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三值光学计算机一种限制输入一步式MSD加法器
引用本文:沈云付,潘磊,金翊,彭俊杰,蒋本朋.三值光学计算机一种限制输入一步式MSD加法器[J].中国科学:信息科学,2012(7):869-881.
作者姓名:沈云付  潘磊  金翊  彭俊杰  蒋本朋
作者单位:上海大学计算机工程与科学学院,上海大学高性能计算中心
基金项目:上海市重点学科建设项目(批准号:J50103);国家自然科学基金(批准号:61103054)资助项目
摘    要:在已有三值光学MSD加法器研究工作的基础上,对限制输入符号的一步式MSD加法器进行了进一步研究.本文简要介绍了一般一步式MSD加法器的原理,其核心是"中位变换"、中位变换表和对应的中位变换器等概念.通过限制输入符号,得到了简化的2位中位变换表.通过分析这个2位中位变换表,获得了2位中位变换V子变换、U子变换和中位变换器主变换,设计了相应的变换器光路图.在此基础上,根据限制输入一步式MSD加法器原理设计了它的结构.通过对中位变换器和一步式MSD加法器的软件模拟以及实物实验,证明所设计的一步式MSD加法器有效.该加法器将成为三值光学计算机的基本部件之一.

关 键 词:三值光学计算机  一步式  MSD加法器  中位变换  中位变换器  中位变换表  加法器

One-step binary MSD adder for ternary optical computer
SHEN YunFu , PAN Lei, JIN Yi, PENG JunJie & JIANG BenPeng.One-step binary MSD adder for ternary optical computer[J].Scientia Sinica Techologica,2012(7):869-881.
Authors:SHEN YunFu  PAN Lei  JIN Yi  PENG JunJie & JIANG BenPeng
Institution:School of Computer Engineering and Science, High Performance Computing Center, Shanghai University, Shang-hai 200072, China
Abstract:On the basis of the research in MSD adder of Ternary Optical Computer (TOC), further work is carried out in one-step MSD adder with restricted input symbols. In this paper, the principle of general one-step MSD adder is introduced briefly. The core part of the principle can be reduced to the new conceptions of mid-bit transform, mid-bit transform table (MTT) and mid-bit transform unit (MTU). By restricting the input symbols, a simplified mid-bit transform table is obtained. Through the deep analysis to the simplified MTT, the sub- transforms V and U as well as the main transform of the mid-bit transform are obtained, and the corresponding optical graphs are designed. Based on these, the structure of one-step MSD adder with restricted input symbols is proposed and its structure is designed. The software simulation and experiment to the mid-bit transform and the one-step adder show that the designed one-step MSD adder is effective. The adder will be one of the basic components of the ternary optical computer.
Keywords:ternary optical computer  one-step MSD adder  mid-bit transform  mid-bit transform unit  mid-bit transform table  adder
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