Performance of a cooperative algorithm for power control in cellular systems with a time-varying link gain matrix

A new version of the Cooperative Algorithm is proposed for distributed power control in time-varying cellular environment. Unlike other approaches which assume a fixed link gain matrix, we consider a time-varying model for shadow fading. We consider the performance of three schemes, namely, instantaneous SIR balancing, slow path loss compensation and the Cooperative Algorithm. Analytical results are obtained for the case where there are two cochannel users. We have shown that the sequence of signal-to-interference ratio (SIR) converges in distribution. The outage probability in steady state is obtained. It is shown that when the power control sampling period is small, the performance of the Cooperative Algorithm approaches that of instantaneous SIR balancing. For more than two users, a detailed simulation is performed.