子波分析中尺度与波长的关系  

Relationship between Scale and Wavelength in Wavelet Transform Analysis

作　　者：汤韩杰[1] 袁晓[1] 

机构地区：[1]四川大学电子信息学院,成都610064

出　　处：《电子科技大学学报》2006年第1期13-16,共4页Journal of University of Electronic Science and Technology of China

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。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.

关 键 词：水文 气候 多尺度 子波定义 空间城 

分 类 号：TN911.6[电子电信—通信与信息系统]