Wavelet Transform and 3-Component Seismogram Analysis

Abstract

A mathematical tool, namely ¡§wavelet transform¡¨ which can capture the local structure of the signals in the time-frequency domain, is introduced for its novel application to 3-component seismogram analysis. A link between wavelet transform and polarization analysis is tested in this article. The parameters of polarization analysis in the time-frequency domain include the phase difference, the strike and the strength of polarization, and ellipticity. Through the wavelet transform, the characteristics of the above parameters are time and frequency dependent (unlike traditional analysis) and allows analysis of signals not only with respect to time, but also to different frequency components. This can provide very interesting and useful information. A 3-component synthetic seismogram is used to explain its potential application.

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