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Unbiased MMSE decision-feedback equalization for packet transmission

We derive expressions for the different linear and decision feedback equalizers in burst mode in the multichannel case. Among them we derive the class of unbiased minimum mean squared error equalizers. Optimal burst mode filters are found to be time-varying. Performance comparisons between these equalizers are done in terms of SNR and probability of error: these measures depend on the position in the burst. We study furthermore the performance when symbols are known or not at the edges of the burst and compare it to the continuous processing level. Finally we show that (time-invariant) continuous processing applied to burst mode can be organized to give sufficiently good performance, so that optimal (time-varying) burst processing implementation can be avoided.