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Equalization techniques other than Maximum Likelihood Equalization (MLE) that collect full diversity offered by doubly selective channels are investigated. With appropriate precoding at the transmitter, it is known the both Linear Equalizers (LE) and MLE collect full multiplicative multipath-Doppler diversity available in the channel. The authors close the gap between LE and MLE and show that Decision Feedback Equalizers (DFE) also achieve full channel diversity in these channels. For a class of pre-coders proposed in they propose a novel hybrid equalization scheme that also benefits from full channel diversity at a lower complexity compared to full blown MLE.
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