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Optical Engineering • Open Access

Principle and design of ternary optical accumulator implementing M-k-B addition
Author(s): Yunfu Shen; Benpeng Jiang; Yi Jin; Ouyang Shan; Junjie Peng

Paper Abstract

In this paper, we focus on the M-k-B addition of the form M+B1+B2+…+Bk based on an optical approach, where M is a modified signed-digit number and Bi’s are the binary numbers. We present three transforms C, P, and R and an algorithm of carry-free parallel addition of M and B. Based on these transforms, the accumulation computing M-k-B is proposed which indicates that it requires only 2k steps to complete the addition in parallel. Then, the optical structures for C, P, and R transforms as well as the adder realizing M+B are designed. Moreover, a photoelectric implementation of the ternary optical adder to realize M-1-B structure using the reconfiguration method is presented. Additionally, an optical experiment for 2-bit M-2-B ternary adder is carried out to demonstrate the feasibility of M-k-B adder. The work indicates that the parallel carry-free addition in form M0+B1+B2+…+Bk is easily completed.

Paper Details

Date Published: 26 September 2014
PDF: 8 pages
Opt. Eng. 53(9) 095108 doi: 10.1117/1.OE.53.9.095108
Published in: Optical Engineering Volume 53, Issue 9
Show Author Affiliations
Yunfu Shen, Shanghai Univ. (China)
Benpeng Jiang, Shanghai Univ. (China)
Yi Jin, Shanghai Univ. (China)
Ouyang Shan, Shanghai Univ. (China)
Junjie Peng, Shanghai Univ. (China)

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