| 子波分析中尺度与波长的关系 |
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| 引用本文： | 汤韩杰,袁晓. 子波分析中尺度与波长的关系[J]. 电子科技大学学报(社会科学版), 2006, 0(1) |
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| 作者姓名： | 汤韩杰 袁晓 |
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| 作者单位： | 四川大学电子信息学院 成都610064 |
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| 摘 要： | 通过对数据序列的子波分析中尺度与波长的关系研究,讨论了子波分析的特点和子波变换的不同定义及在傅里叶变换域中的意义,通过子波的定义求出了子波分析中波长与尺度的一般关系式,从理论和实验两方面对Morlet母子波的尺度与波长的关系进行了分析,给出了一些常用子波尺度与波长的关系式。
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| 关 键 词： | 水文 气候 多尺度 子波定义 空间域 |
Relationship between Scale and Wavelength in Wavelet Transform Analysis |
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| TANG Han-jie,YUAN Xiao. Relationship between Scale and Wavelength in Wavelet Transform Analysis[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2006, 0(1) |
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| Authors: | TANG Han-jie YUAN Xiao |
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| Abstract: | The relationship between scale and wavelength in wavelet transform analysis of data series is proposed. Firstly,the feature of wavelet analysis, the different definition of wavelet transform and their Fourier transform are given, then the general formula of the relationship between scale and wavelength is deduced from the property of wavelet transform. An illustrative example of Morlet wavelet is presented and the simulation results show the effectiveness of the proposed formula. Finally, the formulas of some commonly used wavelets are given. |
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| Keywords: | hydrological climatology multiple time scales analysis wavelet define spatial domain |
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