Performance evaluation of decision feedback equalization for the Lorentzian channel

Recently, equalization and detection techniques have been applied to the magnetic recording channel. For medium to high normalized recording densities (S⩾2), decision feedback equalization (DFE) represents the only performant equalization method. Despite many proposed schemes, no specific analytical performance has been evaluated yet when applying DFE to the recording channel. In this paper, we derive both the zero forcing (ZF) and the mean square error (MSE) performance measures for DFE to the Lorentzian channel. Simple expressions have been found and allow us to determine from which recording density the MMSE-DFE significantly outperforms the ZF-DFE. These expressions have also revealed to be useful to evaluate the loss induced when combining coding and DFE for the Lorentzian channel