RNS-to-Binary Converters for New Three-Moduli Sets {2k - 3, 2k - 2, 2k - 1} and {2k + 1, 2k + 2, 2k + 3}

P. S. Phalguna, Dattaguru V. Kamat, P. V. Ananda Mohan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, mixed radix conversion (MRC)-based residue number system (RNS)-to-binary converters for two new three-moduli sets {2k-3, 2k-2, 2k-1} and {2k+1, 2k+2, 2k+3} which are derived from the moduli set {2m+1, 2m, 2m-1} are presented. These have the advantage of having one modulus of the form 2k-1 or 2k+1 simplifying computations in one residue channel. The proposed reverse converters are evaluated and compared with state-of-the-art reverse converters proposed in literature for other three-moduli sets regarding hardware requirement and conversion time.

Original languageEnglish
Article number1850224
JournalJournal of Circuits, Systems and Computers
Volume27
Issue number14
DOIs
Publication statusPublished - 31-12-2018

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Numbering systems
Hardware

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Electrical and Electronic Engineering

Cite this

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title = "RNS-to-Binary Converters for New Three-Moduli Sets {2k - 3, 2k - 2, 2k - 1} and {2k + 1, 2k + 2, 2k + 3}",
abstract = "In this paper, mixed radix conversion (MRC)-based residue number system (RNS)-to-binary converters for two new three-moduli sets {2k-3, 2k-2, 2k-1} and {2k+1, 2k+2, 2k+3} which are derived from the moduli set {2m+1, 2m, 2m-1} are presented. These have the advantage of having one modulus of the form 2k-1 or 2k+1 simplifying computations in one residue channel. The proposed reverse converters are evaluated and compared with state-of-the-art reverse converters proposed in literature for other three-moduli sets regarding hardware requirement and conversion time.",
author = "Phalguna, {P. S.} and Kamat, {Dattaguru V.} and {Ananda Mohan}, {P. V.}",
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journal = "Journal of Circuits, Systems and Computers",
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RNS-to-Binary Converters for New Three-Moduli Sets {2k - 3, 2k - 2, 2k - 1} and {2k + 1, 2k + 2, 2k + 3}. / Phalguna, P. S.; Kamat, Dattaguru V.; Ananda Mohan, P. V.

In: Journal of Circuits, Systems and Computers, Vol. 27, No. 14, 1850224, 31.12.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - RNS-to-Binary Converters for New Three-Moduli Sets {2k - 3, 2k - 2, 2k - 1} and {2k + 1, 2k + 2, 2k + 3}

AU - Phalguna, P. S.

AU - Kamat, Dattaguru V.

AU - Ananda Mohan, P. V.

PY - 2018/12/31

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AB - In this paper, mixed radix conversion (MRC)-based residue number system (RNS)-to-binary converters for two new three-moduli sets {2k-3, 2k-2, 2k-1} and {2k+1, 2k+2, 2k+3} which are derived from the moduli set {2m+1, 2m, 2m-1} are presented. These have the advantage of having one modulus of the form 2k-1 or 2k+1 simplifying computations in one residue channel. The proposed reverse converters are evaluated and compared with state-of-the-art reverse converters proposed in literature for other three-moduli sets regarding hardware requirement and conversion time.

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