In this paper, an efficient residue to binary conversion algorithm is derived for a new four-moduli set {2/sup n/-1, 2/sup n/, 2/sup n/+1, 2/sup n-1/-1} with large dynamic range and well-balanced moduli. Our algorithm exploits the special periodicity properties of the proposed moduli set to obtain hardware efficacy. By using the most efficient residue to binary conversion of the three-moduli set {2/sup n/-1, 2/sup n/, 2/sup n/+1}, the proposed algorithm can be reduced to a simpler two moduli set RNS where fast mixed-radix conversion can be used to obtain the weighted binary number. Four different adder-based architectures are proposed, all are pipelinable to achieve very high throughput rate, and all are more efficient than the residue to binary converters for other four-moduli sets in terms of area and delay.
Adder based residue to binary converters for a new balanced 4-moduli set
2003-01-01
372613 byte
Conference paper
Electronic Resource
English
Adder Based Residue to Binary Converters for a New Balanced 4-Moduli Set
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