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Forward and Reverse Converters and Moduli Set Selection in Signed-Digit Residue Number Systems
Halmstad University, School of Information Technology, Halmstad Embedded and Intelligent Systems Research (EIS), Centre for Research on Embedded Systems (CERES).
Department of Computer Science and Engineering, Chalmers University of Technology, Gothenburg, Sweden.
2009 (English)In: Journal of Signal Processing Systems, ISSN 1939-8018, E-ISSN 1939-8115, Vol. 56, no 1, p. 1-15Article in journal (Refereed) Published
Abstract [en]

This paper presents an investigation into using a combination of two alternative digital number representations; the residue number system (RNS) and the signed-digit (SD) number representation in digital arithmetic circuits. The combined number system is called RNS/SD for short. Since the performance of RNS/SD arithmetic circuits depends on the choice of the moduli set (a set of pairwise prime numbers), the purpose of this work is to compare RNS/SD number systems based on different sets. Five specific moduli sets of different lengths are selected. Moduli-set-specific forward and reverse RNS/SD converters are introduced for each of these sets. A generic conversion technique for moduli sets consisting of any number of elements is also presented. Finite impulse response (FIR) filters are used as reference designs in order to evaluate the performance of RNS/SD processing. The designs are evaluated with respect to delay and circuit area in a commercial 0.13 μm CMOS process. For the case of FIR filters it is shown that generic moduli sets with five or six moduli results in designs with the best area × delay products.

Place, publisher, year, edition, pages
Norwell, MA: Springer Science+Business Media B.V., 2009. Vol. 56, no 1, p. 1-15
Keywords [en]
Residue number system, Signed-digit, Moduli-selection, Converters, FIR filters
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hh:diva-1994DOI: 10.1007/s11265-008-0249-8ISI: 000265686400001Scopus ID: 2-s2.0-67349286497Local ID: 2082/2389OAI: oai:DiVA.org:hh-1994DiVA, id: diva2:239212
Available from: 2008-09-29 Created: 2008-09-29 Last updated: 2018-03-23Bibliographically approved

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Persson, AndreasBengtsson, Lars

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