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A time-varying wavelet estimation method based on modified spectral modeling in the T-F domain

JSE 2021, 30(3), 211–236;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

Dai, Y.S., Zhang, H.Q., Zhang, Y.H., Wan, Y., Sun, W.F., Han, H.Y. and Wu, S., 2021. A time-varying wavelet estimation method based on modified spectral modeling in the T-F domain. Journal of Seismic Exploration, 30: 211-236. To effectively solve the problem existing in the time-varying seismic wavelet extraction method based on spectral modeling in the time-frequency (T-F) domain, a time-varying seismic wavelet extraction method based on modified spectral modeling in the T-F domain is proposed. For reducing the energy diffusion of the T-F spectra of seismograms, the synchrosqueezing modified S-transform (SSMST) is used to extract the T-F spectra of seismograms. The energy is gathered at the real frequency and the extraction accuracy of the T-F spectra of seismograms is improved. To solve the problem that the polynomial order needs to be determined artificially, an evaluation function describing the quality of estimated wavelet amplitude is established. The polynomial order is determined by comparing the value of the evaluation function. The phase spectra of seismic wavelets are extracted by phase-only filter. The validity of the method is verified by simulation experiments and real seismograms data processing.

Keywords
synchrosqueezing modified S-transform
wavelet extraction
determining polynomial order
phase-only filter
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Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing
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