Diversity analysis of optimal SC-FDE MIMO systems and comparison with OFDM based transmission

In this paper, we propose a general framework for both time domain (TD) and frequency domain (FD) block iterative equalization schemes for wideband multiple-input multiple-output (MIMO) channels. The equalization systems are designed by jointly optimizing the forward and backward filters based on minimum mean square error (MMSE) criterion. The equivalence of block iterative TD and FD equalization with decision feedback is established by analytically showing that the same mean square error (MSE) is achieved by the two systems. Asymptotic performance of the studied block iterative FD equalization scheme is analyzed, and the rate-diversity tradeoffs of space time / frequency coded MIMO SC-FDE and MIMO OFDM are compared.