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三旋光结构一步无进位加法器的设计
引用本文:宋凯.三旋光结构一步无进位加法器的设计[J].光学精密工程,2016,24(2):438-447.
作者姓名:宋凯
作者单位:华东交通大学 信息工程学院, 江西 南昌 330013
基金项目:国家自然科学基金资助项目,江西省自然(青年)科学基金资助项目
摘    要:针对现阶段光学计算机研究中涉及的光学加法器硬件制备困难,输入有限定性等问题,基于MSD(Modified Signed-Digit)加法原理及对称MSD编码技术,设计并实现了一种全新的光学加法器-三旋光结构一步式无进位加法器。阐述了该加法器的主光路结构设计过程和方案,给出了三旋光器抽象结构,分析和设计了控制光路的光路结构,并给出了易于硬件制备的电路实现具体方案。该加法器制备简单,对输入没有限制,并且可以一步并行完成数以千位的加法。针对上述光路和电路实现方案进行了实验验证,完成了13位以内的二进制数的无进位加法运算。实验结果表明:本文所设计的一步式无进位加法器原理正确、方案合理,并具有众多数据位数并行运算的潜力。

关 键 词:三旋光结构  一步无进位加法器  光路  电路  MSD加法
收稿时间:2015-09-23

Design of one-step carry-free adder with three-rotator structure
SONG Kai.Design of one-step carry-free adder with three-rotator structure[J].Optics and Precision Engineering,2016,24(2):438-447.
Authors:SONG Kai
Affiliation:School of Information Engineering, East China Jiaotong University, Nanchang 330013, China
Abstract:The research of optical adders for modern optical computers suffers from hardware implementation difficulties, limited qualitative inputs and so on, so this paper designs and complements a new optical adder. It is a three-rotator structure one-step adder with carry-free based on Modified Signed-Digit(MSD) addition theory and symmetry MSD coding technology. The paper describes the main optical structure design and programs of the adder in detail, gives the abstract structure of the three rotator, designs the optical structure of the control optical path, and offers specific programs of circuit implementation. The adder can easily be achieved, does not limit inputs, and can implement thousands of data-bit addition by a parallel model in a single step. Finally, specific experiments are designed to verify above optical structures and circuit scheme, and the carry-free binary addition of 13 data-bits is completed. Experimental results show that the principle of the one-step carry-free adder design is correct, the circuit scheme is reasonable, and it has great potential in the numerous data bit parallel computing.
Keywords:three rotator structure  one-step carry-free adder  optical path  circuit  MSD addition
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