RNS reverse converters for moduli sets with dynamic ranges of 9n-bit

Abstract

In this paper, we extend the traditional 3-moduli set {2n, 2n - 1, 2n+1}, with an equivalent 3n-bit dynamic range, and propose a moduli set extension with a maximum dynamic range of 9n and improve the parallelism according to the requirements. This paper also introduces a novel moduli set to design efficient reverse converters by using modular operations of the form 26n - 1 in order to achieve at most 9n-bit. Experimental results suggest that area reductions up to 65.61% and speed up of 2.38 can be obtained with our proposal in comparison with the best solutions existing in the state-of-the-art with the same DR. The proposed converter allows fewer bits per channel in comparison with the most efficient solutions with smaller dynamic ranges.