Fast and flexible architectures for RNS arithmetic decoding

Abstract

An implementation of a fast and flexible residue decoder for residue-number-system (RNS)-based architectures is proposed. The decoder is based on the Chinese remainder theorem. It decodes a set of residues to its equivalent representation in weighted binary number system. This decoder is flexible since the decoded data can be selected to be either unsigned magnitude or 2's complement binary number. Two different architectures are analyzed; the first one is based on using carry-save adders, while the other is based on utilizing modulo adders. The implementation of both architectures is modular and is based on simple cells, which leads to efficient VLSI realization. The proposed decoder is fast; it has a time complexity of theta (log N), where N is the number of moduli.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>