Robust Transceiver Design for MIMO System with Amplify-and-Forward Relay

Abstract

Abstract-In this paper, a robust transceiver design for dual-hop multiple-input multiple-output (MIMO) system with amplify-and-forward (AF) relay is produced in the presence of imperfect channel state information (CSI) . The antenna correlation at both ends of the channel and the channel estimation errors are taken into account. The optimization problem is formulated based on minimum mean-square error (MMSE) rule, and the original problem is decoupled into three convex sub-problems. Then the source precoding matrix is optimized by the interior-point method, the optimal relaying matrix is derived by lagrangian multiplier method. The equalizer is optimized by a gradient-based line search algorithm and an alternating algorithm is proposed for the joint design. Simulation results indicated that the proposed design approach achieves better robustness against antenna correlation and channel estimation errors than other approaches.Index Terms-MIMO relay system, amplify-and-forward, mean-square error (MMSE), antenna correlation, channel estimation errors.