A digital clipper is highly oversampled to decrease aliasing and increase accuracy. The difference between the clipper's input (50) and output (80) is then downsampled and added to the delayed, unclipped signal at Ix sample rate to achieve clipping. Filters (90) operating at Ix can be placed in series with the downsampled differentially-clipped signal to achieve overshoot compensation, bandlimiting of the clipped signal, and other goals.