Reverse conversion architectures for signed-digit residue number systems

摘要

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.