Minimum relevant error MIMO decision-feedback equalizer for high-speed wireless data communications

A new criterion for optimizing the coefficients of multi-input multi-output (MIMO) decision feedback equalizers (DFE) is proposed for asymmetric signal constellations. It is shown that the new criterion is a generalization of the minimum mean square error (MMSE) criterion. The proposed MIMO DFE can be applied to the equalization of Gaussian minimum shift keying (GMSK) signals. Simulation results indicate that the proposed method achieves a performance gain of as much as 2 dB without increasing equalization complexity.