A novel generic three-moduli set and its optimum arithmetic residue to binary converters

In this paper, first a new generic three-moduli set {2(
^2k-1
)
^n-1
, 2
^kn
+1, 2
^kn
-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 {2
^3n-1
, 2
²ⁿ
+1, 2
²ⁿ
-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.