Game Theoretical Power Control for Open-Loop Overlaid Network MIMO Systems with Partial Cooperation

摘要

Network MIMO is considered to be a key solution for the next generationwireless systems in breaking the interference bottleneck in cellular systems.In the MIMO systems, open-loop transmission scheme is used to support mobilestations (MSs) with high mobilities because the base stations (BSs) do not needto track the fast varying channel fading. In this paper, we consider anopen-loop network MIMO system with $K$ BSs serving K private MSs and $M^c$common MS based on a novel partial cooperation overlaying scheme. Exploitingthe heterogeneous path gains between the private MSs and the common MSs, eachof the $K$ BSs serves a private MS non-cooperatively and the $K$ BSs also servethe $M^c$ common MSs cooperatively. The proposed scheme does not require closedloop instantaneous channel state information feedback, which is highlydesirable for high mobility users. Furthermore, we formulate the long-termdistributive power allocation problem between the private MSs and the commonMSs at each of the $K$ BSs using a partial cooperative game. We show that thelong-term power allocation game has a unique Nash Equilibrium (NE) but standardbest response update may not always converge to the NE. As a result, we proposea low-complexity distributive long-term power allocation algorithm which onlyrelies on the local long-term channel statistics and has provable convergenceproperty. Through numerical simulations, we show that the proposed open-loopSDMA scheme with long-term distributive power allocation can achievesignificant performance advantages over the other reference baseline schemes.