Optimal power allocation for two-cell sum rate maximization under minimum rate constraints

In this paper, we analyze the sum rate maximization problem in a two-cell wireless system under peak power and minimum service rate constraints. The optimal power allocation is found to be binary, in the sense that each base station power will have one out of only two possible discrete levels, and the result can greatly reduce the optimization and power control complexity required. A closed-form solution of the optimal assignment is reported. The new result provides a generalization of the binary power control (BPC) proposed in. It is possible to apply the new result under the two-cell structure when clustering a larger network into groups of two cells. In a comparison with the full power transmission, it is shown that the proposed scheme outperforms in both the outage probability and sum rate performance generally.