A hard disk drive or other storage device comprises a storage medium, a write head, and control circuitry coupled to the write head. The control circuitry comprises a write driver configured to generate a write signal comprising write pulses responsive to write data, and a driver controller configured to adjust overshoot amplitudes of respective ones of the write pulses utilizing a segmented digital-to-analog converter. The overshoot amplitudes are adjusted by detecting patterns in the write data, decoding a first portion of a base overshoot value to identify a corresponding number of base overshoot segments, combining the base overshoot value and a differential overshoot value, decoding a first portion of the combined base overshoot and differential overshoot values to identify a corresponding number of enhanced overshoot segments, and selecting between the number of base overshoot segments and the number of enhanced overshoot segments responsive to detection of a particular pattern.