MMSE Infinite Length Symbol-by-Symbol Linear Equalization Achieves Full Diversity

This paper investigates the diversity order of single-carrier, symbol-by-symbol linear equalization (LE). It is shown that minimum mean square error (MMSE) linear equalizers achieve full diversity of v + 1 (the number of channel taps) independent of spectral efficiency. Our results also provide a new proof for the full diversity of decision feedback equalization (DFE), which was shown originally in A. Medles and D.T.M Slock (2004).

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