A Minimum-Error Probability Tapped Delay Line Equalizer

This paper considers the design of a tapped delay line (TDL) equalizer from an error probability point of view. We define a new class of TDL equalizers, which includes the zero-forcing equalizer (ZFE) as a special case. Some optimal properties of the new equalizers are presented and their relationships to mean-square equalizers (MSE's) and ZFE are discussed. It is shown that, for a certain class of additive noise, some of the new equalizers result in a probability of error lower than that of the MSE.