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Instantaneous polarization attributes in the time–frequency domain and wavefield separation
Author(s) -
Diallo M.S.,
Kulesh M.,
Holschneider M.,
Scherbaum F.
Publication year - 2005
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.2005.00500.x
Subject(s) - wavelet transform , wavelet , polarization (electrochemistry) , inversion (geology) , harmonic wavelet transform , continuous wavelet transform , time domain , fast wavelet transform , algorithm , frequency domain , second generation wavelet transform , computer science , generalization , domain (mathematical analysis) , inverse , wavelet packet decomposition , geology , acoustics , discrete wavelet transform , mathematics , physics , artificial intelligence , mathematical analysis , geometry , chemistry , seismology , computer vision , tectonics
We introduce a method of wavefield separation from multicomponent data sets based on the use of the continuous wavelet transform. Our method is a further generalization of the approach proposed by Morozov and Smithson, in that by using the continuous wavelet transform, we can achieve a better separation of wave types by designing the filter in the time–frequency domain. Furthermore, using the instantaneous polarization attributes defined in the wavelet domain, we show how to construct filters tailored to separate different wave types (elliptically or linearly polarized), followed by an inverse wavelet transform to obtain the desired wave type in the time domain. Using synthetic and experimental data, we show how the present method can be used for wavefield separation.