Least-squares channel equalization performance versus equalization delay
ABSTRACT Linear channel equalization has been a successful way to combat
intersymbol interference (ISI) introduced by physical communication
channels at high enough symbol rates. We consider the performance of
least-squares equalizers in the single-input/multi-output (SIMO) channel
context when the true channel is composed of an mth-order significant
part and tails of “small” leading and/or trailing terms.
Using a perturbation analysis approach, we show that if the diversity of
the significant part is sufficiently large with respect to the size of
the tails, then the lth-order least-squares equalizers, with l⩾m-1,
perform well for all the delays corresponding to the significant part.
On the other hand, the performance of the equalizers for the delays
corresponding to the tails may be poor