Beamforming design for the MIMO downlink for maximizing Weighted Sum-Rate

This work studies linear transmit filter design for weighted sum-rate (WSR) maximization in the multiple input multiple output broadcast channel (MIMO-BC). The problem of finding the optimal transmit filter is non-convex and intractable to solve. Motivated by the iterative algorithm that solves for the optimal transmit and receive filters for minimizing sum-mean square error (MSE), this paper suggests to use weighted minimum mean square error (WMMSE) optimization in the MIMO-BC. The paper presents an iterative algorithm to maximize WSR. Numerical results for sum-rate using the derived filter are provided under different system settings.