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Proceedings Paper

Efficient second-order approximations for reciprocals and square roots
Author(s): Kent E. Wires; Michael J. Schulte
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Paper Abstract

This paper presents a high-speed method for approximating reciprocals and square roots. This method is based on piecewise second-order Taylor expansion, yet it requires one third as many coefficients and has less delay. It can be implemented using a table lookup, a multiplication and a merged operation, which has approximately the same area and delay as a multiplication. The table lookup and merged operation are independent and can be performed in parallel. To reduce the overall hardware requirements, this method can share hardware with an existing multiplier.

Paper Details

Date Published: 2 November 1999
PDF: 9 pages
Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); doi: 10.1117/12.367640
Show Author Affiliations
Kent E. Wires, Lehigh Univ. (United States)
Michael J. Schulte, Lehigh Univ. (United States)

Published in SPIE Proceedings Vol. 3807:
Advanced Signal Processing Algorithms, Architectures, and Implementations IX
Franklin T. Luk, Editor(s)

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