for the formulated game problem and prove the existence and uniqueness of the NE. Numerical results are presented to demonstrate the efficacy of the proposed game strategy.