A residue-to-binary converter for a new five-moduli set

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A residue-to-binary converter for a new five-moduli set

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Title: A residue-to-binary converter for a new five-moduli set
Author: Cao, Bin; Chang, Chip Hong; Srikanthan, Thambipillai
Copyright year: 2007
Abstract: The efficiency of the residue number system (RNS) depends not only on the residue-to-binary converters but also the operand sizes and the modulus in each residue channel. Due to their special number theoretic properties, RNS with a moduli set consisting of moduli in the form of 2^n plus/minus 1 is more attractive than those with other forms of moduli. In this paper, a new five-moduli set RNS 2^n-1, 2^n, 2^n+1, 2^(n+1)+1, 2^(n-1)-1, for even is proposed. The new moduli set has a dynamic range of (5n-1) bits. It incorporates two additional moduli to the celebrated threemoduli set, 2^n-1, 2^n, 2^n+1, with VLSI efficient implementations for both the binary-to-residue conversion and the residue arithmetic units. This extension increases the parallelism and reduces the size of each residue channel for a given dynamic range. The proposed residue-to-binary converter relies on the properties of an efficient residue-to-binary conversion algorithm for 2^n-1, 2^n, 2^n+1, 2^(n +1)-1, and the mixed-radix conversion (MRC) technique for the two-moduli set RNS. The hardware implementation of the proposed residue-to-binary converter employs adders as the primitive operators. Besides, it can be easily pipelined to attain a high throughput rate.
Subject: DRNTU::Engineering::Electrical and electronic engineering
Type: Journal Article
Series/ Journal Title: IEEE transactions on circuits and systems-I : regular papers
School: School of Electrical and Electronic Engineering
Rights: IEEE Transactions on Circuits and Systems-I: Regular Papers © copyright 2007 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. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. http://www.ieee.org/portal/site.
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