| 一类四带小波紧框架存在的判据 |
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| 引用本文： | 李杰,高新慧.一类四带小波紧框架存在的判据[J].河南科学,2009,27(4):388-392. |
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| 作者姓名： | 李杰 高新慧 |
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| 作者单位： | 商丘职业技术学院,河南,商丘,476000 |
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| 摘 要： | 讨论框架多分辩分析{Vj}j∈Z的子空间V1中小波紧框架的存在性.根据泛函分析方法与矩阵理论,给出由子空间V1中的若干个函数γ^1,γ^2,…,γ^s成为小波紧框架的充分条件.
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| 关 键 词： | 框架多分辩分析 尺度函数 紧框架 加细方程 小波紧框架 |
A Sufficient Condition for the Existence of Tight Wavelet Frames with Four-Scale |
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| Li Jie,Gao Xinhui.A Sufficient Condition for the Existence of Tight Wavelet Frames with Four-Scale[J].Henan Science,2009,27(4):388-392. |
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| Authors: | Li Jie Gao Xinhui |
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| Institution: | Shangqiu Vocational and Technical College;Shangqiu 476000;Henan China |
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| Abstract: | The existence of tight wavelet frames which are generated by several bivariate functions γ1,γ2,…,γs∈ V1 of a frame multiresolution analysis is discussed.A sufficient condition for the existence of wavelet tight frames generated from those functions{Vj}j∈Z is presented by virtue of functional analysis methods and matrix theory. |
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| Keywords: | frame multiresolution analysis scaling function tight frames refinement equation trivariate wavelet tight frame |
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