Exact SER-precoding of orthogonal space-time block coded correlated MIMO channels: An iterative approach

Exact expressions are derived for the average symbol error rate (SER) for correlated non-frequency selective quasi-static multiple-input multiple-output (MIMO) Rayleigh fading channels where the transmitter employs orthogonal space-time block coding (OSTBC) and precoding with a full complex-valued precoder matrix. Expressions are given for M-PSK M-PAM, and M-QAM signal constellations. An iterative optimization technique is proposed for finding the minimum exact SER precoder. The results show that the proposed precoder performs better than a system using the trivial precoder and a system using the precoder that minimizes an upper bound on the pair-wise error probability (PEP).