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Sparsity-promoting approach to polarization analysis of seismic signals in the time-frequency domain
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  • Hamzeh Mohammadigheymasi ,
  • Paul crocker ,
  • Maryam Fathi ,
  • Eduardo Almeida ,
  • Graça Silveira ,
  • Ali Gholami ,
  • Martin Schimmel
Hamzeh Mohammadigheymasi
University of Beira Interior

Corresponding Author:[email protected]

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Paul crocker
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Maryam Fathi
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Eduardo Almeida
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Graça Silveira
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Ali Gholami
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Martin Schimmel
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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.
2022Published in IEEE Transactions on Geoscience and Remote Sensing volume 60 on pages 1-11. 10.1109/TGRS.2022.3141580