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Principle and design of ternary optical accumulator implementing M-k-B addition

机译：实现M-k-B相加的三元光累加器的原理与设计

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摘要

In this paper, we focus on the M-k-B addition of the form M + B_1 + B_2 +... + B_k based on an optical approach, where M is a modified signed-digit number and B,'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 M_0 + B_1 + B_2 +... + B_k is easily completed.
机译：在本文中，我们基于光学方法，重点研究了M + B_1 + B_2 + ... + B_k形式的M-k-B加法，其中M是修改的带符号数字，B是二进制数字。我们提出了三个变换C，P和R，以及M和B的无进位并行加法算法。基于这些变换，提出了累加计算M-k-B，它表示仅需要2k步即可并行完成加法。然后，设计了用于C，P和R变换的光学结构以及实现M + B的加法器。此外，提出了一种三重光学加法器的光电实现，以利用重构方法实现M-1-B结构。另外，对2位M-2-B三进制加法器进行了光学实验，以证明M-k-B加法器的可行性。这项工作表明，以M_0 + B_1 + B_2 + ... + B_k形式进行的并行无进位加法很容易完成。

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  • 来源
    《Optical engineering》 |2014年第9期|095108.1-095108.8|共8页
  • 作者

    Yunfu Shen; Benpeng Jiang; Yi Jin; Ouyang Shan; Junjie Peng;

  • 作者单位

    Shanghai University, School of Computer Engineering and Science, Shanghai 200444, China;

    Shanghai University, School of Computer Engineering and Science, Shanghai 200444, China;

    Shanghai University, School of Computer Engineering and Science, Shanghai 200444, China;

    Shanghai University, School of Computer Engineering and Science, Shanghai 200444, China;

    Shanghai University, School of Computer Engineering and Science, Shanghai 200444, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    ternary optical computer; modified signed-digit; reconfiguration; transform; M-k-B addition;

    机译：三元光学计算机;修改的有符号数字;重新配置;转变;M-k-B加法;

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