Weighted sum rate maximization for interfering broadcast channel via successive convex approximation

We consider the weighted throughput maximization with general convex transmit power constraints in multi-cell multi-user multiple-input multiple-output system. The problem formulation is separated into receive beamformer and transmit precoder design problems. The non-convex precoder design problem is reformulated as a difference of convex functions program and solved with successive convex approximation. The convex approximation of the precoder design problem can be further formulated as a second-order cone program. Distributed and iterative solution via Karush-Kuhn-Tucker conditions for the precoder design with sum transmit power constraints is also proposed. It is shown that the rate of convergence can be significantly improved with the proposed algorithm while achieving comparable sum rate when compared to other recently published methods. This is an import factor in practical solutions as this increases the achievable sum rate with respect to required signaling iterations.