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Optical Engineering

Optical implementation of high-accuracy computing based on interval arithmetic and fixed point theorem
Author(s): Toru Sasaki; Jun Tanida; Yoshiki Ichioka
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Paper Abstract

We experimentally implement a new method for high- accuracy optical computing using interval arithmetic and the fixed-point theorem. In the implementation, a fixed point of an affine transformation is calculated by a Tv feedback system. Employing interval arithmetic, the errors associated with an optical setup can be ignored. We evaluate two constraints on the optical system that seriously affect computing efficiency. The minimum value of computational accuracy achieved is 10-13, which is determined by the control accuracy of the required affine transformation coefficients.

Paper Details

Date Published: 1 March 1999
PDF: 5 pages
Opt. Eng. 38(3) doi: 10.1117/1.602126
Published in: Optical Engineering Volume 38, Issue 3
Show Author Affiliations
Toru Sasaki, Osaka Univ. (Japan)
Jun Tanida, Osaka Univ. (Japan)
Yoshiki Ichioka, Osaka Univ. (Japan)


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