Adder based residue to binary number converters for (2n-1, 2n, 2n+1)

Adder based residue to binary number converters for (2n-1, 2n, 2n+1)
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基于加法器的余数到二进制数转换器 (2n-1, 2n, 2n 1)

DOI:
10.1109/tsp.2002.1011216
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发表时间:
2002
影响因子:
5.4
通讯作者:
Hong Shen
Hong Shen
中科院分区:
工程技术1区
文献类型:
--
作者:
Yuke Wang;Xiaoyu Song;E. Aboulhamid;Hong Shen

文献摘要

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基于从中国新剩余定理I导出的一种算法,我们提出了三种新的剩余数系统(2/sup n/- 1,2 /sup n/, 2/sup n/+1)的剩余-二进制转换器,它们使用2n位或n位加法器,与以前的各种转换器相比,在速度、面积和动态范围上都有改进。基于2n位加法器的转换器速度更快,所需的硬件大约是以前方法的一半。对于基于n位加法器的实现,使用相同数量的硬件,一种新的转换器比以前的方法快两倍,而另一种新的转换器与以前的转换器相比,在速度、面积或动态范围方面都有所改进。
Based on an algorithm derived from the new Chinese remainder theorem I, we present three new residue-to-binary converters for the residue number system (2/sup n/-1, 2/sup n/, 2/sup n/+1) designed using 2n-bit or n-bit adders with improvements on speed, area, or dynamic range compared with various previous converters. The 2n-bit adder based converter is faster and requires about half the hardware required by previous methods. For n-bit adder-based implementations, one new converter is twice as fast as the previous method using a similar amount of hardware, whereas another new converter achieves improvement in either speed, area, or dynamic range compared with previous converters.