4.3 Article

A new five-moduli set for efficient hardware implementation of the reverse converter

Journal

IEICE ELECTRONICS EXPRESS
Volume 6, Issue 14, Pages 1006-1012

Publisher

IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
DOI: 10.1587/elex.6.1006

Keywords

reverse converter; residue arithmetic; VLSI architectures

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In this paper, we propose an efficient hardware implementation of the reverse converter for the new five-moduli set {2(n), 2(n/2) - 1, 2(n/2) + 1, 2(n) + 1, 2(2n-1) - 1} for even n. The converter has a two-level architecture, and is based on combination of new Chinese remainder theorem 1 (New CRT-I) and mixed-radix conversion (MRC). The presented reverse converter has lower hardware requirements, and results in a significant reduction in the conversion delay, compared to the reverse converter of the latest introduced five-moduli set {2(n) - 1, 2(n), 2(n) + 1, 2(n-1) -1, 2(n+1) - 1} that has the same dynamic range as the proposed five-moduli set.

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