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Residue Number Systems

Algorithms and Architectures

  • P. V. Ananda Mohan

Table of contents

  1. Front Matter
    Pages i-xiii
  2. P. V. Ananda Mohan
    Pages 2-10
  3. P. V. Ananda Mohan
    Pages 97-144
  4. P. V. Ananda Mohan
    Pages 145-169
  5. P. V. Ananda Mohan
    Pages 171-186
  6. P. V. Ananda Mohan
    Pages 187-198
  7. P. V. Ananda Mohan
    Pages 199-234
  8. P. V. Ananda Mohan
    Pages 235-251
  9. Back Matter
    Pages 253-254

About this book

Introduction

There has been continuing interest in the improvement of the speed of Digital Signal processing. The use of Residue Number Systems for the design of DSP systems has been extensively researched in literature. Szabo and Tanaka have popularized this approach through their book published in 1967. Subsequently, Jenkins and Leon have rekindled the interest of researchers in this area in 1978, from which time there have been several efforts to use RNS in practical system implementation. An IEEE Press book has been published in 1986 which was a collection of Papers. It is very interesting to note that in the recent past since 1988, the research activity has received a new thrust with emphasis on VLSI design using non­ ROM based designs as well as ROM based designs as evidenced by the increased publications in this area. The main advantage in using RNS is that several small word-length Processors are used to perform operations such as addition, multiplication and accumulation, subtraction, thus needing less instruction execution time than that needed in conventional 16 bitl32 bit DSPs. However, the disadvantages of RNS have b. een the difficulty of detection of overflow, sign detection, comparison of two numbers, scaling, and division by arbitrary number, RNS to Binary conversion and Binary to RNS conversion. These operations, unfortunately, are computationally intensive and are time consuming.

Keywords

VLSI algorithm algorithms computation detection digital signal processor

Authors and affiliations

  • P. V. Ananda Mohan
    • 1
  1. 1.I.T.I. LimitedBangaloreIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-0997-4
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5343-0
  • Online ISBN 978-1-4615-0997-4
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site