Femtocell BS Power Control by Using Game Theory Approach for Two-Tier WiMAX Networks

We propose a new centralized power control scheme for closed access femtocell networks. Since femto base station (FBS) can be deployed unpredictably in a macro cell area, interference to macro subscribers and interference between FBS in downlink (DL) cause a transimit problem. In this paper, we describe the system model using a noncooperative game model. We formulate a utility function to provide FBS proper power strength and to minimize interference. Our power control algorithm based on the game model can be applied to the centralized environment. This novel power control algorithm leads transmission power to reach a steady state condition, i.e. Nash Equilibrium (NE). Through mathematical analysis and numerical results, we show that our proposed power control algorithm has several good characteristics.