Low-power FIR filter realization with differential coefficients and inputs

This paper presents a low-power finite-impulse response filter design by using differential coefficients and inputs instead of using them directly such that fewer bits are required, thereby reducing the size of arithmetic units and power dissipation. We present an improved algorithm to effectively generate differential coefficients so that the differential coefficients methods can be applied to full bandwidth (BW) of filters instead of only narrow-band filters in previous approaches. Simulations with fixed coefficient filters indicate reduction in transition activity ranging from 1-53% over the full range of filter BW's. The presented results can be applied to adaptive filters to generate suitable differential coefficients.