Characteristics of orthogonal vector-valued wavelet packet bases
Junqiu Wang, Baocang Liu · 2009
Wavelet analysis has become a popular subject in scientific research for twenty years. In this article, the multiple vector-valued wavelet packets are introduced. An approach for constructing the multiple vector-valued wavelet packets is proposed. Their properties are investigated by using integral transformation and operator theory. Finally, new orthonormal bases of space L2(R,Cv×v) are obtained by constructing a series of subspaces of the multiple vector-valued wavelet packets.