Power control and rate allocation for outage balancing in femtocell networks

We consider the fairness problem of outage probability balancing based on statistical channel state information (CSI) in closed-access femtocell networks where multiple subchannels are shared among macro and femto user equipments. We aim to maximize a utility function of outage probabilities for each femto user equipment (FUE) in the network under a macro user equipment (MUE) outage constraint. In light of rate requirement for each FUE, we jointly optimize the power allocation for both FUEs and MUEs as well as the rate allocation for FUE in each sub-channels. Using successive convex approximation, we develop a centralized algorithm to iteratively tackle a series of geometric programming problems. For base-stations connected through back-haul, we further design a distributed algorithm to update optimization variables locally through message passing.