Impact of RNS Coding Overhead on FIR Filters Performance

Abstract

In this paper a design space exploration for FIR filter implementations in residue number system (RNS) is presented. The exploration regards different aspects of the RNS FIR filter designsuch as the dynamic range, the overhead due to the coding of the RNS base with respect to the application dynamic range, and delay-area tradeoffs. The design space exploration and its results, are helpful in evaluating the effects of the RNS coding overhead and to choose an efficient filter architecture trading-off filter order, dynamic range, clock frequency and area.