One-step high-radix signed-digit arithmetic units based on classified joint spatial encoding

A. Cherri, N.I. Khachab
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Abstract

A simple one-step fully-parallel high-radix signed-digit arithmetic is proposed for parallel optical computing based on new joint spatial encodings. The high-radix signed-digit arithmetic operations are based on classifying the neighboring input digit pairs into various groups in order to reduce the computation rules. A new joint spatial encoding technique is developed to present both the operands and the computation rules. This technique increases the spatial bandwidth product (SBWP) of the spatial light modulators (SLM) of the system. It will be shown that our one-step TSD and QSD arithmetic units are much simpler and better than all previously reported high-radix signed-digit techniques.
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基于分类联合空间编码的一步高基数符号数算术单元
基于新的联合空间编码,提出了一种简单的一步全并行高基数符号数并行光学计算算法。高基数的符号数算术运算是基于将相邻的输入数字对分成不同的组,以减少计算规则。提出了一种新的联合空间编码技术来同时表示操作数和计算规则。该技术提高了系统空间光调制器的空间带宽积(SBWP)。我们的一步TSD和QSD算术单元比以前报道的所有高基数符号数字技术更简单和更好。
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