Distributed optimal power allocation for two-hop ad hoc wireless systems

In this paper, we study the problem of power control in a wireless ad hoc system. We consider multiple links of two hops relating source to destination. We propose to use a utility function corresponding to an approximation of the capacity of each link at high Signal to Interference plus Noise Ratio (SINR). We study analytically the problem of maximizing the sum utilities. We assume that users adjust their powers in an interference aware manner and propose a solution based on a distributed pricing power allocation algorithm. Then we prove its convergence to a unique optimal point. The overall approach's efficiency is illustrated via several simulations.