一种新的光学向量-矩阵乘法

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (6): 34-37.

一种新的光学向量-矩阵乘法

王先超^1，2，姚云飞¹，陈蕴¹

1.阜阳师范学院数学与计算科学学院，安徽阜阳 236041
2.上海大学计算机工程与科学学院，上海 200072

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-02-21 发布日期:2011-02-21

New optical vector-matrix multiplication

WANG Xianchao^1，2，YAO Yunfei¹，CHEN Yun¹

1.School of Mathematics and Computational Science，Fuyang Normal College，Fuyang，Anhui 236041，China
2.School of Computer Engineering and Science，Shanghai University，Shanghai 200072，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-02-21 Published:2011-02-21

摘要/Abstract

摘要： 在三值光计算机上实现光学向量-矩阵乘法。为了利用光的并行性，研究使用MSD数字系统。在该数字系统上应用全并行无进位加法和M变换实现光学向量-矩阵乘法。为了提高效率，利用M变换以全并行的方式生成部分积，而后采用了二叉迭代法来求向量内积。实验证明了其可行性和正确性。由于该系统在信息表达上将光强与光的偏振性结合起来，所以在解码时不需要测量光强，只需判断光的有无即可，提高了运算精度和速度。

关键词: 改进的符号数（MSD）, 二叉迭代法, 三值光计算机, 部分积, 向量内积

Abstract: This paper implements Optical Vector-Matrix Multiplication（OVMM） in totally parallel on a novel optical computing architecture，Ternary Optical Computer（TOC），by use of Modified Signed-Digit（MSD） number system.For higher efficiency，partial products（PP’s） are generated in parallel via M transformation，and the products of two numbers and the Vector Inner Products（VIP’s） are produced using binary-tree algorithm.Finally，an experiment verifies the feasibility and correctness of OVMM on Ternary Optical computer.It is not necessary to gauge light intensities but to judge whether there is light during decoding.As a result，it eliminates the need for A-Ds at the output，thus that the operating accuracy and speed are both improved significantly.

Key words: Modified Signed-Digit, binary-tree algorithm, ternary optical computer, partial product, vector inner product

王先超^1，2，姚云飞¹，陈蕴¹. 一种新的光学向量-矩阵乘法[J]. 计算机工程与应用, 2011, 47(6): 34-37.

WANG Xianchao^1，2，YAO Yunfei¹，CHEN Yun¹. New optical vector-matrix multiplication[J]. Computer Engineering and Applications, 2011, 47(6): 34-37.