According to one embodiment, a system for processing data includes a processor and logic integrated with and/or executable by the processor, the logic being configured to individually set, for each of one or more range-constrained finite impulse response (FIR) filter taps configured for use in a FIR filter, a predetermined range of values suitable for controlling an equalizer response, and pass data through the equalizer including the FIR filter to obtain equalized data, wherein each of the one or more range-constrained FIR filter taps are individually adaptive within its predetermined range of values. Other systems and methods for processing data by constraining FIR filter taps while reading data from a data storage medium are described in more embodiments.