Performance analysis of FIR digital filter design: RNS versus traditional

This paper presents performance analysis of Residue Number System (RNS) based Finite Impulse Response (FIR) digital filters and traditional FIR filters. This research is motivated by the importance of an efficient filter implementation for digital signal processing. The comparison is done in terms of speed and area requirement for various filter specifications. RNS based FIR filters operate more than three times faster and consumes only about 60% of the area than traditional fitter when number of filter taps is more than 32. The area for RNS filter is increasing at a lesser rate than that for traditional resulting in low-power consumption. RNS is a non-weighted number system without carry propagation between different residue digits. This enables simultaneous parallel processing on all the digits resulting in high speed addition and multiplication in RNS domain. Such compact and high speed real-time digital filters find applications in radar, communications and image processing systems.