基于正交时频原子的地震信号快速匹配追踪
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摘要
匹配追踪能够根据地震信号自身的特点进行自适应分解,但因计算量巨大使其不能被广泛应用.本文提出了一种正交时频原子快速匹配追踪方法,该方法在迭代分解过程中,充分利用地震信号的局部性特征作为先验信息点,在先验信息点附近采用动态搜索策略寻找最佳匹配时频原子,同时对时频原子进行正交变换,消除了时频原子库中的冗余分量,最终将信号分解为一系列正交时频原子的线性叠加.测试结果表明,该方法不仅保持了匹配追踪的分解精度,而且使计算效率有了质的提高.
Matching pursuit can make adaptive decomposition according to the characteristics of seismic signal,but the computation is so enormous that it has not been widely used.This paper proposed a fast matching pursuit strategy with orthogonal time-frequency atoms.During the iteration procedure,this method fully used the local characteristics of seismic signal as a priori information points.Around the a priori information points,dynamic optimal search is used to find the best time-frequency atom.At the same time,the time-frequency atoms are orthogonally transformed to eliminate the redundant components in the atom dictionary.Eventually,the seismic signal is decomposed into a linear superposition of a series of orthogonal atoms.Test results show that this method not only maintains the precision of original matching pursuit,but also substantially improves its computational efficiency.
Matching pursuit can make adaptive decomposition according to the characteristics of seismic signal,but the computation is so enormous that it has not been widely used.This paper proposed a fast matching pursuit strategy with orthogonal time-frequency atoms.During the iteration procedure,this method fully used the local characteristics of seismic signal as a priori information points.Around the a priori information points,dynamic optimal search is used to find the best time-frequency atom.At the same time,the time-frequency atoms are orthogonally transformed to eliminate the redundant components in the atom dictionary.Eventually,the seismic signal is decomposed into a linear superposition of a series of orthogonal atoms.Test results show that this method not only maintains the precision of original matching pursuit,but also substantially improves its computational efficiency.
引文
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[4]Mallat S G,Zhang Z F.Matching pursuits with time-frequency dictionaries.IEEE Transactions on SignalProcessing,1993,41(12):3397-3415.
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[6]Chen S S,Donoho D L,Saunders M A.Atomicdecomposition by basis pursuit.SIAM Journal of Sci.Comput.,1999,20(1):33-61.
[7]Liu J L,Marfurt K J.Matching pursuit decomposition usingMorlet wavelets.∥Expanded Abstracts of 75th SEG AnnualInternational Meeting.2005:786-789.
[8]Chakraborty A,Okaya D.Frequency-time decomposition ofseismic data using wavelet-based methods.Geophysics,1995,60(6):1906-1916.
[9]Castagna J P,Sun S,Siegfried R W.Instantaneous spectralanalysis:detection of low-frequency shadows associated withhydrocarbons.The Leading Edge,2003,22(2):120-127.
[10]陈发宇,杨长春.基于MP方法的地震信号快速分解算法.地球物理学进展,2007,22(6):1692-1697.Chen F Y,Yang C C.Seismic signal's decomposition based onmatching pursuits method.Progress in Geophysics(inChinese),2007,22(6):1692-1697.
[11]陈发宇,杨长春.对依据频率的匹配追踪快速算法的改进.石油物探,2009,48(1):80-83.Chen F Y,Yang C C.An improvement for frequency-dominated fast matching pursuits algorithm.GeophysicalProspecting for Petroleum(in Chinese),2009,48(1):80-83.
[12]Taner M T,Koehler F,Sheriff R E.Complex seismic traceanalysis.Geophysics,1979,44(6):1041-1063.
[13]Wang Y H.Seismic time-frequency spectral decomposition bymatching pursuit.Geophysics,2007,72(1):13-20.
[14]陈林,宋海斌.基于Morlet小波匹配追踪算法的地震时频属性提取.石油地球物理勘探,2008,43(6):673-679.Chen L,Song H B.Extraction of seismic time-frequencyattribute based on Morlet wavelet match tracing algorithm.Oil Geophysical Prospecting(in Chinese),2008,43(6):673-679.
[15]Liu J,Marfurt K J.Instantaneous spectral attributes todetect channels.Geophysics,2007,72(2):23-31.
[16]Morlet G,Arens G,Fourgeau E,et al.Wave propagationand sampling theory-Part II:sampling theory and complexwaves.Geophysics,1982,47(2):222-236.
[2]LaMotte L R,Hocking R R.Computational efficiency in theselection of regression variables.Technometrics,1970,12(1):83-93.
[3]Cohen L.Time-Frequency Analysis.Prentice Hall,1995.
[4]Mallat S G,Zhang Z F.Matching pursuits with time-frequency dictionaries.IEEE Transactions on SignalProcessing,1993,41(12):3397-3415.
[5]Davis G M,Mallat S G,Zhang Z F.Adaptive time-frequencydecompositions.Optical Engineering,1994,33(7):2183-2191.
[6]Chen S S,Donoho D L,Saunders M A.Atomicdecomposition by basis pursuit.SIAM Journal of Sci.Comput.,1999,20(1):33-61.
[7]Liu J L,Marfurt K J.Matching pursuit decomposition usingMorlet wavelets.∥Expanded Abstracts of 75th SEG AnnualInternational Meeting.2005:786-789.
[8]Chakraborty A,Okaya D.Frequency-time decomposition ofseismic data using wavelet-based methods.Geophysics,1995,60(6):1906-1916.
[9]Castagna J P,Sun S,Siegfried R W.Instantaneous spectralanalysis:detection of low-frequency shadows associated withhydrocarbons.The Leading Edge,2003,22(2):120-127.
[10]陈发宇,杨长春.基于MP方法的地震信号快速分解算法.地球物理学进展,2007,22(6):1692-1697.Chen F Y,Yang C C.Seismic signal's decomposition based onmatching pursuits method.Progress in Geophysics(inChinese),2007,22(6):1692-1697.
[11]陈发宇,杨长春.对依据频率的匹配追踪快速算法的改进.石油物探,2009,48(1):80-83.Chen F Y,Yang C C.An improvement for frequency-dominated fast matching pursuits algorithm.GeophysicalProspecting for Petroleum(in Chinese),2009,48(1):80-83.
[12]Taner M T,Koehler F,Sheriff R E.Complex seismic traceanalysis.Geophysics,1979,44(6):1041-1063.
[13]Wang Y H.Seismic time-frequency spectral decomposition bymatching pursuit.Geophysics,2007,72(1):13-20.
[14]陈林,宋海斌.基于Morlet小波匹配追踪算法的地震时频属性提取.石油地球物理勘探,2008,43(6):673-679.Chen L,Song H B.Extraction of seismic time-frequencyattribute based on Morlet wavelet match tracing algorithm.Oil Geophysical Prospecting(in Chinese),2008,43(6):673-679.
[15]Liu J,Marfurt K J.Instantaneous spectral attributes todetect channels.Geophysics,2007,72(2):23-31.
[16]Morlet G,Arens G,Fourgeau E,et al.Wave propagationand sampling theory-Part II:sampling theory and complexwaves.Geophysics,1982,47(2):222-236.
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