AREA AND POWER EFFICIENT FIR FILTER BASED ON RESIDUE NUMBER SYSTEM

Abstract--In digital systems, filter occupies a major role. This paper describes the design of FIR filter based on residual number system using modified version of booth multiplier which requires minimum number of multipliers and adders. The modified booth multiplier uses modified booth algorithm or modified booth encoder. The modified booth encoder is used to avoid variable size partial arrays. In FIR filters multiplier consumes more power. To reduce power the number of partial products in the multiplier is to be reduced. One of the solutions of realizing high speed multipliers is to enhance parallelism, which helps to decrease the number of subsequent stages. The RNS is carry free hence the booth recoding method does not propagate the carry to the next stages. Finally the proposed FIR filter based on RNS structures are beneficial in terms of area and power when compared to the existing FIR based on RNS using Wallace multiplier