Distributed Energy Efficient Spectrum Sharing Strategy Selection with Limited Feedback in MIMO Interference Channels

In this paper, we study the distributed energy efficient spectrum sharing strategy selection (i.e., joint discrete power control and multimode precoding strategy selection) with limited feedback in MIMO interference channels. We assume that the users are selfish and noncooperative. The goal of each user is to maximize its individual energy efficiency under the constraints of the minimum data rate and the interference temperature. Game theory is used to model the spectrum sharing strategy selection. We design a payoff function to guarantee the feasibility of the pure Nash equilibrium of the game without knowing the infeasible strategy profiles in advance. Then we propose a distributed game-theoretic spectrum strategy selection algorithm and prove that this algorithm always attains the feasible strategy profiles. Numerical results show that the proposed algorithm can enhance the energy efficiency of the users and significantly outperforms the random selection algorithm.