Construction of a Sort of Biorthogonal Vector Wavelets with Four-scale
Mingpu Guo, Pingan Wang · 2009
In this article, the vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale are introduced. Existence conditions of biorthogonal vector-valued wavelets with finite support associated with a pair of biorthogonal vector-valued finitely supported scaling functions are presented. A novel method for constructing a class of biorthogonal finitely supported vector-valued wavelets with four-scale is proposed by using matrix theory and multiresolution analysis.