A method and circuit for generating an M-bit digital dither signal with a substantially uniform probability density function and high-pass spectrum are disclosed. The circuit includes a linear feedback shift register (LFSR) with N storage elements where N>M, and a high-pass filter. The method involves sampling at least M storage elements of the LFSR with each clock cycle to form an M-bit LFSR output and high-pass filtering and the M-bit LFSR output to provide the M-bit dither signal.