Constructive Approaches to Biorthogonal Finitely Supported Ternary Wavelets and Wavelet Wraps
In this paper, the notion of biorthogonal two-directional shortly supported wavelets with poly-scale is developed. A new method for designing two-directional biorthogonal wavelets is proposed. The existence of shortly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. A novel constructive method for designing a sort of biorthogonal vector-valued wavelet wraps is presented and their biorthogonality traits are characerized. Two biorthogonality formulas regarding these wavelet wraps are established.
Helen Zhang, Gang Shen and David Jin
J. T. Zhao and H. L. Guo, "Constructive Approaches to Biorthogonal Finitely Supported Ternary Wavelets and Wavelet Wraps", Advanced Materials Research, Vols. 219-220, pp. 504-507, 2011