Implementation of digital filters in carry-save residue number system

In this work, we present the implementation of a finite impulse response (FIR) filter in the residue number system (RNS), in which we use a carry-save scheme in the binary representation of the residues to speed-up modular additions. We compare the carry-save RNS implementation with the implementations of the same filter in the traditional binary system and in plain RNS. Results show that the carry-save RNS filter is much faster and its energy dissipation per cycle comparable. Furthermore, we show that a multiple supply voltage approach for the plain RNS filter can lead to an additional reduction in power dissipation without performance degradation.