On the existence and the construction of biorthogonal vector-valued wavelets
Qingjiang Chen · 2008
The notion of vector-valued multiresolution analysis is introduced and the definition of biorthogonal vector-valued wavelets is given.The existence of biorthogonal compactly supported vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated.An algorithm for constructing a class of biorthogonal compactly supported vector-valued wavelets is presented by virtue of multiresolution analysis and matrix theory.A constructive example of filter banks of biorthogonal compactly supported vector-valued wavelets is presented.