The Research of a Class of Orthogonal Vector-ValuedWavelet Packets
Zongling An, Mingpu Guo · 2008
In this paper, the notion of vector-valued multiresolution analysis is proposed and the definition of orthogonal vector-valued wavelet packets is given. The properties for the vector-valued wavelet packets have been discussed and three orthogonality formulas concerning the wavelet packets are derived. In particular, a new orthogonal basis of vector-valued function space is obtained from these wavelet packets.