| Multivariate Vector-valued Wavelet Packets Associated with the Dilation Matrix |
| Received:May 30, 2005 Revised:July 19, 2005 |
| Key Words:
dilation matrix vector-valued multiresolution analysis vector-valued scaling functions vector-valued wavelet packets refinement equation
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| Fund Project:the National Natural Science Foundation of China (10371105); the Natural Science Foundation of Henan Province(0211044800) |
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| Abstract: |
| In this paper,\,we introduce the notion of orthogonal vector-valued wavelet packets in higher dimensions associated with a given integer-valued dilation matrix. A procedure for constructing the orthogonal multivariate vector-valued wavelet packets is presented. The properties of the multivariate vector-valued wavelet packets have been discussed. Moreover, several new orthogonal bases of $L^2({\bf R}^s,{\bf C}^r)$ are constructed by using the orthogonal vector-valued wavelet packets. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.01.022 |
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