Title
Sign Identifier for the Enhanced Three Moduli Set {2 n + k , 2 n - 1, 2 n+ 1 - 1}.
Abstract
The three-moduli set {2n,2n − 1,2n+ 1 − 1} started to receive more attention lately. This moduli set is considered an arithmetic-friendly set because it avoids the demanding channel (2n + 1) of the traditional 3-moduli set {2n,2n − 1,2n + 1}. This work considers an enhanced form of the above moduli set, {2n + k,2n − 1,2n+ 1 − 1}, and proposes a sign identifier for numbers within the dynamic range of the set. While the published sign identifiers have dealt with the unextended form {2n,2n − 1,2n+ 1 − 1}, this is the first sign identifier that deals with the extended form. Based on VLSI layout synthesis for the case (k = 0), the proposed structure has less or similar area and power requirements, nevertheless, it achieves an improved time performance in the range of (13.0–29.6)% compared with the most recent sign identifiers. When compared with a recently published residue-to-binary converter for the moduli set {2n + k,2n − 1,2n− 1 − 1}, which can function as a converter-based sign identifier, the proposed detector has on average reduced area, time, and power by 175%, 106%, and 60%, respectively.
Year
DOI
Venue
2019
10.1007/s11265-018-1434-z
Journal of Signal Processing Systems
Keywords
DocType
Volume
Residue number system, Computer arithmetic, Digital circuits, VLSI design
Journal
91
Issue
ISSN
Citations 
8
1939-8018
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Ahmad Hiasat110.69
Leonel Sousa21210145.50