Researches into Orthogonal Multivariate Wavelet Packets with Finite Support
Jinshun Feng, Xuejun Qiao · 2009
Wavelet theory has been the focus of active research for twenty years, both in theory and applications. In this paper, the notion of orthogonal vector-valued multivariate wavelet packets with five-scale is proposed. A novel procedure for constructing them is developed. Their orthogonal properties are characterized by virtue finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are established. New orthonormal bases of L2(Rs, Cr) are obtained drawn from these vector-valued wavelet packets.