| The Inexistence of Symmetrical, Orthonormal and Compactly Supported Three-Band Wavelet System with the Length (6,m,n) |
| Received:January 13, 2009 Revised:May 05, 2010 |
| Key Words:
wavelets polyphase matrix filters.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10726064; 10901018). |
| Author Name | Affiliation | | Zheng Wei SHEN | Department of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing, Beijing 100083, P. R. China | | Yu LIU | Department of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing, Beijing 100083, P. R. China | | Wei XU | Department of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing, Beijing 100083, P. R. China | | Fu Cheng LIAO | Department of Mathematics and Mechanics, School of Applied Science, University of Science and Technology Beijing, Beijing 100083, P. R. China |
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| Abstract: |
| This paper proves the inexistence of symmetric, orthonormal and commpactly supported three-band wavelet system with the length $(6,m,n)$ in terms of the method of polyphase matrix representation. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.016 |
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