Error probability minimization for MIMO systems with imperfect channel state information

Channel uncertainty degrades the performance of multiple-input multiple-output (MIMO) systems considerably. In the literature, capacity maximization for MIMO channels with imperfect channel state information (CSI) has been extensively investigated. However, the error probability minimization counterpart is less studied. In this paper, we aim to minimize the transmission error probability of MIMO systems with imperfect channel estimate and error covariance matrix available at the transmitter. We propose a precoder design which minimizes the maximum pair-wise error probability among every symbol pair. Compared with other schemes utilizing indirect alternatives, i.e., mean-square error (MSE) or approximated signal-to-noise ratio (SNR), numerical results show that the proposed design achieves a significant improvement in error performance.