<?xml version="1.1" encoding="utf-8"?>
<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">JSE</journal-id><journal-title-group><journal-title>Journal of Seismic Exploration</journal-title></journal-title-group><issn>0963-0651</issn><eissn/><publisher><publisher-name>AccScience Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi"/><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>Spectral decomposition of seismic data with improved synchrosqueezing time-frequency transform</title><url>https://geophysical-press.com/journal/JSE/articles/73</url><author>SHANGSHUAI,FUSHENGNAN</author><pub-date pub-type="publication-year"><year>2022</year></pub-date><volume>31</volume><issue>1</issue><history><date date-type="pub"><published-time>2022-02-01</published-time></date></history><abstract>Shang, S. and Fu, S., 2022. Spectral decomposition of seismic data with improved synchrosqueezing time-frequency transform. Journal of Seismic Exploration, 31: 53-64. Spectral decomposition is a novel signal analysis tool for seismic data. Resolution of traditional time-frequency transform methods is limited by Heisenberg uncertainty principle. By assigning complex coefficients along frequency or scale axis, synchrosqueezing algorithm is a way to sharpen time-frequency representation towards its ideal representation. Whereas, traditional synchrosqueezing algorithm is not very suitable for signal which contains strong frequency modulated modes. Time-frequency respresentation needs to be further sharped to meet the needs of seismic signal analysis and interpretation. In this paper, we introduce an improved synchrosqueezing algorithm named second-order synchrosqueezing transform into seismic spectral decomposition. With computation of second-order derivatives of the phase of STFT, we can obtain an invertible and sharper time-frequency representation than traditional synchrosqueezing algorithm. The method is applied to synthetic signal and field seismic data. Results show its effectiveness.</abstract><keywords>spectral decomposition, synchrosqueezing, sparse, invertible</keywords></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>Auger, F. and Flandrin, P., 1995. Improving the readability of time-frequency andtime-scale representations by the reassignment method. IEEE Transact. Sign.Process., 43: 1068-1089.Auger, F., Chassande-Mottin, E. and Flandrin, P., 2012. Making reassignment adjustable:the Levenberg-Marquardt approach. Proc. IEEE-ICASSP Mtg., Kyoto: 3889-3892.Auger, F., Flandrin, P., Lin, Y.-T., Mclaughlin, S. and Meignen, S.,, 2013.Time-frequency reassignment and synchrosqueezing: an overview. IEEE Sign.Process. Magaz., Instit. Electr. Electron. Engin., 30 (6): 32-41.Daubechies, I., Lu, J. and Wu, H.T., 2011. Synchrosqueezed wavelet transforms: anempirical mode decomposition-like tool. Appl. Computat. Harmon. Analys., 30:243-261.Flandrin, P., Auger, F. and Chassande-Mottin, E., 2003. Time-frequency reassignment:from principles to algorithms. Applic. Time-Freq. Sign. Process., 10: 179-203.Gridley, J. and Lopez, J., 1999. Interpretational applications of spectral decomposition inreservoir characterization. The leading Edge, 18: 353-360.Han, J. and van der Baan, M., 2013. Empirical mode decomposition for seismictime-frequency analysis. Geophysics, 78(2): O9-O19.Hlawatsch, F. and Boudreaux-Bartels, G.F., 1992. Linear and quadratic time-frequencysignal representations. IEEE Sign. Process. Magaz., 9(2): 21-67.Huang, N.E., 1996. Computer implicated empirical mode decomposition method,apparatus, and articale of manufacture. U.S. Patent Pend.Oberlin, T., Meignen, S. and Perrier, V., 2015. Second-order synchrosqueezingtransform or invertible reassignment? Towards ideal time-frequency representations.IEEE Transact. Sign. Process., 63: 1335-1344.Pham, D.-H. and Meignen, S., 2017. High-order synchrosqueezing transform formulticomponent signals analysis - with an application to gravitational-wave signal.IEEE Transact. Sign. Process., 65: 3168-3178.Sattar, F. and Salomonsson, G., 1999. The use of a filter bank and the Wigner-Villedistribution for time-frequency representation. IEEE Transact. Sign. Process., 47:1776-1783.Shang, S., Han, L.G. and Hu, W., 2013. Seismic data analysis using synchrosqueezingwavelet transform. Expanded Abstr., 83rd Ann. Internat. SEG Mtg., Houston.Torres, M.E., Colominas, M.A., Schlotthauer, G. and Flandrin, P.A., 2011. Completeensemble empirical mode decomposition with adaptive noise. IEEE Internat. Conf.Acoust.,: 4144-4147.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
