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The application of residue number system (RNS) to digital signal processing lies in the ability to operate on signed numbers. However, the available RNS-to-binary (reverse) converters have been designed for unsigned numbers, which means that they do not produce signed outputs. Usually, some additional circuits are introduced at the output of the reverse converter to map the unsigned generated output...
In this paper, a novel ROM-less RNS-to-binary converter is proposed, using a new balanced moduli set {22n −1, 22n + 1, 2n − 3, 2n + 3} for n even. The proposed converter is implemented with a two stage ROM-less approach, which computes the value of X based only in arithmetic operations, without using lookup tables. Experimental results for 24 to 120 bits of Dynamic Range, show that the proposed converter...
This paper proposes a unified architecture for designing Residue Number System (RNS) based processors for moduli sets with an arbitrary number of channels. Recently, new RNS moduli sets have been proposed in order to increase the dynamic range and reduce the width of the channels. The proposed architecture allows designing forward and reverse RNS converters, as well as the arithmetic operators of...
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