Efficient RNS Reverse Converters for Moduli Sets with Dynamic Ranges Up to $$(10n+1)$$ ( 10 n + 1 ) -bit

Abstract

This paper presents reverse converters for dynamic ranges (DRs) up to $$10n+1$$ achieved with horizontal and vertical extensions of the traditional three-moduli set $$\{2^{n},2^n-1, 2^n+1\}$$ . The proposed approach results in increased parallelism with a smaller number of bits per channel. An arithmetic application is considered to show that the proposed converter scales better with an increasing number of residue operations per channel, confirming the practical applications of the moduli set and reverse converter. Experimental results suggest that the proposed architecture outperforms the best reverse converters in the related state of the art, with equivalent DR, presenting speedup of 2.09 times, and average reductions of 62.00 and 45.20% in area and power consumption, respectively.