| 正交对称紧支撑双向小波的构造 |
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| 引用本文： | 李万社,罗立娑,李俏.正交对称紧支撑双向小波的构造[J].汕头大学学报(自然科学版),2011,26(1):1-7. |
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| 作者姓名： | 李万社 罗立娑 李俏 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目(10571113) |
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| 摘 要： | 介绍了双向多分辨分析以及双向小波的概念,研究了正交双向小波的相关性质,给出了正交双向小波对称性的判别条件,最后,基于双向加细函数的紧支撑性,利用双向多分辨分析以及矩阵理论,给出了一种构造正交对称双向小波的方法.
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| 关 键 词： | 正交性 对称性 紧支撑 双向加细函数 双向小波函数 |
Construction of Compactly Supported Orthonormal Symmetric Two-Direction Wavelet |
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| LI Wan-she,LUO Li-suo,LI Qiao.Construction of Compactly Supported Orthonormal Symmetric Two-Direction Wavelet[J].Journal of Shantou University(Natural Science Edition),2011,26(1):1-7. |
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| Authors: | LI Wan-she LUO Li-suo LI Qiao |
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| Institution: | LI Wan-she,LUO Li-suo,LI Qiao(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,Shaanxi,China) |
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| Abstract: | In this paper,the concepts of two-direction multiresolution analysis and two-direction wavelet are introduced,and the symmetry of the orthogonal two-direction wavelet is researched.Based on the compactly support of the two-direction scaling function,a method for constructing compactly supported orthogonal symmetric two-direction wavelet is given and the method is practical and effective. |
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| Keywords: | orthonormal symmetric compactly two-direction scaling function two-direction wavelet |
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