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  2/2011 - 6

 HIGHLY CITED PAPER 

Improving the Delay of Residue-to-Binary Converter for a Four-Moduli Set

MOLAHOSSEINI, A. S. See more information about MOLAHOSSEINI, A. S. on SCOPUS See more information about MOLAHOSSEINI, A. S. on IEEExplore See more information about MOLAHOSSEINI, A. S. on Web of Science
 
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Download PDF pdficon (619 KB) | Citation | Downloads: 1,045 | Views: 3,943

Author keywords
Residue Number System (RNS), residue-to-binary converter, digital circuits, computer architecture, high-speed computer arithmetic

References keywords
systems(20), residue(19), moduli(16), binary(15), circuits(14), converter(13), efficient(8), converters(7), design(6), vlsi(5)
Blue keywords are present in both the references section and the paper title.

About this article
Date of Publication: 2011-05-30
Volume 11, Issue 2, Year 2011, On page(s): 37 - 42
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2011.02006
Web of Science Accession Number: 000293840500006
SCOPUS ID: 79958809141

Abstract
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The residue number system (RNS) is an unconventional number system which can be used to achieve high-performance hardware implementations of special-purpose computation systems such as digital signal processors. The moduli set {2n-1, 2n, 2n+1, 22n+1-1} has been recently suggested for RNS to provide large dynamic range with low-complexity, and enhancing the speed of internal RNS arithmetic circuits. But, the residue-to-binary converter of this moduli set relies on high conversion delay. In this paper, a new residue-to-binary converter for the moduli set {2n-1, 2n, 2n+1, 22n+1-1} using an adder-based implementation of new Chinese remainder theorem-1 (CRT-I) is presented. The proposed converter is considerably faster than the original residue-to-binary converter of the moduli set {2n-1, 2n, 2n+1, 22n+1-1}; resulting in decreasing the total delay of the RNS system.


References | Cited By  «-- Click to see who has cited this paper

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[CrossRef] [SCOPUS Times Cited 65]


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[10] A.S. Molahosseini, K. Navi, O. Hashemipour, A. Jalali, "An efficient architecture for designing reverse converters based on a general three-moduli set," Elsevier J. Systems Architecture, vol. 54, pp. 929, Oct. 2008.
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[CrossRef] [SCOPUS Record]


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[13] W. Wang, M. N. S. Swamy, M. O. Ahmad, and Y.Wang, "A high-speed residue-to-binary converter for three-moduli {2k, 2k -1, 2k -1-1} RNS and a scheme of its VLSI implementation," IEEE Trans. Circuits and Systems-II, vol. 47, pp. 1576, Dec. 2000.
[CrossRef] [Web of Science Times Cited 60] [SCOPUS Times Cited 77]


[14] W. Wang, M. N. S. Swamy, M. O. Ahmad, and Y.Wang, "A Study of the Residue-to-Binary Converters for the Three-Moduli Sets," IEEE Trans. Circuits and Systems-II, vol. 50, pp. 235, Feb. 2003.
[CrossRef] [Web of Science Times Cited 53] [SCOPUS Times Cited 71]


[15] P. V. A. Mohan, "RNS-To-Binary Converter for a New Three-Moduli Set {2n+1-1, 2n, 2n-1}," IEEE Trans. Circuits and Systems-II, vol. 54, pp. 775, Sep. 2007.
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[16] S.H. Lin, M.H. Sheu, and C.H. Wang, "Efficient VLSI Design of a Residue-to-Binary Converter for the moduli set (2n, 2n+1-1, 2n-1)," IEICE Trans. Information and Systems, vol. E91-D, pp.2058, Jul. 2008.
[CrossRef] [Web of Science Times Cited 12] [SCOPUS Times Cited 18]


[17] A.S. Molahosseini, C. Dadkhah, K. Navi, M. Eshghi, "Efficient MRC-Based Residue to Binary Converters for the New Moduli Sets {22n, 2n-1, 2n+1-1} and {22n, 2n-1, 2n-1-1}," IEICE Trans. Information and Systems, vol. E92-D, pp. 1628, Sep. 2009.
[CrossRef] [Web of Science Times Cited 11] [SCOPUS Times Cited 15]


[18] M. Bhardwaj , T. Srikanthan, C.T. Clarke, "A reverse converter for the 4-moduli superset {2n-1, 2n, 2n+1, 2n+1+1}," in Proc. of IEEE Symposium on Computer Arithmetic, Adelaide, 1999, pp. 168-175.
[CrossRef] [Web of Science Times Cited 23]


[19] A.P. Vinod and A.B. Premkumar, "A residue to binary converter for the 4-moduli superset {2n-1, 2n, 2n+1, 2n+1-1}," J. Circuits, Systems and Computers, vol. 10, pp. 85, 2000.
[CrossRef] [Web of Science Times Cited 44] [SCOPUS Times Cited 49]


[20] P. V. A. Mohan and A. B. Premkumar, "RNS-to-Binary Converters for Two Four-Moduli Set {2n-1, 2n, 2n+1, 2n+1-1} and {2n-1, 2n, 2n+1, 2n+1+1}," IEEE Trans. Circuits and Systems-I, vol. 54, pp. 1245, Jun. 2007.
[CrossRef] [Web of Science Times Cited 81] [SCOPUS Times Cited 95]


[21] M.H. Sheu, S.H. Lin, C. Chen and S.W. Yang, "An efficient VLSI design for a residue to binary converter for general balance moduli (2n-3, 2n+1, 2n-1, 2n+3)," IEEE Trans. Circuits and Systems-II, vol. 51, pp. 152, Mar. 2004.
[CrossRef] [Web of Science Times Cited 46] [SCOPUS Times Cited 63]


[22] P.V.A. Mohan, "New reverse converters for the moduli set {2n -3, 2n -1, 2n +1, 2n +3}," Elsevier J. Electronics and Communications (AEU), vol. 62, pp. 643, Oct. 2008.
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[23] B. Cao, C. H. Chang and T. Srikanthan, "An Efficient Reverse Converter for the 4-Moduli Set {2n-1, 2n, 2n+1, 22n+1} Based on the New Chinese Remainder Theorem," IEEE Trans. Circuits and Systems-I, vol. 50, pp. 1296, Oct. 2003.
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[24] W. Zhang , P. Siy, "An efficient design of residue to binary converter for four moduli set (2n-1,2n+1, 22n-2, 22n+1-3) based on new CRT II," Elsevier J. Information Sciences, vol. 178, pp. 264, Jan. 2008.
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[25] A.S. Molahosseini, K. Navi, C. Dadkhah, O. Kavehei, S. Timarchi, "Efficient Reverse Converter Designs for the New 4-Moduli Sets {2n¬-1, 2n, 2n+1, 22n+1-1} and {2n-1, 2n+1, 22n, 22n+1} Based on New CRTs," IEEE Trans. Circuits and Systems-I, vol. 57, pp. 823, Apr. 2010.
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[26] B. Cao, C.H. Chang and T. Srikanthan, "A Residue-to-Binary Converter for a New Five-Moduli Set," IEEE Trans. Circuits and Systems-I, vol. 54, pp. 1041, May 2007.
[CrossRef] [Web of Science Times Cited 67] [SCOPUS Times Cited 87]


[27] A.S. Molahosseini, C. Dadkhah and K. Navi "A New Five-Moduli Set for Efficient Hardware Implementation of the Reverse Converter," IEICE Electronics Express, vol. 6, pp. 1006, Jul. 2009.
[CrossRef] [Web of Science Times Cited 16] [SCOPUS Times Cited 16]


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[CrossRef] [Web of Science Times Cited 38] [SCOPUS Times Cited 45]


[30] K. H. Rosen. Elementary Number Theory and Its Application. Addison-Wesley, 1988.

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[32] S. J. Piestrak, "Design of residue generators and multioperand modular adders using carry-save adders," IEEE Trans. Computers, vol. 423, pp. 68, Jan. 1994.
[CrossRef] [Web of Science Times Cited 133] [SCOPUS Times Cited 159]




References Weight

Web of Science® Citations for all references: 1,448 TCR
SCOPUS® Citations for all references: 1,844 TCR

Web of Science® Average Citations per reference: 44 ACR
SCOPUS® Average Citations per reference: 56 ACR

TCR = Total Citations for References / ACR = Average Citations per Reference

We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more

Citations for references updated on 2022-10-02 16:13 in 163 seconds.




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