Higher-dimensional orthonormal vector-valued wavelet packet bases
Ping Luo, Jian-Gen Du · 2008
In this paper, the notion of orthogonal vector-valued wavelet packets of the space L2(Rs,Cd) is introduced. A method for constructing the orthogonal vector-valued wavelet packets is presented. Their properties are investigated by virtue of time-frequency analysis method, matrix theory and finite group theory, and three orthogonality formulas with respect to the wavelet packets are established. Several orthonormal bases of L2(Rs,Cd) are obtained by constructing a series of subspaces of vector-valued wavelet packets.