| 小波子空间的抽样定理 |
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| 引用本文： | 吴国昌. 小波子空间的抽样定理[J]. 西安外事学院学报, 2006, 0(4) |
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| 作者姓名： | 吴国昌 |
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| 作者单位： | 西安外事学院信息工程学院 陕西西安710077 |
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| 摘 要： | 本文首先介绍了古典仙农抽样定理,然后回顾了小波分析和多尺度分析的历史;接着,从低通滤波器系数和小波的角度刻画了小波子空间中抽样定理成立的一个充要条件,并研究了它们的对称性。
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| 关 键 词： | 抽样定理 小波 低通滤波器系数 对称性 |
Sampling Theorem in the Wavelet Subspace |
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| Wu Guochang. Sampling Theorem in the Wavelet Subspace[J]. Journal of Xi＇an International University, 2006, 0(4) |
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| Authors: | Wu Guochang |
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| Abstract: | In this paper,classical Shannon sampling theorem is introduced,and wavelet analysis and multiresolution analysis are reviewed;then,we give a sufficient and necessary condition about sampling theorem in the wavelet subspace from the point of view of the wavelet and low filter coefficient,and discuss their symmetries. |
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| Keywords: | sampling theorem wavelet lowpass filter coefficient symmetry |
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