Construction of Compactly Supported Orthonormal Symmetric and Antisymmetric Two-Direction Refinable Functions and its Corresponding Wavelet with Scale M
Wan She Li, Quan Gang Yao · Advanced materials research · 2013
In this paper, the concepts and related conclusions of two-direction multiresolution analysis and two-direction refinable functions are introduced; two-direction wavelet with scale 2 is researched and is extended to orthonormal symmetric and antisymmetric two-direction wavelet with scale M and relevant properties are obtained. A condition that stable solution of two-direction refinable functions can create for MRA is given; finally construction of two-direction wavelet by two-direction compactly orthonormal refinable functions is discussed.