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Volume 9, Issue 2
Vector-Matrix Multiplication in Ternary Optical Computer

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

Int. J. Numer. Anal. Mod., 9 (2012), pp. 401-409.

Published online: 2012-09

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65Y05, 65Y10, 68Q10, 68W10

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{IJNAM-9-401, author = {Jin , Y.Wang , X.-C.Peng , J.-J.Li , M.Shen , Z.-Y. and Ou-Yang , S.}, title = {Vector-Matrix Multiplication in Ternary Optical Computer}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/637.html} }
TY - JOUR T1 - Vector-Matrix Multiplication in Ternary Optical Computer AU - Jin , Y. AU - Wang , X.-C. AU - Peng , J.-J. AU - Li , M. AU - Shen , Z.-Y. AU - Ou-Yang , S. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 401 EP - 409 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/637.html KW - Parallel, modified signed-digit, no-carry addition, basic operating unit, partial sum. AB -

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.

Jin , Y.Wang , X.-C.Peng , J.-J.Li , M.Shen , Z.-Y. and Ou-Yang , S.. (2012). Vector-Matrix Multiplication in Ternary Optical Computer. International Journal of Numerical Analysis and Modeling. 9 (2). 401-409. doi:
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