Novel RNS-to-binary converters for the three-moduli set {2m − 1, 2m, 2m + 1}
In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2 m − 1, 2 m , 2 m + 1} are presented. The proposed reverse converters are evaluated and compared to reverse converters proposed earlier in literature using Chinese Remainde...
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Veröffentlicht in: | Sadhana (Bangalore) 2019-04, Vol.44 (4), p.1-10, Article 99 |
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creator | Phalguna, P S Kamat, Dattaguru V Mohan, P V Ananda |
description | In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2
m
− 1, 2
m
, 2
m
+ 1} are presented. The proposed reverse converters are evaluated and compared to reverse converters proposed earlier in literature using Chinese Remainder Theorem (CRT) and New CRT for this moduli set as well as two four-moduli sets {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
− 1} and {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
+ 1} regarding hardware requirement and conversion time. |
doi_str_mv | 10.1007/s12046-019-1078-0 |
format | Article |
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m
− 1, 2
m
, 2
m
+ 1} are presented. The proposed reverse converters are evaluated and compared to reverse converters proposed earlier in literature using Chinese Remainder Theorem (CRT) and New CRT for this moduli set as well as two four-moduli sets {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
− 1} and {2
n
− 1, 2
n
, 2
n
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n
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m
− 1, 2
m
, 2
m
+ 1} are presented. The proposed reverse converters are evaluated and compared to reverse converters proposed earlier in literature using Chinese Remainder Theorem (CRT) and New CRT for this moduli set as well as two four-moduli sets {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
− 1} and {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
+ 1} regarding hardware requirement and conversion time.</description><subject>Conversion</subject><subject>Converters</subject><subject>Engineering</subject><subject>Number systems</subject><subject>Residue number systems</subject><issn>0256-2499</issn><issn>0973-7677</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LAzEQDaJgrf4AbwseNTrJbr6OIn5BqeDXNexmE23pbmqyLYgIHvXqT-wvMUsFTx5m5g2894Z5CO0TOCYA4iQSCgXHQBQmICSGDTQAJXIsuBCbCVPGMS2U2kY7MU4BqACZD9Dj2C_tLLsd3-HO42rSluE1M75d2tDZEDPnQ9Y921TBWtz4ejGbZNF22RttVh9fq8_v1MlRRpu-Ej7s9_ddtOXKWbR7v3OIHi7O78-u8Ojm8vrsdIRNzlSHee1oVdWVcYYUvACpBJHO1o4xIyvu6pJVlSWMCkONEqag0lJbC8cM8FKqfIgO1r7z4F8WNnZ66hehTSc1JUryPIecJRZZs0zwMQbr9DxMmvSpJqD7-PQ6Pp3i0318GpKGrjUxcdsnG_6c_xf9AAO_dcM</recordid><startdate>20190401</startdate><enddate>20190401</enddate><creator>Phalguna, P S</creator><creator>Kamat, Dattaguru V</creator><creator>Mohan, P V Ananda</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190401</creationdate><title>Novel RNS-to-binary converters for the three-moduli set {2m − 1, 2m, 2m + 1}</title><author>Phalguna, P S ; Kamat, Dattaguru V ; Mohan, P V Ananda</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-6df2bbdbcfc1464089718fedf55c8b6fda5bbe1527c2c97c428e2ed7f5c06a893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Conversion</topic><topic>Converters</topic><topic>Engineering</topic><topic>Number systems</topic><topic>Residue number systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Phalguna, P S</creatorcontrib><creatorcontrib>Kamat, Dattaguru V</creatorcontrib><creatorcontrib>Mohan, P V Ananda</creatorcontrib><collection>CrossRef</collection><jtitle>Sadhana (Bangalore)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Phalguna, P S</au><au>Kamat, Dattaguru V</au><au>Mohan, P V Ananda</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Novel RNS-to-binary converters for the three-moduli set {2m − 1, 2m, 2m + 1}</atitle><jtitle>Sadhana (Bangalore)</jtitle><stitle>Sādhanā</stitle><date>2019-04-01</date><risdate>2019</risdate><volume>44</volume><issue>4</issue><spage>1</spage><epage>10</epage><pages>1-10</pages><artnum>99</artnum><issn>0256-2499</issn><eissn>0973-7677</eissn><abstract>In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2
m
− 1, 2
m
, 2
m
+ 1} are presented. The proposed reverse converters are evaluated and compared to reverse converters proposed earlier in literature using Chinese Remainder Theorem (CRT) and New CRT for this moduli set as well as two four-moduli sets {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
− 1} and {2
n
− 1, 2
n
, 2
n
+ 1, 2
n
+1
+ 1} regarding hardware requirement and conversion time.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12046-019-1078-0</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record> |
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issn | 0256-2499 0973-7677 |
language | eng |
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source | Indian Academy of Sciences; EZB-FREE-00999 freely available EZB journals; SpringerLink Journals - AutoHoldings |
subjects | Conversion Converters Engineering Number systems Residue number systems |
title | Novel RNS-to-binary converters for the three-moduli set {2m − 1, 2m, 2m + 1} |
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