Multilevel decision feedback equalization (MDFE) is a detection scheme that
was developed for (1,k) coded recording channels, The user signal-to-noise
ratio required to achieve a chosen bit error rate (BER) of 1e-6 has been s
hown to be about 1.9 dB more than that of the maximum likelihood loser boun
d for Lorentzian channel at user density 2.5. Recently, an advanced version
of MDFE, called,M2DFE [8], was proposed. By using computer simulations, th
e BER of M2DFE has been shown to improve by about I dB compared to MDFE.
In this paper, se first discuss the various aspects of M2DFE design and the
n present its theoretical analysis, Using the analysis, we show how the two
critical parameters in the design are to be chosen for optimum performance
. We also propose a modified M2DFE detector, which exploits the noise corre
lation at the slicer input, to improve the BER performance as well as reduc
e error propagation considerably. These MDFE detectors are then compared fo
r their BER's and error propagation performances.