Reverse Converter for the Moduli Set {2n-1, 2n, 2n+1} Base on Grouping Number
The Residue Number System (RNS) is a non-weighted system that is very efficient in digital signal processing and communicational applications. The previous proposed methods for the residue to binary (R/B) conversions are based on the Chinese Reminder Theorem (CRT) or Mixed Radix Conversion (MRC). These theorems are difficult to implement. In this paper, we present a new high-speed ROM-less residue to binary converter for the three moduli set of {2n-1, 2n, 2n+1}. Our technique unlike previous methods uses the grouping numbers in dynamic representation range M which its delay is much less than other converters.
Keywords: residue number system, reverse converter, moduli set {2n-1, 2n, 2n+1}, group number.
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ABOUT THE AUTHORS
Saeid Bahanfar
Nadali Zarei
Saeid Bahanfar
Nadali Zarei