Robust transceiver design for MIMO interference network with norm bounded channel uncertainty

In this work, robust transceiver optimization algorithms are proposed for multi-user multiple-input multiple-output (MIMO) interference network in which only imperfect channel state information (CSI) is available at both transmitters and receivers. The errors of the CSI are assumed to be norm bounded, and the mean square errors (MSE) are served as quality of service targets to be minimized. Considering the impact of channel uncertainty, robust algorithms that minimize the maximum sum MSE and minimize the maximum per-user MSE with per transmitter power constraint are proposed. Each transceiver design algorithm can be decomposed into two subproblems, and the optimization alternates between the transmitters and receivers. Iterative algorithms that design one precoder or decoder each time while leave others as fixed are proposed. Such problem can be recast into convex semidefinite programming (SDP) problems. Numerical results are presented which show the effectiveness and robustness of proposed algorithms when CSI errors exist.