About: Efficient Reverse Converter and Residue Comparator Based on a Novel Algorithm for Reverse Conversion

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Description	This paper presents a novel algorithm for performing reverse conversion in the residue number system (RNS) based on the moduli set {2n – 1, 2n, 2n + 1}. The majority of the papers regarding the reverse converters are principally based on one of the following algorithms; the mixed radix conversion (MRC), the Chinese remainder theorem (CRT) and the new Chinese remainder theorems (new CRTs). The proposed algorithm is simpler and does not require multiplicative inverses neither performing multiplication operations. Moreover, a residue to binary converter and a residue comparator based on the proposed algorithm are presented too. The proposed components provide attractive characteristics in systems with medium to large dynamic ranges. They can operate at considerably higher frequencies than their counterparts can. The proposed reverse converter and residue comparator are implemented on Spartan-3E FPGA. The implementation results and comparisons proved the efficiency and superiority of the proposed algori This paper presents a novel algorithm for performing reverse conversion in the residue number system (RNS) based on the moduli set {2n – 1, 2n, 2n + 1}. The majority of the papers regarding the reverse converters are principally based on one of the following algorithms; the mixed radix conversion (MRC), the Chinese remainder theorem (CRT) and the new Chinese remainder theorems (new CRTs). The proposed algorithm is simpler and does not require multiplicative inverses neither performing multiplication operations. Moreover, a residue to binary converter and a residue comparator based on the proposed algorithm are presented too. The proposed components provide attractive characteristics in systems with medium to large dynamic ranges. They can operate at considerably higher frequencies than their counterparts can. The proposed reverse converter and residue comparator are implemented on Spartan-3E FPGA. The implementation results and comparisons proved the efficiency and superiority of the proposed algori (en)
Title	Efficient Reverse Converter and Residue Comparator Based on a Novel Algorithm for Reverse Conversion Efficient Reverse Converter and Residue Comparator Based on a Novel Algorithm for Reverse Conversion (en)
skos:prefLabel	Efficient Reverse Converter and Residue Comparator Based on a Novel Algorithm for Reverse Conversion Efficient Reverse Converter and Residue Comparator Based on a Novel Algorithm for Reverse Conversion (en)
skos:notation	RIV/00216305:26220/13:PU104183!RIV14-MPO-26220___
http://linked.open...avai/predkladatel	Fakulta elektrotechniky a komunikačních technologií
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(FR-TI3/485), S
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Younes, Dina
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta elektrotechniky a komunikačních technologií
http://linked.open...dnocenehoVysledku	72088
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/13:PU104183
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Residue number system, reverse converter, residue Comparator, {2n – 1, 2n, 2n + 1}, the new CRT - I (en)
http://linked.open.../riv/klicoveSlovo	{2n – 1 2n 2n + 1} residue Comparator reverse converter the new CRT - I Residue number system
http://linked.open...odStatuVydavatele	MU - Mauricijská republika
http://linked.open...ontrolniKodProRIV	[8C68B85E6CA8]
http://linked.open...i/riv/nazevZdroje	International Journal of Computer Science Issues
http://linked.open...in/vavai/riv/obor	JA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Engineering structure state monitoring by the means of electrically conductive elements with modified cement matrix
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	10
http://linked.open...iv/tvurceVysledku	Šteffan, Pavel Younes, Dina
issn	1694-0784
number of pages	7 (xsd:int)
http://localhost/t...ganizacniJednotka	26220

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