A new RNS to mixed-radix number converter using modulo (2/sup p/ - 1) signed-digit arithmetic

A new RNS to mixed-radix number converter using modulo (2/sup p/ - 1) signed-digit arithmetic
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使用模 (2/sup p/ - 1) 有符号数字算术的新 RNS 到混合基数转换器

DOI:
10.1109/apccas.2004.1412774
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发表时间:
2004
期刊:
The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, 2004. Proceedings.
影响因子:
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通讯作者:
K. Shimizu
K. Shimizu
中科院分区:
--
文献类型:
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作者:
Shugang Wei;K. Shimizu

文献摘要

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本文提出了一种用符号数(SD)算法实现剩余数制(RNS)数到混合基数制数转换的硬件算法。在RNS的每个剩余位中,整数mi =(2 Pi- 1)被用作模,并且模m加法和乘法可以分别由末端循环进位SD加法器和二进制模m SD加法器树执行。因此,利用所提出的模m SD加法器和乘法器可以设计高速转换器
In this paper, a hardware algorithm converting the numbers in a residue number system (RNS) to that in a mixed-radix number system by using signed-digit (SD) arithmetic is presented. In each residue digit of the RNS, integers mi = (2Pi - 1) are used as the moduli and the modulo m addition and multiplication can be performed by an end-around-carry SD adder and a binary modulo m SD adder tree, respectively. Thus a high speed converter can be designed by using the proposed modulo m SD adders and multipliers