Markovian model of the error probability density and application to the error propagation probability computation of the weighted, decision feedback equalizer

A Markovian model of the error probability density for decision feedback equalizer is proposed and its application to the error propagation probability computation is derived. The model is a generalization of the Lutkemeyer and Noll (see ICC, Porto Carras, Greece, June 1998). It is obtained by the analysis of the Gaussian mixture distribution of the errors which follows a Markov process. The analysis of this process shows that the error propagation probability of the weighted DFE is less than the one of the classical DFE.