Acceleration of Static Nash Power Control Algorithm using Newton Iterations

In wireless communication systems, each user’s signal contributes to the interference seen by the other users. Given limited available battery power, this creates a need for effective and efficient power control strategies. These strategies may be designed to achieve quality of service (QoS) or system capacity objectives, or both. We show how the power control problem is naturally suited to formulation as a noncooperative game in which users choose to trade off between signal-tointerference ratio (SIR) error and power usage. Koskie (2003) studied the static Nash game formulation of this problem. The solution obtained led to a system of nonlinear algebraic equations. In this paper we present novel distributed power control strategies based on the use of Newton iterations, as well as variants having third-order rather than quadratic convergence, to solve the corresponding algebraic equations. The efficiency of the new algorithms is demonstrated in simulation on a realistic CDMA cell model.