| 长度为(6,m,n)的对称正交紧支3带小波系统的不存在性证明 |
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| 引用本文： | 沈政伟,刘宇,徐伟,廖成福.长度为(6,m,n)的对称正交紧支3带小波系统的不存在性证明[J].数学研究及应用,2010,30(6):1071-1077. |
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| 作者姓名： | 沈政伟 刘宇 徐伟 廖成福 |
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| 作者单位： | 北京科技大学应用科学学院数力系, 北京 100083;北京科技大学应用科学学院数力系, 北京 100083;北京科技大学应用科学学院数力系, 北京 100083;北京科技大学应用科学学院数力系, 北京 100083 |
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| 基金项目： | 国家自然科学基金(Grant Nos.10726064; 10901018) |
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| 摘 要： | 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.
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| 关 键 词： | wavelets polyphase matrix filters. |
| 收稿时间： | 2009/1/13 0:00:00 |
| 修稿时间： | 5/5/2010 12:00:00 AM |
The Inexistence of Symmetrical, Orthonormal and Compactly Supported Three-Band Wavelet System with the Length (6,m,n) |
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| Zheng Wei SHEN,Yu LIU,Wei XU and Fu Cheng LIAO.The Inexistence of Symmetrical, Orthonormal and Compactly Supported Three-Band Wavelet System with the Length (6,m,n)[J].Journal of Mathematical Research with Applications,2010,30(6):1071-1077. |
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| Authors: | Zheng Wei SHEN Yu LIU Wei XU and Fu Cheng LIAO |
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| Institution: | 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. |
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| Keywords: | wavelets polyphase matrix filters |
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