A novel generic three-moduli set and its optimum arithmetic residue to binary converters
Muhammad Mehdi Lotfinejad, Mohammad Mosleh, Hamid Noori · 2010
In this paper, first a new generic three-moduli set {2(2k-1)n-1, 2kn+1, 2kn-1} based on new CRT-I is proposed and then two optimum arithmetic residue to binary converters for the proposed generic three-moduli set is introduced. The moduli set is composed of well-formed, balanced and pairwise relatively prime modulus. The variable `k' is used, in order to achieve a desired dynamic range. This moduli set supports large dynamic range and optimum forward/reverse converters. Based on this generic three-moduli set, a new moduli set {23n-1, 22n+1, 22n-1} is proposed and its residue to binary converters are presented. The proposed converters for generic three-moduli set have better area-time complexity compared to other residue to binary converters which have three-moduli set with similar dynamic range.