How large can an optical matrix-matrix multiplier be constructed?

Yao Li; Berlin Ha

doi:10.1117/12.179119

29 June 1994 How large can an optical matrix-matrix multiplier be constructed?

Yao Li, Berlin Ha

Author Affiliations +

Proceedings Volume 2240, Advances in Optical Information Processing VI; (1994) https://doi.org/10.1117/12.179119
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

In this talk, based on the key operations governing all these matrix-matrix multipliers, we propose a statistical model to quantitatively analyze the numerical accuracy that these multipliers could deliver. Our study indicates that no matter what particular scheme is used, statistically the numerical accuracy limit caused by the use of analog computation mechanism is much more serious than the dynamic range and other limits to a matrix-matrix multiplier. Our study also shows that when these multipliers are used for, instead of generating algebraic results, the single threshold operations, such as the operations required to implement a programmable logic array, a content- addressable memory, and a neural network, a better accuracy can be expected depending on the used threshold positions.

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Yao Li and Berlin Ha "How large can an optical matrix-matrix multiplier be constructed?", Proc. SPIE 2240, Advances in Optical Information Processing VI, (29 June 1994); https://doi.org/10.1117/12.179119

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