第24卷第2期
2016年2月文章编号
1004-924X(2016)02-0438-10
光学精密工程
Optics and Precision Engineering
三旋光结构一步无进位加法器的设计
宋凯“
（华东交通大学信息工程学院，江西南昌330013）
Vol. 24No.2
Feb.2016
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围难，输人有限定性等间题，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一三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，对输人没有限制，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，并具有众多数据数并行运算的潜力。关键调：三旋光结构；-步无进位加法器；光路；电路；MSD加法
中图分类号：TP381;TP301
文献标识码：A
doi;10.3788/OPE.20162402.0438
Design of one-step carry-freeadder withthree-rotator structure
SONG Kai'
(School of Infornation Engineering,East China Jiaotong Uniuersity,Nanchang 330013,China)
*Correspondingauthor,E-mail:skpark@163.com
Abstract: The research of optical adders for modern optical computers suffers from hardware imple mentation 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 de signed 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.
Key words: three rotator structure; one-step carry-free adder; optical path; circuit; MSD addition
收稿日期：2015-09-23；修订日期：2015-11-12.
基金项目：国家自然科学基金资助项目（No.61162001)；江西省自然（青年）科学基金资助项目（No
20132BAB211027,No,20151BAB217017)