Existence and generation of filter banks of general biorthogonal vector wavelets with finite support
Chuanrui Cheng, Jie Li · 2010
In this paper, the notion of vector-valued multiresolution analysis and biorthogonal vector wavelets is introduced. The existence of finitely supported biorthogonal vector wavelets associated with a pair of biorthogonal finitely supported vector scaling functions is investigated. An algorithm for constructing a class of biorthogonal compactly supported vector wavelet functions is presented by using multiresolution analysis and matrix theory. The sufficient condition for the existence of multiple pseudoframes for subspaces of L2(R) is obtained.