TY - JOUR T1 - Orthogonal matrix-valued wavelet packets AU - Q. Chen, C. Wang & Z. Cheng JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 45 EP - 53 PY - 2007 DA - 2007/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10077.html KW - AB - 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.