A novel algorithm for designing biorthogonal five-scale wavelets

In this paper, the notion of vector-valued multiresolution analysis and biorthogonal vector wavelets are introduced. The existence of biorthogonal finitely supported vector-valued wavelets associated with a pair of biorthogonal finitely supported vector-valued scaling functions is discussed. A procedure for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by virtue of multiresolution analysis approach and filter bank theory.