| Orthogonal Multiple Vector-Valued Wavelet Packets |
| Received:October 17, 2005 Revised:July 03, 2006 |
| Key Words:
vector-valued multiresolution analysis multiple vector-valued scaling functions multiple vector-valued wavelet packets refinement equation.
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| Fund Project:the National Natural Science Foundation of China (10371105). |
| Author Name | Affiliation | | CHEN Qing-jiang | School of Science, Xi'an University of Arch. & Tech., Shaanxi 710055, China
School of Science, Xi'an Jiaotong University, Shaanxi 710049, China | | CHENG Zheng-xing | School of Science, Xi'an University of Arch. & Tech., Shaanxi 710055, China | | LI Xue-zhi | Department of Mathematics, Xinyang Normal University, Henan 464000, China |
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| Abstract: |
| The multiple vector-valued wavelet packets are defined and investigated. A procedure for constructing the multiple vector-valued wavelet packets is presented. The properties of multiple vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of $L^2(R,C^{s\times s})$ is constructed from the orthogonal multiple vector-valued wavelet packets. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.02.009 |
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