Residue Number Systems: Algorithms and Architectures / Edition 1

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This text is an excellent reference for both professional and academic researchers in the field of VLSI using residue number systems. It is also of interest to those working in the general fields of VLSI design, DSP design, and cryptography.

Topics covered include choice of moduli; architectures for conversion from binary to RNS; RNS to binary conversion techniques; quadratic RNS; and applications. Numerous examples illustrate the ideas developed. The area and computational requirements are highlighted for all designs, so the selection of a particular architecture is facilitated. Some of the topics covered have application in cryptography. The book includes a comprehensive bibliography in this area.

Residue Number Systems: Algorithms and Architectures is also suitable for a graduate-level course as part of a VLSI curriculum.

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Editorial Reviews

From The Critics
This introduction to residue number systems (RNS), for designers of VLSI systems, covers basics of RNS, techniques for RNS-to-binary conversion using Mixed Radix conversion and the Chinese remainder theorem, and techniques of binary-to-RNS conversion for general moduli. Realizations of Fast RNS multipliers, scaling and base extension, error detection and correction, and a quadratic RNS are also discussed. Applications are explored for implementation of FIR filters, IIR filters, adaptive filters, digital frequency synthesis, and 2-D filters. The audience for the book includes graduate students, researchers, and custom VLSI designers in industry. The author works in the private sector. Annotation c. Book News, Inc., Portland, OR (
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Product Details

Table of Contents

1. Introduction.
2. Forward and Reverse converters for general moduli set.
3. Forward and reverse converters for general moduli set (2k-1,2k,2k+1).
4. Multipliers for RNS.
5. Base extensions, scaling and division techniques.
6. Error detection and correction in RNS.
7. Quadratic residue number systems.
8. Applications of residue number systems.
9. References.

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