Analysis of error sequences for PRML and EPRML signaling performed over Lorentzian channel

It is well-known that PRML and EPRML signaling systems applied to digital magnetic recording suffer in performance due to noise correlation at the output of the channel equalizer. We analyze the error sequences for PRML and EPRML equalized Lorentzian channel in order to determine the channel performance. It is shown that an exact expression for the performance of these channels, in terms of the minimum distance error sequence, can be found. These expressions takes into account the correlation of noise due to equalization. A rigorous analysis of the error sequences is performed to compute the system performance degradations due to noise correlation. The exact expressions for the equalization filter and the output of the low pass filter both in time and frequency domains are also calculated