Geometric programming for optimizing stability of distributed power control algorithms

Abstract

In this presentation, we give a brief overview on a recent research trend toward using geometric programming for optimizing wireless communication networks. We in particular deal with a distributed power control algorithm for wireless communication networks, called Foschini-Miljanic Algorithm. Despite the practical and industrial significance of the algorithm, the problem of stabilizing the internal dynamics of the algorithm has been left as an open problem in the literature. In this presentation, we consider the problem of tuning the transmission and interference gains of the communication channels for ensuring the dynamic stability of the algorithm. We show that the problem can be reduced to a geometric program, which can be converted to an equivalent convex optimization and thus can be efficiently solved