On Utility-Based Power Control and Receive Beamforming

The paper deals with the problem of joint power control and receive beamforming in wireless networks. The objective is to allocate transmit powers and receive beamformers to the users in order to maximize a weighted sum of some utility functions of the signal-to-interference ratios. We propose using a class of utility functions with increasing relative concavity that allows for an arbitrarily close approximation of the max-min fair rate allocation. Then, we consider a gradient projection algorithm for the problem, show its local convergence and address the problem of implementing it in a distributed manner.