A nonlinear equalizer for binary data transmission over finite impulse
response channels is developed, It is based on a state-space descript
ion of the channel, The equations of the resulting algorithm resemble
the equations of a Kalman hard-decision feedback equalizer, similar to
the one of McLaughlin et al. However, the derivation of the equalizer
differs significantly from the derivation of the Kalman algorithm. Pa
rticularly, probability estimates of the received bits are incorporate
d, They can be exploited in several ways to improve the performance of
the equalizer and of the complete transmission system, Simulations fo
r a mobile radio channel show that the new equalizer is an alternative
to well-established equalizers like the Viterbi or the conventional h
ard-decision feedback equalizer.