In one embodiment, a system includes a tape channel for reading data from a magnetic tape medium to produce a signal, a bank of noise whitening filters positioned subsequent to the tape channel adapted for receiving the signal, the bank of noise whitening filters being adapted for minimizing variance of noise affecting the signal at an output of the bank of noise whitening filters, wherein each noise whitening filter in the bank of noise whitening filters is dependent on a different possible data pattern, a soft DMAX detector adapted for calculating first soft information, dependent on the different possible data patterns, about each bit of the signal from the bank of noise whitening filters, and sending the first soft information to a soft decoder adapted for calculating second soft information about each bit of the signal and sending the second soft information to the soft DMAX detector.