Parallel Algorithms for Residue Scaling and Error Correction in Residue Arithmetic

• 作者: Hao-Yung Lo Ting-Wei Lin
• 来源期刊: 无线工程与技术(英文)
• 学科: 数学
• 关键词: Chinese REMAINDER Theorem (CRT) ERROR Correction ERROR Detection Parallel RESIDUE SCALING RESIDUE Number Systems (RNS) TARGET Race Distance (TRD) TARGET Residue-Digit Difference
• 年，卷（期）: 2013,（4）
• 页码范围: 198-213
• 页数: 16页
• 分类号: O1

摘要

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.