地震信号复数域高效匹配追踪分解
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摘要
本文提出了一种复数域快速匹配追踪算法,通过在复数域求解匹配子波的复振幅,同时获得匹配子波的振幅和相位信息,并使主频成为唯一一个需要通过子波库扫描来确定的控制参数,提高了匹配追踪的分解效率。算法对比测试结果表明,本文快速匹配追踪算法的计算效率比原算法提高了上千倍,在很大程度上克服了匹配追踪的计算瓶颈问题,同时能够保持匹配追踪瞬时谱精度和地震信号重构精度。
This paper proposes a complex domain fast matching pursuit algorithm.By solving the complex amplitude of matching wavelets,its amplitude and phase information can simultaneously be obtained.Since only the dominant frequency is needed to scan in the wavelet dictionary as a parameter.So the computational efficiency of matching pursuit is greatly improved.Comparison test indicates that the matching pursuit algorithm proposed in this paper is thousand times faster than the original algorithm.The main computational bottleneck problem is overcome to a great extent.At the same time,the accuracy of matching pursuit instantaneous spectrum and signal reconstruction is maintained.
This paper proposes a complex domain fast matching pursuit algorithm.By solving the complex amplitude of matching wavelets,its amplitude and phase information can simultaneously be obtained.Since only the dominant frequency is needed to scan in the wavelet dictionary as a parameter.So the computational efficiency of matching pursuit is greatly improved.Comparison test indicates that the matching pursuit algorithm proposed in this paper is thousand times faster than the original algorithm.The main computational bottleneck problem is overcome to a great extent.At the same time,the accuracy of matching pursuit instantaneous spectrum and signal reconstruction is maintained.
引文
[1]Chakraborty A and Okaya D.Frequency-time decom-position of seismic data using wavelet-based methods.Geophysics,1995,60(6):1906～1916
[2]Charles I P,Shenghong T,John P C et al.Compari-son of frequency attributes from CWT and MPD spec-tral decompositions of a complex turbidite channelmodel.SEG Technical Program Expanded Ab-stracts,2008,27:394～397
[3]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):673～679Chen Lin,Song Haibin.Extraction of seismic time-frequency attribute based on Morlet wavelet matchtracing algorithm.OGP,2008,43(6):673～679
[4]Liu J,Wu Y,Han D et al.Time-frequency decompo-sition based on Ricker wavelet.SEGTechnicalProgramExpandedAbstracts,2004,23:1937～1940
[5]Liu J,Marfurt K J.Matching pursuit decompositionusing Morlet wavelets.SEG Technical Program Ex-panded Abstracts,2005,24:786～789
[6]张繁昌,李传辉,印兴耀.基于动态匹配子波库的地震数据快速匹配追踪算法.石油地球物理勘探,2010,45(5):667～673Zhang Fanchang,Li Chuanhui,Yin Xingyao.Seismicdata fast matching pursuit based on dynamic matchingwavelet library.OGP,2010,45(5):667～673
[7]Mallat S,Zhang Z.Matching pursuit with time-fre-quency dictionaries.IEEE Transactions on SignalProcessing,1993,41(12):3397～3415
[8]Liu J,Marfurt K.Instantaneous spectral attributesto detect channels.Geophysics,2007,72(1):23～31
[9]Stockwell R,Mansinha L,Lowe R.Localization ofthe complex spectrum:the S transform.IEEETransactions on Signal Processing,1996,44(4):998～1001
[10]Castagna J P,Sun S.Instantaneous spectral analysis:Detection of Low frequency shadows associated with hy-drocarbons.The Leading Edge,2003,22(1):120～127
[11]Castagna J P,Sun S.Comparison of spectral decom-position methods.First Break,2006,24(1):75～79
[2]Charles I P,Shenghong T,John P C et al.Compari-son of frequency attributes from CWT and MPD spec-tral decompositions of a complex turbidite channelmodel.SEG Technical Program Expanded Ab-stracts,2008,27:394～397
[3]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):673～679Chen Lin,Song Haibin.Extraction of seismic time-frequency attribute based on Morlet wavelet matchtracing algorithm.OGP,2008,43(6):673～679
[4]Liu J,Wu Y,Han D et al.Time-frequency decompo-sition based on Ricker wavelet.SEGTechnicalProgramExpandedAbstracts,2004,23:1937～1940
[5]Liu J,Marfurt K J.Matching pursuit decompositionusing Morlet wavelets.SEG Technical Program Ex-panded Abstracts,2005,24:786～789
[6]张繁昌,李传辉,印兴耀.基于动态匹配子波库的地震数据快速匹配追踪算法.石油地球物理勘探,2010,45(5):667～673Zhang Fanchang,Li Chuanhui,Yin Xingyao.Seismicdata fast matching pursuit based on dynamic matchingwavelet library.OGP,2010,45(5):667～673
[7]Mallat S,Zhang Z.Matching pursuit with time-fre-quency dictionaries.IEEE Transactions on SignalProcessing,1993,41(12):3397～3415
[8]Liu J,Marfurt K.Instantaneous spectral attributesto detect channels.Geophysics,2007,72(1):23～31
[9]Stockwell R,Mansinha L,Lowe R.Localization ofthe complex spectrum:the S transform.IEEETransactions on Signal Processing,1996,44(4):998～1001
[10]Castagna J P,Sun S.Instantaneous spectral analysis:Detection of Low frequency shadows associated with hy-drocarbons.The Leading Edge,2003,22(1):120～127
[11]Castagna J P,Sun S.Comparison of spectral decom-position methods.First Break,2006,24(1):75～79
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