Modeling of Wave Dispersion Using Continuous Wavelet Transforms

M. Kulesh; M. Holschneider; M. S. Diallo; Q. Xie; F. Scherbaum

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Modeling of Wave Dispersion Using Continuous Wavelet Transforms

机译：使用连续小波变换的波色散建模

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In the estimate of dispersion with the help of wavelet analysis considerable emphasis has been put on the extraction of the group velocity using the modulus of the wavelet transform. In this paper we give an asymptotic expression of the full propagator in wavelet space that comprises the phase velocity as well. This operator establishes a relationship between the observed signals at two different stations during wave propagation in a dispersive and attenuating medium. Numerical and experimental examples are presented to show that the method accurately models seismic wave dispersion and attenuation.

机译：在借助于小波分析的色散估计中，相当重视使用小波变换的模量提取群速度。在本文中，我们给出了全传播子在小波空间中的渐近表达式，其中还包括相速度。该操作员在色散和衰减介质中的波传播过程中，在两个不同站点建立观测信号之间的关系。数值算例和实验算例表明，该方法能够准确地模拟地震波的频散和衰减。

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来源
《Pure and Applied Geophysics》 |2005年第5期|843-855|共13页
作者
M. Kulesh; M. Holschneider; M. S. Diallo; Q. Xie; F. Scherbaum;
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作者单位

Institute of Mathematics University of Potsdam;

Institute of Mathematics University of Potsdam;

Institute of Mathematics University of Potsdam;

Institute of Mathematics University of Potsdam;

Institute of Geoscience University of Potsdam;

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正文语种 eng
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关键词
Continuous wavelet transform; dispersion; modeling; propagator in wavelet space; phase deformation; attenuation;

机译：连续小波变换;色散;建模;小波空间中的传播子;相位变形;衰减;

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专利

1. Modeling of Wave Dispersion Using Continuous Wavelet Transforms II: Wavelet-based Frequency-velocity Analysis [J] . M. Kulesh, M. Holschneider, M. Ohrnberger, Pure and Applied Geophysics . 2008,第2期

机译：使用连续小波变换的波色散建模II：基于小波的频率-速度分析
2. Modeling of wave dispersion using continuous wavelet transforms II: Wavelet-based frequency-velocity analysis [J] . Kulesh M, Holschneider M, Ohrnberger M, Pure and Applied Geophysics . 2008,第2期

机译：使用连续小波变换的波色散建模II：基于小波的频率-速度分析
3. Modeling of wave dispersion using continuous wavelet transforms [J] . Kulesh M, Holschneider M, Diallo MS, Pure and Applied Geophysics . 2005,第5期

机译：使用连续小波变换的波扩散建模
4. Geophysical Wavelet Library: Applications of the Continuous Wavelet Transform to the Polarization and Dispersion Analysis of Signals [C] . M. Kulesh, M. Holschneider International Conference on Scientific Computing . 2007

机译：地球物理小波文库：连续小波变换对信号的极化和色散分析
5. Discretization of continuous wavelet transforms and wavelet frames. [D] . Maggioni, Mauro. 2002

机译：连续小波变换和小波帧的离散化。
6. The Use of Continuous Wavelet Transform Based on the Fast Fourier Transform in the Analysis of Multi-channel Electrogastrography Recordings [O] . Dariusz Komorowski, Stanislaw Pietraszek -1

机译：基于快速傅里叶变换的连续小波变换在多通道胃电图记录分析中的应用
7. Modeling of Wave Dispersion Using Continuous Wavelet Transforms [O] . 2015

机译：用连续小波变换建立波散

Modeling of Wave Dispersion Using Continuous Wavelet Transforms

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