Exact potential game based power control with QoS provisioning in two-tier femtocell networks

In this paper, we investigate the power control problem in the uplink of spectrum-sharing femtocell networks with delay quality of service (QoS) guarantees. Due to the time-varying nature of wireless channels, deterministic QoS is hard to be guaranteed in wireless networks. By integrating information theory with the principle of effective capacity (EC), we formulate an interference-aware power control problem with statistical QoS provisioning. To solve the problem, we firstly model the optimization problem as an exact potential game. Specially, a channel quality related pricing mechanism is presented to mitigate co-tier interference. Then the existence and uniqueness of Nash Equilibrium (NE) point is studied. Finally, a distributed optimal power control algorithm is proposed to implement the game. Simulation results indicate that the proposed algorithm greatly improves EC of all femtocell user equipments (FUE).