Efficient optical negabinary modified signed-digit arithmetic: one-step addition and subtraction algorithms

作     者：Cherri, AK Kamal, HA 

作者机构：Kuwait Univ Dept Elect Engn Safat 13060 Kuwait 

出 版 物：《OPTICAL ENGINEERING》 (光学工程)

年 卷 期：2004年第43卷第2期

页      面：420-425页

核心收录：

学科分类：08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 081102[工学-检测技术与自动化装置] 0811[工学-控制科学与工程] 0702[理学-物理学] 

基　　金：Kuwait University Research Administration 

主　　题：negative base system negabinary signed digit symbolic substitution carry-free arithmetic optical computing content-addressable memory parallel algorithms 

摘      要：Efficient one-step addition and subtraction algorithms are proposed. The arithmetic operations use the negabinary modified signed-digit number representation, which is an extension of the negabinary number system. Truth tables representing the required symbolic substitution computation rules are determined. Then a reduction of the number of the symbolic substitution computation rules is achieved by considering the digits in the lower positions of the negabinary modified signed digits in the computation. The proposed algorithms are very suitable for optical holographic and nonholographic implementations. An incoherent correlation based on the efficient shared content-addressable memory (SCAM) is suggested as an optoelectronics implementation. (C) 2004 Society of Photo-Optical Instrumentation Engineers.