| 2维3尺度双正交小波滤波器的显示构造 |
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| 引用本文： | 高宏伟,韩可众.2维3尺度双正交小波滤波器的显示构造[J].江西师范大学学报(自然科学版),2010,34(6). |
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| 作者姓名： | 高宏伟 韩可众 |
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| 作者单位： | 1. 榆林学院,数学系,陕西,榆林,719000
2. 郑州航空工业管理学院,信息统计职业学院,河南,郑州,450008 |
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| 基金项目： | 国家自然科学基金(1057113); 陕西省自然科学基金(2009JM1002)资助项目 |
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| 摘 要： | 研究由2维双正交尺度函数构造相应的双正交小波滤波器的矩阵扩充问题,运用矩阵多相分解方法与时频分析方法,给出由插值尺度函数构造2维3尺度双正交滤波器的显示公式;讨论了2维3尺度小波包的性质,得到3个双正交公式.
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| 关 键 词： | 双正交 加细方程 多分辨分析 小波 滤波器 矩阵多相分解 |
Explicit Construction of Filter Banks of Biorthogonal Bivariate Wavelets with Three-Scale Fator |
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| GAO Hong-wei,HAN Ke-zhong.Explicit Construction of Filter Banks of Biorthogonal Bivariate Wavelets with Three-Scale Fator[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2010,34(6). |
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| Authors: | GAO Hong-wei HAN Ke-zhong |
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| Institution: | GAO Hong-wei1,HAN Ke-zhong2(1.Department of Math,Yulin University,Yulin Shanxi 719000,China,2. Information , Statistics Vocational College,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou Henan 450008,China) |
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| Abstract: | The matrix extension problem for constructing filters of biorthogonal bivariate wavelets from the biorthogonal bivariate scaing functions is investigated. Explicit formulas for constructing filters of a class biorthogonal bivariate wavelets with three-scale factor are formulated by virtue of matrix polyphase decomposition method and time-frequency analysis method. Their properties are discussed,and three biorthogonality formulas concerning these wavelet packets are obtained. |
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| Keywords: | biorthogonal refinement equation multiresolution analysis wavelets filters matrix polyphase decomposition |
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