Computation of positional characteristics of numbers in RNS based on approximate method

Residue number system (RNS) can be emphasized among contemporary nonpositional number systems. Its features and nonpositional structure of calculations made it an effective tool for solving a number of resource-consuming tasks, such as digital signal processing, cryptography and so on. An important...

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Asıl Yazarlar:	Chervyakov, N. I., Червяков, Н. И., Babenko, M. G., Бабенко, М. Г., Deryabin, M. A., Дерябин, М. А., Nazarov, A. S., Назаров, А. С., Shabalina, M. N., Шабалина, М. Н.
Materyal Türü:	Статья
Dil:	English
Baskı/Yayın Bilgisi:	Institute of Electrical and Electronics Engineers Inc. 2018
Konular:	Numbering systems Signal processing Formatting Insert Style Styling
Online Erişim:	https://www.scopus.com/record/display.uri?eid=2-s2.0-84966495690&origin=resultslist&sort=plf-f&src=s&nlo=&nlr=&nls=&sid=e6027f3d604647eb3ce871ed4c40d556&sot=aff&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=174&s=AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29+OR+AF-ID%28%22Stavropol+State+University%22+60070961%29+OR+AF-ID%28%22stavropolskij+Gosudarstvennyj+Tehniceskij+Universitet%22+60026323%29&relpos=63&citeCnt=2&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/3272
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spelling	ir-20.500.12258-32722020-07-31T13:45:30Z Computation of positional characteristics of numbers in RNS based on approximate method Chervyakov, N. I. Червяков, Н. И. Babenko, M. G. Бабенко, М. Г. Deryabin, M. A. Дерябин, М. А. Nazarov, A. S. Назаров, А. С. Shabalina, M. N. Шабалина, М. Н. Numbering systems Signal processing Formatting Insert Style Styling Residue number system (RNS) can be emphasized among contemporary nonpositional number systems. Its features and nonpositional structure of calculations made it an effective tool for solving a number of resource-consuming tasks, such as digital signal processing, cryptography and so on. An important RNS feature is the ability to parallelize operations, that makes it effective when implemented in FPGA. However, positional calculations in RNS are difficult. An important task is to choose an algorithm to compute positional characteristics of numbers in RNS that would work quickly and require little resources. This paper proposes a method of calculating the approximate positional characteristics in order to compare and restore the positional notation of the numbers in RNS. The proposed technique is analyzed in terms of the required accuracy and applicability and compared with the known counterparts 2018-10-15T13:08:41Z 2018-10-15T13:08:41Z 2016 Статья Chervyakov, N.I., Babenko, M.G., Deryabin, M.A., Nazarov, A.S., Shabalina, M.N. Computation of positional characteristics of numbers in RNS based on approximate method // Proceedings of the 2016 IEEE North West Russia Section Young Researchers in Electrical and Electronic Engineering Conference, EIConRusNW 2016. - 2016. - Номер статьи 7448148. - Pages 177-179 https://www.scopus.com/record/display.uri?eid=2-s2.0-84966495690&origin=resultslist&sort=plf-f&src=s&nlo=&nlr=&nls=&sid=e6027f3d604647eb3ce871ed4c40d556&sot=aff&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=174&s=AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29+OR+AF-ID%28%22Stavropol+State+University%22+60070961%29+OR+AF-ID%28%22stavropolskij+Gosudarstvennyj+Tehniceskij+Universitet%22+60026323%29&relpos=63&citeCnt=2&searchTerm= http://hdl.handle.net/20.500.12258/3272 en Proceedings of the 2016 IEEE North West Russia Section Young Researchers in Electrical and Electronic Engineering Conference, EIConRusNW 2016 application/pdf application/pdf Institute of Electrical and Electronics Engineers Inc.
institution	СКФУ
collection	Репозиторий
language	English
topic	Numbering systems Signal processing Formatting Insert Style Styling
spellingShingle	Numbering systems Signal processing Formatting Insert Style Styling Chervyakov, N. I. Червяков, Н. И. Babenko, M. G. Бабенко, М. Г. Deryabin, M. A. Дерябин, М. А. Nazarov, A. S. Назаров, А. С. Shabalina, M. N. Шабалина, М. Н. Computation of positional characteristics of numbers in RNS based on approximate method
description	Residue number system (RNS) can be emphasized among contemporary nonpositional number systems. Its features and nonpositional structure of calculations made it an effective tool for solving a number of resource-consuming tasks, such as digital signal processing, cryptography and so on. An important RNS feature is the ability to parallelize operations, that makes it effective when implemented in FPGA. However, positional calculations in RNS are difficult. An important task is to choose an algorithm to compute positional characteristics of numbers in RNS that would work quickly and require little resources. This paper proposes a method of calculating the approximate positional characteristics in order to compare and restore the positional notation of the numbers in RNS. The proposed technique is analyzed in terms of the required accuracy and applicability and compared with the known counterparts
format	Статья
author	Chervyakov, N. I. Червяков, Н. И. Babenko, M. G. Бабенко, М. Г. Deryabin, M. A. Дерябин, М. А. Nazarov, A. S. Назаров, А. С. Shabalina, M. N. Шабалина, М. Н.
author_facet	Chervyakov, N. I. Червяков, Н. И. Babenko, M. G. Бабенко, М. Г. Deryabin, M. A. Дерябин, М. А. Nazarov, A. S. Назаров, А. С. Shabalina, M. N. Шабалина, М. Н.
author_sort	Chervyakov, N. I.
title	Computation of positional characteristics of numbers in RNS based on approximate method
title_short	Computation of positional characteristics of numbers in RNS based on approximate method
title_full	Computation of positional characteristics of numbers in RNS based on approximate method
title_fullStr	Computation of positional characteristics of numbers in RNS based on approximate method
title_full_unstemmed	Computation of positional characteristics of numbers in RNS based on approximate method
title_sort	computation of positional characteristics of numbers in rns based on approximate method
publisher	Institute of Electrical and Electronics Engineers Inc.
publishDate	2018
url	https://www.scopus.com/record/display.uri?eid=2-s2.0-84966495690&origin=resultslist&sort=plf-f&src=s&nlo=&nlr=&nls=&sid=e6027f3d604647eb3ce871ed4c40d556&sot=aff&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=174&s=AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29+OR+AF-ID%28%22Stavropol+State+University%22+60070961%29+OR+AF-ID%28%22stavropolskij+Gosudarstvennyj+Tehniceskij+Universitet%22+60026323%29&relpos=63&citeCnt=2&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/3272
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Computation of positional characteristics of numbers in RNS based on approximate method

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