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Forward and Reverse Converters and Moduli Set Selection in Signed-Digit Residue Number Systems
Högskolan i Halmstad, Akademin för informationsteknologi, Halmstad Embedded and Intelligent Systems Research (EIS), Centrum för forskning om inbyggda system (CERES).
Department of Computer Science and Engineering, Chalmers University of Technology, Gothenburg, Sweden.
2009 (engelsk)Inngår i: Journal of Signal Processing Systems, ISSN 1939-8018, E-ISSN 1939-8115, Vol. 56, nr 1, s. 1-15Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
Norwell, MA: Springer Science+Business Media B.V., 2009. Vol. 56, nr 1, s. 1-15
Emneord [en]
Residue number system, Signed-digit, Moduli-selection, Converters, FIR filters
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URN: urn:nbn:se:hh:diva-1994DOI: 10.1007/s11265-008-0249-8ISI: 000265686400001Scopus ID: 2-s2.0-67349286497Lokal ID: 2082/2389OAI: oai:DiVA.org:hh-1994DiVA, id: diva2:239212
Tilgjengelig fra: 2008-09-29 Laget: 2008-09-29 Sist oppdatert: 2022-09-13bibliografisk kontrollert

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