Volume 16, Issue 1
Orthogonal matrix-valued wavelet packets

Q. Chen, C. Wang & Z. Cheng

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 45-53

Published online: 2007-02

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  • 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.
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@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} }
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.
Q. Chen, C. Wang and Z. Cheng. (2007). Orthogonal matrix-valued wavelet packets. Numerical Mathematics, a Journal of Chinese Universities. 16 (1). 45-53. doi:
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