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Diversity Analysis of Symbol-by-Symbol Linear Equalizers

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3 Author(s)
Ali Tajer ; Electr. Eng. Dept., Princeton Univ., Princeton, NJ, USA ; Aria Nosratinia ; Naofal Al-Dhahir

In frequency-selective channels linear receivers enjoy significantly-reduced complexity compared with maximum likelihood receivers at the cost of performance degradation which can be in the form of a loss of the inherent frequency diversity order or reduced coding gain. This paper demonstrates that the minimum mean-square error symbol-by-symbol linear equalizer incurs no diversity loss compared to the maximum likelihood receivers. In particular, for a channel with memory ν, it achieves the full diversity order of (ν+1) while the zero-forcing symbol-by-symbol linear equalizer always achieves a diversity order of one.

Published in:

IEEE Transactions on Communications  (Volume:59 ,  Issue: 9 )