Joint optimization for multiuser MIMO uplink systems with imperfect CSI

In this paper, a joint linear minimum sum mean-squared error transceiver optimization problem is formulated for multiuser MIMO uplink systems under a sum power constraint assuming imperfect channel state information (CSI). Two methods are proposed to solve this problem. One is based on the associated Karush-Kuhn-Tucker conditions. The other is to solve an equivalent problem, approaching the solution by solving a sequence of semi-definite programming problems. After obtaining the solution to the optimization problem, we investigate the effects of channel estimation errors and antenna correlation at the base station on system performance. Simulation results are provided.