A Fast and Accurate RNS Scaling Technique for High Speed Signal Processing
Date of Original Version
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
IEEE Transactions on Acoustics, Speech, and Signal Processing
Padmanabh Shenoy, M. A., and Ramdas Kumaresan. "A Fast and Accurate RNS Scaling Technique for High Speed Signal Processing." IEEE Transactions on Acoustics, Speech, and Signal Processing 37, 6 (1989): 929-937. doi:10.1109/ASSP.1989.28063.