| 紧支撑正交多小波的构造 |
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| 引用本文： | 李万社,罗立娑,郑李娥.紧支撑正交多小波的构造[J].汕头大学学报(自然科学版),2010,25(4):26-32. |
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| 作者姓名： | 李万社 罗立娑 郑李娥 |
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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 |
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| 摘 要： | 通过选取初等旋转矩阵和初等反射矩阵,利用多分辨分析以及矩阵理论,给出了一种由已知紧支撑对称正交多小波构造具有相应性质多小波的方法.利用该方法还可以构造出一类平衡小波.最后,结合DGHM紧支撑对称正交多小波给出了具体的算例.
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| 关 键 词： | 多小波 多滤波器组 对称性 正交性 |
Construction of Compactly Supported Orthonormal Multi-Wavelet |
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| LI Wan-she,LUO Li-suo,ZHENG Li-e.Construction of Compactly Supported Orthonormal Multi-Wavelet[J].Journal of Shantou University(Natural Science Edition),2010,25(4):26-32. |
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| Authors: | LI Wan-she LUO Li-suo ZHENG Li-e |
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| Institution: | (College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an 710062, Shaanxi, China) |
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| Abstract: | In this paper, a method is given to generate a new multi-wavelet with the corresponding properties from a compactly supported symmetric orthonormal multi-wavelet by choosing elementary rotation matrix and elementary reflection matrix. A class of balanced wavelets can also be constructed using this method. At last, the DGHM compactly supported symmetric orthogonal multi-wavelet is given in the method as an example. |
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| Keywords: | multi-wavelet multi-filter bank symmetric orthonormal |
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