Novel RNS-to-binary converters for the three-moduli set {2m 2 1, 2m, 2m +1}

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

doi:10.1007/s12046-019-1078-0

Novel RNS-to-binary converters for the three-moduli set {2m 2 1, 2m, 2m +1}

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2m-1, 2m, 2m + 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.

Original language	English
Article number	99
Journal	Sadhana - Academy Proceedings in Engineering Sciences
Volume	44
Issue number	4
DOIs	https://doi.org/10.1007/s12046-019-1078-0
Publication status	Published - 01-01-2019

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title = "Novel RNS-to-binary converters for the three-moduli set \{2m 2 1, 2m, 2m +1\}",

abstract = " In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set \{2m-1, 2m, 2m + 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. ",

author = "Phalguna, \{P. S.\} and Kamat, \{Dattaguru V.\} and Mohan, \{P. V.Ananda\}",

note = "Publisher Copyright: {\textcopyright} Indian Academy of Sciences.",

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AU - Phalguna, P. S.

AU - Kamat, Dattaguru V.

AU - Mohan, P. V.Ananda

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2m-1, 2m, 2m + 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.

AB - In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2m-1, 2m, 2m + 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.

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JO - Sadhana - Academy Proceedings in Engineering Sciences

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Novel RNS-to-binary converters for the three-moduli set {2m 2 1, 2m, 2m +1}

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