Decentralized power control scheme in femtocell networks: A game theoretic approach

We propose a new distributed power control scheme for closed access femtocell networks. Since femto APs can be deployed unpredictably in a macro cell area, interference to macro users and interference between femto APs in down-link (DL) cause a severe problem. In this paper, we describe the system model using a noncooperative game model. We formulate a payoff function to provide fairness and to minimize interference. At the same time, we prove that this function can be appeared as a supermodular type. Our power control algorithm based on the game model can be applied to the decentralized 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.