On the Maximum Weighted Sum-Rate of MIMO Gaussian Broadcast Channels

In this paper, we investigate the maximum weighted sum-rate problem (MWSR) of MIMO Gaussian broadcast channels (MIMO-BC). We propose an efficient algorithm that employs conjugate gradient projections (CGP) to solve the MWSR problem. The proposed CGP offers provable convergence. By deflecting gradient direction to its Hessian conjugate, CGP enjoys a superlinear convergence rate. Also, CGP has a modest memory requirement. It only needs the solution information from the previous step. More importantly, CGP is able to solve the MWSR problem with arbitrary number of antennas on both sides of a MIMO-BC.