广义S变换窗函数的分析和改进
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摘要
地震信号是一种非线性、非平稳的信号,用时频分析技术处理地震信号,可以最大化地保留原始信息,也可以较为精确地分析数据时间和频率特征。现阶段应用于地震数据处理方面的时频分析方法有很多种,该文在对S变换和广义S变换方法进行对比分析的基础上,对广义S变换的窗函数进行了详细分析研究,结果表明窗函数的控制参数可以简化。文中给出了实际资料的计算结果,简化后的变换方法其效果与广义S变换一致。
Seismic signal is a kind of nonlinear and non-stationary signal.Using time-frequency analysis to proce-ss seismic signal could reserve the primary information maximally and accurately analyze the characteristics of the data in time-frequency domain.At present,there are many kinds of time-frequency analysis methods applied to seismic data processing.Based on the comparison of S-transform and generalized S-transform,the window function of generalized S-transform was analyzed in detail.The result showed that the controlled variable of window function could be simplified.The computational solution of the actual data proved that the effects of the simplified transform are equal to the generalized S-transform.
Seismic signal is a kind of nonlinear and non-stationary signal.Using time-frequency analysis to proce-ss seismic signal could reserve the primary information maximally and accurately analyze the characteristics of the data in time-frequency domain.At present,there are many kinds of time-frequency analysis methods applied to seismic data processing.Based on the comparison of S-transform and generalized S-transform,the window function of generalized S-transform was analyzed in detail.The result showed that the controlled variable of window function could be simplified.The computational solution of the actual data proved that the effects of the simplified transform are equal to the generalized S-transform.
引文
[1]Adams D,Kossentini F,Ward R.Generalize S Transform.Canada,University of British Columbia,2001:1-24.
[1]刘葵,刘招军,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):282-284.
[2]高静怀,汪文秉,朱光明,等.地震资料处理中小波函数的选取[J].地球物理学报,1996,39(3):392-400.
[3]Stockwell R G,Mansinha L,Lowe R P.Localization of the complex spectrum:the S-transform[J].IEEE Transactions on Signal Proces-sing,1996,44(4):998-1001.
[4]Pinnegar C R.Time-frequency and time-time filtering with the S-transform and TT-transform[J].Digital Signal Process,2005,15(6):604-620.
[5]高静怀,陈文超,李幼铭,等.广义S变换与薄互层地震响应[J].地球物理学报,2003,46(4):526-532.
[6]Mansinha L,Stockwell R G,Lowe R P.Pattern analysis with two dimensional spectral localization:Application of two-dimensional S-transform[J].Physica,1997,239(3):286-295.
[7]McFaden P D,Cook J G,Forster L M.Decomposition of gear vibr-ation signals by generalized S-transform[J].Mechanical Systems and Signal Process,1999,13(4):691-707.
[8]Pinnegar C R,Manainha L.Time-local Fourier analysis with a scalable phase-modulated analyzing function:the S-transform with a complex window[J].Signal Processing,2004,84:1167-1176.
[9]王大兴,辛可锋,高静怀,等.广义S变换及其在鄂尔多斯盆地上古生界河道砂体预测中的应用[J].低渗透油气田,2005,10(2):16-22.
[1]刘葵,刘招军,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):282-284.
[2]高静怀,汪文秉,朱光明,等.地震资料处理中小波函数的选取[J].地球物理学报,1996,39(3):392-400.
[3]Stockwell R G,Mansinha L,Lowe R P.Localization of the complex spectrum:the S-transform[J].IEEE Transactions on Signal Proces-sing,1996,44(4):998-1001.
[4]Pinnegar C R.Time-frequency and time-time filtering with the S-transform and TT-transform[J].Digital Signal Process,2005,15(6):604-620.
[5]高静怀,陈文超,李幼铭,等.广义S变换与薄互层地震响应[J].地球物理学报,2003,46(4):526-532.
[6]Mansinha L,Stockwell R G,Lowe R P.Pattern analysis with two dimensional spectral localization:Application of two-dimensional S-transform[J].Physica,1997,239(3):286-295.
[7]McFaden P D,Cook J G,Forster L M.Decomposition of gear vibr-ation signals by generalized S-transform[J].Mechanical Systems and Signal Process,1999,13(4):691-707.
[8]Pinnegar C R,Manainha L.Time-local Fourier analysis with a scalable phase-modulated analyzing function:the S-transform with a complex window[J].Signal Processing,2004,84:1167-1176.
[9]王大兴,辛可锋,高静怀,等.广义S变换及其在鄂尔多斯盆地上古生界河道砂体预测中的应用[J].低渗透油气田,2005,10(2):16-22.
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