A convergent version of Max SINR for the MIMO interference channel

We consider the problem of designing signals to transmit over the MIMO interference channel by extending the Max SINR algorithm. The Max SINR algorithm starts with arbitrary beamformers and then designs optimal receivers to maximize the SINR at each receiver. The Max SINR algorithm then alternates the direction of communication and repeats this process. This algorithm is known to perform well but there is no proof that it converges. We propose a modification to Max SINR using a power control step to make a metric similar to the sum rate converge. If we also use successive interference cancellation(SIC), then our metric is exactly the sum rate. We show via simulations that performance of the modified Max SINR algorithm, unlike the other convergent alternatives, is nearly identical to that of the original Max SINR algorithm.