A Study of Orthogonality Quality of a Class of Matrix-Valued Uni-Wavelet Packets with Compact Support
Jie Li, Tongyou Zhang · 2009
Wavelet analysis has become a popular subject in scientific research for over twenty years. In this paper, the matrix-valued uni-wavelet packets are defined. A procedure for constructing the matrix-valued uni-wavelet packets is presented. The properties of matrix-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L2(R,Cs×s) is constructed from the orthogonal matrix-valued wavelet packets.