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Extended precision logarithmic arithmetic.

Lookup NU author(s): Dr Nick Coleman

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Abstract

We present a technique with which arithmetic implemented in the Logarithmic Number System may be performed at considerably higher precision than normally available at 32 bits, with little additional hardware or execution time. Use of the technique requires that all data lie in a restricted range, and relies on scaling each such value into the maximum range of the number system. We illustrate the procedure using a Recursive Least Squares algorithm. We show that the restriction is easily accommodated, and that the technique can yield very substantial gains in accuracy and numerical stability over 32-bit floating-point.


Publication metadata

Author(s): Coleman JN, Kadlec J

Editor(s): Matthews, MB

Publication type: Conference Proceedings (inc. Abstract)

Publication status: Published

Conference Name: 34th Asilomar Conference on Signals, Systems, and Computers

Year of Conference: 2000

Pages: 124-129

ISSN: 1058-6393

Publisher: IEEE

Library holdings: Search Newcastle University Library for this item

Series Title: Conference Record of the Asilomar Conference on Signals, Systems and Computers

ISBN: 0780365143


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