The design of multiplierless FIR filters for compensating D/A converter frequency response distortion

Designs are presented for multiplierless linear-phase FIR digital filters for compensating the sinc(x) frequency-response distortion resulting from D/A conversion. The filter coefficients are represented by a simple canonic single-digit code, and thus the filter can be implemented using only a few adders and delay registers. A 7-tap design is given which compensates the D/A distortion to within ±0.045 dB from DC through 0.41 f_s and an 11-tap design is given which compensates the D/A distortion to within ±0.028 dB from DC through 0.045 f_s