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Sparsity_promoting_approach_to_polarization_analysis_of_seismic_signals_in_the_time_frequency_domain.pdf (1.87 MB)
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Sparsity-promoting approach to polarization analysis of seismic signals in the time-frequency domain

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posted on 08.07.2021, 08:40 by Hamzeh MohammadigheymasiHamzeh Mohammadigheymasi, Paul crocker, Maryam Fathi, Eduardo Almeida, Graça Silveira, Ali Gholami, Martin Schimmel
In this paper, we present a new approach to the TF-domain PA methods. More precisely, we provide an in-detailed discussion on rearranging the eigenvalue decomposition polarization analysis (EDPA) formalism in the frequency domain to obtain the frequency-dependent polarization properties from the Fourier coefficients owing to the Fourier space orthogonality. Then, by extending the formulation to the TF-domain and incorporating sparsity-promoting time-frequency representation (SP-TFR), we alleviate the limited resolution when estimating the TFdomain polarization parameters. The final details of the technique are to apply an adaptive sparsity-promoting time-frequency filtering (SP-TFF) to extract and filter different phases of the seismic wave. By processing earthquake waveforms, we show that by combining amplitude, directivity, and rectilinearity attributes on the sparse TF-domain polarization map of the signal, we are able to extract or filter different phases of seismic waves.

Funding

Fundação para a Ciência e a Tecnologia (FCT) in the content of SHAZAM project (Ref. PTDC/CTA-GEO/31475/2017)

FCT/MCTES through national funds and when applicable co-funded EU funds under the project UIDB/EEA/50008/2020

History

Email Address of Submitting Author

hamzeh@ubi.pt

ORCID of Submitting Author

0000-0002-1136-2651

Submitting Author's Institution

University of Beira Interior

Submitting Author's Country

Portugal