地震信号的时频分析方法
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摘要
阐述了S-变换的概念及其性质,通过合成的非平稳时间序列,将四种时频分析方法进行比较,从而显示出S-变换具有较高的时间-频率分辨率。以时频分析的一些应用实例,说明时频分析在地震信号处理中具有广阔的应用前景。
In this paper, the idea and the property of the S-transform are presented, and non-stationary time series is synthesized, four time frequency methods are compared. The results show that the S-transform has high time and frequency resolution. In the last part of the paper, some application examples of time-frequency analysis are enumerated. It confirms that time-frequency analysis has extremely wide application perspectives.
In this paper, the idea and the property of the S-transform are presented, and non-stationary time series is synthesized, four time frequency methods are compared. The results show that the S-transform has high time and frequency resolution. In the last part of the paper, some application examples of time-frequency analysis are enumerated. It confirms that time-frequency analysis has extremely wide application perspectives.
引文
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[8] Mansinha L,Stockwell R G,Lowe R P.Pattern analysiswith two-dimensional spectral localization:applications oftwo-dimensional S-transform [J].Physics A,1997,239:286-295．
[9] Varanini M,De Paolis G,Emdin M,et al.Spectral analysisof cardiovascular time series by the S-transform[J].IEEEComp Cardiology,1997,24:383-386．
[10] Mansinha L,Stockwell R G,Lowe R P,et al.Local S-spe-ctrum analysis of 1-d and 2-d data[J].Physics of the Earth and Planetary Interiors,1997,103:329-336,998-1001．
[11] 张贤达,保铮.非平稳信号分析与处理[M].北京:国防工业出版社,1998:53-70． ZHANG Xian-da.BAO Zheng Analysis and processing ofnon-stationary signal[M].Beijing:National Defence Indus-try Publishing House,1998:53-70．
[12] 刘葵,刘招君,朱建伟,等.时频分析在石油地球物理勘探中的应用[J].世界地质,2000,19(3) :282-285． LIU Kui,LIU Zhao-jun,ZHU Jian-wei,et al.Applicationof time-frequency analysis in geology[J].World Geology,2000,19(3) :282-285．
[13] Baraniuk R,Coates M,Steeghs P.Hybrid linear/quadratictime-frequency attributes[J].IEEE Transactions On SignalProcessing,2001,49(4) :760-766．
[14] Taner T,Koehler F,Sheriff R.Complex seismic trace ana-lysis[J].Geophysics,1979,44(6) :1041-1063．
[15] Steeghs P,Drijkoningen G.Time-frequency analysis of se-ismic sequences[C]//Proc.65th SEG Meeting.Houston:SEG Press,1995:1528-1531．
[16] Pinnegar C R,Manisnha L.The S-transform with windowsof arbitrary and varying shape[J].Geophysics,2003,68(1) :381-385．
[2] Ville J. Theorie et application de la notion de signal analy-tique[J]. Cables et Transmissions, 1948,2A:61-74．
[3] Morlet J, Arens G, Fourgeau E, Giard D. Wave progagation and sampling theory-Part Ⅰ:complex signal and scatter-ing in multilayered media[J].Geophysics,1982,47:203-221．
[4] Morlet J,Arens G,Fourgeau E,Giard D.Wave propagationand sampling theory-Part Ⅱ:sampling theory and comp-lex waves[J].Geophysics,1982,47(2) :222-236．
[5] Cohen L.Generalized phase-space distribution functions[J].Jour Math Phys,1966,7:781-786．
[6] Strockwell R G,Mansinha L,Lowe R P.Localization of thecomplex spectrum:the S-transform[J].IEEE Transactions onSignal Processing,1996,44(4) :998-1001．
[7] Livanos G,Ranganathan N,Jiang J.Heart sound analysisusing the S-transform[J].IEEE Comp Cardiology,2000,27:587-590．
[8] Mansinha L,Stockwell R G,Lowe R P.Pattern analysiswith two-dimensional spectral localization:applications oftwo-dimensional S-transform [J].Physics A,1997,239:286-295．
[9] Varanini M,De Paolis G,Emdin M,et al.Spectral analysisof cardiovascular time series by the S-transform[J].IEEEComp Cardiology,1997,24:383-386．
[10] Mansinha L,Stockwell R G,Lowe R P,et al.Local S-spe-ctrum analysis of 1-d and 2-d data[J].Physics of the Earth and Planetary Interiors,1997,103:329-336,998-1001．
[11] 张贤达,保铮.非平稳信号分析与处理[M].北京:国防工业出版社,1998:53-70． ZHANG Xian-da.BAO Zheng Analysis and processing ofnon-stationary signal[M].Beijing:National Defence Indus-try Publishing House,1998:53-70．
[12] 刘葵,刘招君,朱建伟,等.时频分析在石油地球物理勘探中的应用[J].世界地质,2000,19(3) :282-285． LIU Kui,LIU Zhao-jun,ZHU Jian-wei,et al.Applicationof time-frequency analysis in geology[J].World Geology,2000,19(3) :282-285．
[13] Baraniuk R,Coates M,Steeghs P.Hybrid linear/quadratictime-frequency attributes[J].IEEE Transactions On SignalProcessing,2001,49(4) :760-766．
[14] Taner T,Koehler F,Sheriff R.Complex seismic trace ana-lysis[J].Geophysics,1979,44(6) :1041-1063．
[15] Steeghs P,Drijkoningen G.Time-frequency analysis of se-ismic sequences[C]//Proc.65th SEG Meeting.Houston:SEG Press,1995:1528-1531．
[16] Pinnegar C R,Manisnha L.The S-transform with windowsof arbitrary and varying shape[J].Geophysics,2003,68(1) :381-385．
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