Vector-Matrix Multiplication in Ternary Optical Computer

Vector-Matrix Multiplication in Ternary Optical Computer

Year:    2012

Author:    Y. Jin, X.-C. Wang, J.-J. Peng, M. Li, Z.-Y. Shen, S. Ou-Yang

International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 2 : pp. 401–409

Abstract

This paper proposes a new means to complete the optical vector-matrix multiplication (OVMM). The OVMM is implemented on a novel optical computing architecture, ternary optical computer (TOC) by using modified signed-digit (MSD) number system. In addition, this study realizes optical addition in three steps, independent of the length of the operands, by four transformations in MSD, and discusses the multiplication of two MSD numbers in detail. A preliminary experimentation about the OVMM is performed on TOC. It illustrates that the proposed method for OVMM is feasible and correct.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-IJNAM-637

International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 2 : pp. 401–409

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Parallel modified signed-digit no-carry addition basic operating unit partial sum.

Author Details

Y. Jin

X.-C. Wang

J.-J. Peng

M. Li

Z.-Y. Shen

S. Ou-Yang