Reverse conversion architectures for signed-digit residue number systems

This paper presents circuits for conversion from radix-2 signed-digit residue numbers to binary form. Four reverse converters for combined RNS/SD number systems based on different moduli sets are presented. Implementations are compared with respect to timing, area and area-delay products. Finite impulse response (FIR) filters are used as reference designs in order to evaluate the performance of RNS/SD processing in a typical DSP block using the suggested moduli sets.©2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.