Power controlled adaptive sum-capacity in the presence of distributed CSI

We consider a distributed MAC setting with block-wise flat fading links and full receiver CSI (channel state information). Each user has individual CSI (knowledge of its own fading coefficient) and is unaware of the link quality of other links. Outage is not allowed in any communication block. In this distributed set up, throughput optimal power-rate allocation strategies are of interest. The average sum-throughput is also known as power controlled adaptive sum-capacity in literature, an open-problem for several interesting fading models like Rayleigh fading. Part of this problem was recently solved for the case where the users have identical power constraints and fading statistics. We extend this result in two directions. We find the power controlled adaptive sum-capacity when the users have different average power constraints and identical channel statistics, and propose bounds when the channel statistics are different. We analyze the impact of finite-rate additional CSI on the fading coefficients of the other links, and compute the optimal throughput in some interesting cases.