Digital Finite Impulse Response Filter based on Residue Number System

As a non-weighted number system, the arithmeticoperations in Residue Number System (RNS) are split intosmaller parallel operations which are operates in free lance.There is no carry propagation between these operations. Hencedevices operating in this principle inherit property of high speedand low power consumption. But this property makes overflowdetection difficult during any operation. Hence the set of moduliare chosen with a very high range R. This paper discusses the useof RNS on designing finite impulse response (FIR) filter. We alsopropose a bit efficient moduli set for 32 bit RNS based FIR filter.A technique for mapping the data in another space is also cited.This provides the liberty to work with floating numbers with aprecision. The proposed algorithms are finally used to design aFIR filter and its performance is studied.