Feedback Control Game for Channel State Information in Wireless Networks

It has been well recognized that channel state information (CSI) feedback is important for dowlink transmissions of closed-loop wireless networks. In this paper, we investigate the CSI feedback rate control problem in the analytical setting of a game theoretic framework, where a multiple-antenna base station (BS) communicates with a number of co-channel mobile stations (MS) through a minimum mean square error (MMSE) precoder. Specifically, we present a non-cooperative feedback-rate control game with price (NFCP) over orthogonal feedback channels with a total bandwidth constraint. The game utility is defined as the performance gain by CSI feedback minus the price as a linear function of the CSI feedback rate, subject to an overall bandwidth constraint. The existence of the Nash equilibrium of such a game is investigated. Simulation results show that the distributed game approach results in close optimal performance compared with the centralized scheme.