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Proceedings Paper

Matrix-Tensor Multiplication Using Phase-Coded Optical Correlation
Author(s): Joseph E. Ford; Groff Bittner; Sing H. Lee; Shaya Fainman
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Paper Abstract

We present a parallel optical method of multiplying a two-dimensional input array by an arbitrary fourth-rank tensor to produce a 2-D output array. This process is equivalent to a crossbar interconnection of the input and output arrays. The algorithm works by arranging the interconnection tensor into a 2-D phase-coded image. The input is pre-coded by transmission through a conjugate phase mask, and then optically correlated with the connection image. The correlation plane contains the output array values in a noisy background. We show how the output signal to noise ratio (SNR) can be traded in for connection image size and complexity, and give theoretical calculations of average output SNR, along with computer simulations supporting these predictions. We describe a proposed reconfigurable optical interconnection system using this matrix-tensor multiplier implemented with four-wave mixing in photorefractive materials.

Paper Details

Date Published: 5 February 1990
PDF: 11 pages
Proc. SPIE 1151, Optical Information Processing Systems and Architectures, (5 February 1990); doi: 10.1117/12.962221
Show Author Affiliations
Joseph E. Ford, University of California (United States)
Groff Bittner, University of California (United States)
Sing H. Lee, University of California (United States)
Shaya Fainman, University of Michigan (United States)

Published in SPIE Proceedings Vol. 1151:
Optical Information Processing Systems and Architectures
Bahram Javidi, Editor(s)

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