The use of Residue Number System in the design of the optimal all-pole IIR digital filters

Abstract

The paper discusses the Residue Number System (RNS) implementation of all-pole recursive digital filter. The RNS offers the advantage of using arithmetic based on integer operations and a simple hardware realization involving arithmetic operations implemented in parallel. In residue number system of IIR filter needs a scaling operation which is necessary to keep data within the limited dynamic range. The effects of residue scaling to performances of recursive digital filters are described here.