A magnetic recording device includes a preprocessor, an interpolator and a slicer. The preprocessor receives at least n saturated input signals including an nth saturated input signal The preprocessor is configured to process each of the n saturated input signals to produce a corresponding nth output signal. The n output signals include an nm output signal from the nth saturated input signal. The interpolator processes the nth output signal to determine an nth interpolator output. The slicer determines an nth slicer output for the nh output signal. The nth slicer output is at one of three different levels. The preprocessor can receive and process an n +1th saturated input signal to produce an n +1th output signal that is based on a difference between the nth interpolator output and the level of the nth slicer output.