@Article{NM-16-45, author = {Q. Chen, C. Wang and Z. Cheng}, title = {Orthogonal matrix-valued wavelet packets}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {1}, pages = {45--53}, abstract = { In this paper, we introduce matrix-valued multiresolution analysis and matrix-valued wavelet packets. A procedure for the construction of the orthogonal matrix-valued wavelet packets is presented. The properties of the matrix-valued wavelet packets are investigated. In particular, a new orthonormal basis of $L^2(\mathbb R,\mathbb C^{s\times s})$ is obtained from the matrix-valued wavelet packets. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10077.html} }