| 三维双正交小波包的性质刻划 |
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| 引用本文： | 赵浪,于育民. 三维双正交小波包的性质刻划[J]. 纺织高校基础科学学报, 2011, 24(1): 96-102 |
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| 作者姓名： | 赵浪 于育民 |
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| 作者单位： | 西安建筑科技大学理学院;南阳理工学院应用数学系; |
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| 基金项目： | 陕西省自然科学基金项目(2009JM1002) |
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| 摘 要： | 研究三维双正交小波包的性质,推广了一元双正交小波包的概念,引入了三维不可分双正交小波包的定义并给出一种构造方法.使用分离变量法与时频分析方法讨论了三维不可分双正交小波包的性质,得到3个双正交性公式.由三维双正交小波包可以构造L2（R3）的R iesz基.
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| 关 键 词： | 多分辨分析 尺度函数 双正交 序列符号 时频分析 小波包 |
The properties of biorthogonal ternary wavelet packets |
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| ZHAO Lang,YU Yu-min. The properties of biorthogonal ternary wavelet packets[J]. Basic Sciences Journal of Textile Universities, 2011, 24(1): 96-102 |
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| Authors: | ZHAO Lang YU Yu-min |
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| Affiliation: | 1.School of Science,Xi′an University of Architecture and Technology,Xi′an 710055,China;2.Department of Applied Mathematics,Nanyang Institute of Technology,Nanyang,Henan 473004,China) |
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| Abstract: | The properties of the biorthogonal ternary wavelet packets are studied.Firstly,the notion of biorthogonal univariate wavelet packets is generalized.The definition for biorthogonal nonseparable ternary wavelet packets is given and a procedure for its construction is proposed.The biorthogonality property for the biorthogonal nonseparable ternary wavelet packets is investigated by using separation variable method and time-frequency analysis method, then three biorthogonality formulas are established,the Riesz ... |
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| Keywords: | multiresolution analysis scaling function biorthogonal sequence symbol time-frequency analysis wavelet packets |
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