A Fast and Accurate RNS Scaling Technique for High Speed Signal Processing

Document Type

Article

Date of Original Version

1-1-1989

Abstract

A fast and accurate magnitude scaling technique in the residue number system (RNS) is proposed. This technique obtains the residues of the scaled integer, when scaled by a product of a subset of the moduli, in approximately log n cycles, where n is the total number of moduli in the RNS. The scaled integer has an error of at most unity. The new technique is based on a judicious decomposition of the Chinese Remainder Theorem (CRT) and the use of a redundant channel which carries (at the least) the odd-even information about the integer being scaled. © 1989 IEEE

Publication Title, e.g., Journal

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volume

37

Issue

6

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