RNS-To-Binary Converter for a New Three-Moduli Set $\{2^{{n}+1}-1,2^{n},2^{n}-1\}$
P. V. Ananda Mohan · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 2007
In this brief, the design of residue number system (RNS) to binary converters for a new powers-of-two related three-moduli set {2n+1- 1, 2n, 2n- 1} is considered. This moduli set uses moduli of uniform word length (n to n + 1 bits). It is derived from a previously investigated four-moduli set {2n- 1, 2n, 2n+ 1, 2n+1- 1}. Three RNS-to-binary converters are proposed for this moduli set: one using mixed radix conversion and the other two using Chinese remainder theorem. Detailed architectures of the three converters as well as comparison with some earlier proposed converters for three-moduli sets with uniform word length and the four-moduli set {2n- 1, 2n, 2n+ 1, 2n+1- 1} are presented.