残数缩放的并行算法及残数算法中的误差校正

H. Lo, Ting-wei Lin
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引用次数: 7

摘要

本文提出了两种新的残数系统缩放和纠错算法。第一个算法是余数差的循环特性(CPRDD)。该方法利用其并行处理的特点,提高了残差多重误差的校正速度。第二个是目标比赛距离(TRD)。它被用来加速残渣的结垢。这两种算法都不需要混合基数转换(MRC)或中国剩余定理(CRT)技术,这两种算法耗时且硬件复杂度高。此外,残数缩放可以在不使用查找表的情况下对模集合成员的任何组合并行执行。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Parallel Algorithms for Residue Scaling and Error Correction in Residue Arithmetic
In this paper, we present two new algorithms in residue number systems for scaling and error correction. The first algorithm is the Cyclic Property of Residue-Digit Difference (CPRDD). It is used to speed up the residue multiple error correction due to its parallel processes. The second is called the Target Race Distance (TRD). It is used to speed up residue scaling. Both of these two algorithms are used without the need for Mixed Radix Conversion (MRC) or Chinese Residue Theorem (CRT) techniques, which are time consuming and require hardware complexity. Furthermore, the residue scaling can be performed in parallel for any combination of moduli set members without using lookup tables.
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