Distributed Asynchronous Game Theoretic Solutions for Precoding Strategies in Multiuser MIMO Systems

In this paper, we proposed and illustrated a distributed low-complex algorithm for precoding strategy selection in a multi-user Multiple-input Multiple-output (MU-MIMO) wireless system using noncooperative games. We formulate the game as a non-cooperative game for an asynchronous distributed system in multi-user MIMO system known as Partially asynchronous distributed algorithm (PADA) and the convergence (Nash Equilibrium (NE) point) of the game. Mathematical framework providing sufficient conditions guaranteeing the uniqueness of the NE and the convergence of the proposed algorithm is presented. (NE) which possess at least one pure strategy Nash equilibrium (NE) and the optimal strategy profile which maximizes the sum rate provides the solution for the existence and uniqueness of the game. The main focus is on non-cooperation of interference multi-user MIMO channel. Analysis of the proposed partially asynchronous distributed low-complex algorithm for precoding strategy selection in a multi-user MIMO wireless system using non-cooperative games is illustrated.