Sparsity_promoting_approach_to_polarization_analysis_of_seismic_signals_in_the_time_frequency_domain.pdf (1.87 MB)
Download fileSparsity-promoting approach to polarization analysis of seismic signals in the time-frequency domain
preprint
posted on 2021-07-08, 08:40 authored by Hamzeh MohammadigheymasiHamzeh Mohammadigheymasi, Paul crocker, Maryam Fathi, Eduardo Almeida, Graça Silveira, Ali Gholami, Martin SchimmelIn 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.