Scaling function based on Chinese remainder theorem applied to a recursive filter design

Implementation of IIR filters in residue number system (RNS) architecture is more complex in comparison to FIR filters, due to introduction of the scaling function. This function performs operation of division by a constant factor, which is usually the power of two, and after that the opera...

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Main Authors:	Stamenković Negovan, Živaljević Dragana, Stojanović Vidosav
Format:	Article
Language:	English
Published:	Faculty of Technical Sciences in Cacak 2014-01-01
Series:	Serbian Journal of Electrical Engineering
Subjects:	residue arithmetic digital arithmetic Scaling Chinese remainder theorem
Online Access:	http://www.doiserbia.nb.rs/img/doi/1451-4869/2014/1451-48691400026S.pdf

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record_format	Article
spelling	doaj-d8f159407ddf46db8d68bddb06b1c6c52020-11-24T22:14:44ZengFaculty of Technical Sciences in CacakSerbian Journal of Electrical Engineering1451-48692217-71832014-01-0111336537710.2298/SJEE140213026S1451-48691400026SScaling function based on Chinese remainder theorem applied to a recursive filter designStamenković Negovan0Živaljević Dragana1Stojanović Vidosav2University of Priština (at K. Mitrovica), Faculty of Natural Science, Kosovska Mitrovica, SerbiaUniversity of Niš, Faculty of Electronic Engineering, Niš, SerbiaUniversity of Niš, Faculty of Electronic Engineering, Niš, SerbiaImplementation of IIR filters in residue number system (RNS) architecture is more complex in comparison to FIR filters, due to introduction of the scaling function. This function performs operation of division by a constant factor, which is usually the power of two, and after that the operation of rounding. In that way dynamic range reduction in digital systems is achieved. There are different methods for scaling operation implementation, already presented in references. In this paper, some RNS dynamic reduction techniques have been analyzed and then application of one selected technique has been presented on example. In all RNS calculations the power of two moduli set {2n-1, 2n, 2n+1} has been applied. [Projekat Ministarstva nauke Republike Srbije, br. 32009TR]http://www.doiserbia.nb.rs/img/doi/1451-4869/2014/1451-48691400026S.pdfresidue arithmeticdigital arithmeticScalingChinese remainder theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Stamenković Negovan Živaljević Dragana Stojanović Vidosav
spellingShingle	Stamenković Negovan Živaljević Dragana Stojanović Vidosav Scaling function based on Chinese remainder theorem applied to a recursive filter design Serbian Journal of Electrical Engineering residue arithmetic digital arithmetic Scaling Chinese remainder theorem
author_facet	Stamenković Negovan Živaljević Dragana Stojanović Vidosav
author_sort	Stamenković Negovan
title	Scaling function based on Chinese remainder theorem applied to a recursive filter design
title_short	Scaling function based on Chinese remainder theorem applied to a recursive filter design
title_full	Scaling function based on Chinese remainder theorem applied to a recursive filter design
title_fullStr	Scaling function based on Chinese remainder theorem applied to a recursive filter design
title_full_unstemmed	Scaling function based on Chinese remainder theorem applied to a recursive filter design
title_sort	scaling function based on chinese remainder theorem applied to a recursive filter design
publisher	Faculty of Technical Sciences in Cacak
series	Serbian Journal of Electrical Engineering
issn	1451-4869 2217-7183
publishDate	2014-01-01
description	Implementation of IIR filters in residue number system (RNS) architecture is more complex in comparison to FIR filters, due to introduction of the scaling function. This function performs operation of division by a constant factor, which is usually the power of two, and after that the operation of rounding. In that way dynamic range reduction in digital systems is achieved. There are different methods for scaling operation implementation, already presented in references. In this paper, some RNS dynamic reduction techniques have been analyzed and then application of one selected technique has been presented on example. In all RNS calculations the power of two moduli set {2n-1, 2n, 2n+1} has been applied. [Projekat Ministarstva nauke Republike Srbije, br. 32009TR]
topic	residue arithmetic digital arithmetic Scaling Chinese remainder theorem
url	http://www.doiserbia.nb.rs/img/doi/1451-4869/2014/1451-48691400026S.pdf
work_keys_str_mv	AT stamenkovicnegovan scalingfunctionbasedonchineseremaindertheoremappliedtoarecursivefilterdesign AT zivaljevicdragana scalingfunctionbasedonchineseremaindertheoremappliedtoarecursivefilterdesign AT stojanovicvidosav scalingfunctionbasedonchineseremaindertheoremappliedtoarecursivefilterdesign
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Scaling function based on Chinese remainder theorem applied to a recursive filter design

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