Efficient VLSI Design for RNS Reverse Converter Based on New Moduli Set (2n¿1, 2n+1, 22n+1)

Lin, Su-Hon; Sheu, Ming‐Hwa; Lin, Jing-Shiun; Sheu, Wen-Tsai

doi:10.1109/apccas.2006.342285

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2013

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“…New CRT-I {2 α ,2 β -1,2 β +1} (α<β) [24] -1AHA -THA {2 2n+1 ,2 n -1,2 n +1} [17] -1AHA -THA {2 n -1,2 n +1,2 2n ,2 2n +1} [23] -2AHA 0 {2 n -1,2 n ,2 n +1, 2 2n +1} [3] 0 0…”

Section: Methodsunclassified

Reverse converters for RNSs with diminished-one encoded channels

2013

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The diminished-one encoding is often considered when representing the operands in the modulo 2 k +1 channels of a Residue Number System (RNS) since it can offer increased arithmetic processing speed. However, limited research is available on the design of residue-to-binary (reverse) converters for RNSs that use the diminished-one encoding in one or more channels. In this paper we introduce a simple methodology for designing such converters which can be applied to reverse converters based on the Chinese Remainder Theorem (CRT) or the New CRT-I method. Efficient converters for three moduli sets, covering different dynamic ranges, are also analytically presented. The proposed converters are shown to be area, delay and power efficient for several moduli sets.

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“…New CRT-I {2 α ,2 β -1,2 β +1} (α<β) [24] -1AHA -THA {2 2n+1 ,2 n -1,2 n +1} [17] -1AHA -THA {2 n -1,2 n +1,2 2n ,2 2n +1} [23] -2AHA 0 {2 n -1,2 n ,2 n +1, 2 2n +1} [3] 0 0…”

Section: Methodsunclassified

Reverse converters for RNSs with diminished-one encoded channels

2013

View full text Add to dashboard Cite

show abstract

Efficient VLSI Design for RNS Reverse Converter Based on New Moduli Set (2n¿1, 2n+1, 22n+1)

Cited by 1 publication

References 7 publications

Reverse converters for RNSs with diminished-one encoded channels

Reverse converters for RNSs with diminished-one encoded channels

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