基于双树复小波包变换的地震信号分析方法
|
摘要
尝试性地将一种双树复小波包变换方法应用于地震信号分析中 .复小波包变换综合了实小波包变换与连续复小波变换各自的优点 ,不但能提取信号的相位信息 ,而且选取与被分析信号相频特性相匹配的复小波包 ,可以对信号产生更好的“聚焦”作用 .本文描述了一种双树复小波包变换算法 ,并给出了模拟信号及实际地震记录的分析实例 .研究结果表明 ,双树复小波包变换是分析具有非线性相位地震信号的一种较为有效的方法 .
We tried to apply the dual-tree complex wavelet packet transform in seismic signal analysis. The complex wavelet packet transform (CWPT) combine the merits of real wavelet packet transform with that of complex continuous wavelet transform (CCWT). It can not only pick up the phase information of signal, but also produce better “focalizing” function if it matches the phase spectrum of signals analyzed. We here described the dual-tree CWPT algorithm, and gave the examples of simulation and actual seismic signals analysis. As shown by our results, the dual-tree CWPT is a very effective method in analyzing seismic signals with non-linear phase.
We tried to apply the dual-tree complex wavelet packet transform in seismic signal analysis. The complex wavelet packet transform (CWPT) combine the merits of real wavelet packet transform with that of complex continuous wavelet transform (CCWT). It can not only pick up the phase information of signal, but also produce better “focalizing” function if it matches the phase spectrum of signals analyzed. We here described the dual-tree CWPT algorithm, and gave the examples of simulation and actual seismic signals analysis. As shown by our results, the dual-tree CWPT is a very effective method in analyzing seismic signals with non-linear phase.
引文
陈祥训.2000.正交紧支复小波的生成及其在电力系统的应用[J].中国电机工程学报,20(7):83～88
高静怀,汪文秉,朱光明.1997.小波变换与信号瞬时特征分析[J].地球物理学报,40(6):821～832
刘希强,周蕙兰,郑治真,等.1998.基于小波包变换的弱震相识别方法[J].地震学报,20(4):373～380
刘希强,周蕙兰,郑治真,等.1999.基于小波包变换的滤波方法[J].西北地震学报,21(3):248～253
刘希强,周蕙兰,李红.2000.基于小波包变换的地震数据时频分析方法[J].西北地震学报,22(2):143～146
王恩福,陈学波,祝水平,等.1991.天水地震区S波偏振异常[J].西北地震学报,18(13):55～59
王西文,刘全新,李幼铭,等.2000.地震信号瞬时特征在小波域分频提取的方法和应用[J].石油地球物理勘探,35(4):452～478
张海江,刘雯林.1999.基于紧支集正交小波基的瞬时属性分析[J].石油地球物理勘探,34(6):627～634
DaubechiesI.1988.Orthogonalbasesofcompactlysupportedwavelets[J].CommunicationPureandApplicationMathematics,41:909～996
KingsburyNG .1998.Thedual treecomplexwavelettransform:anewtechniqueforshiftinvarianceanddirectionalfilters[A].In:IEEESignalProcessingScoietyeds.Proceedingsofthe8thIEEEDigitalSignalProcessingWorkshop[C].BryceCanyonUT ,USA ,Au gust1998,86
KingsburyNG .1999.Imageprocessingwithcomplexwavelets[J].PhilTransactionsRoyalSocietyLondonA ,357:2543～2560
KingsburyNG .2000.Adual treecomplexwavelettransformwithimprovedorthogonalityandsymmetryproperties[A].In:IEEECom puterScoietyeds.ProceedingsoftheIEEEIntConfonImageProcessing[C].Vancouver,Canada:September1113,1429
KingsburyNG .2001.Complexwaveletsforshiftinvariantanalysisandfilteringofsignals[J].AppliedComputationalHarmonicAnaly sis,10(3):234～253
RamchandranK .1996.Wavelet,subbandcoding,andbestbases[J].ProceedingsofIEEE ,84(4):541～560
SelesnickIW .2001.Hilberttransformpairsofwaveletbases[J].IEEESignalProcessingLetters,8(6):170～173
高静怀,汪文秉,朱光明.1997.小波变换与信号瞬时特征分析[J].地球物理学报,40(6):821～832
刘希强,周蕙兰,郑治真,等.1998.基于小波包变换的弱震相识别方法[J].地震学报,20(4):373～380
刘希强,周蕙兰,郑治真,等.1999.基于小波包变换的滤波方法[J].西北地震学报,21(3):248～253
刘希强,周蕙兰,李红.2000.基于小波包变换的地震数据时频分析方法[J].西北地震学报,22(2):143～146
王恩福,陈学波,祝水平,等.1991.天水地震区S波偏振异常[J].西北地震学报,18(13):55～59
王西文,刘全新,李幼铭,等.2000.地震信号瞬时特征在小波域分频提取的方法和应用[J].石油地球物理勘探,35(4):452～478
张海江,刘雯林.1999.基于紧支集正交小波基的瞬时属性分析[J].石油地球物理勘探,34(6):627～634
DaubechiesI.1988.Orthogonalbasesofcompactlysupportedwavelets[J].CommunicationPureandApplicationMathematics,41:909～996
KingsburyNG .1998.Thedual treecomplexwavelettransform:anewtechniqueforshiftinvarianceanddirectionalfilters[A].In:IEEESignalProcessingScoietyeds.Proceedingsofthe8thIEEEDigitalSignalProcessingWorkshop[C].BryceCanyonUT ,USA ,Au gust1998,86
KingsburyNG .1999.Imageprocessingwithcomplexwavelets[J].PhilTransactionsRoyalSocietyLondonA ,357:2543～2560
KingsburyNG .2000.Adual treecomplexwavelettransformwithimprovedorthogonalityandsymmetryproperties[A].In:IEEECom puterScoietyeds.ProceedingsoftheIEEEIntConfonImageProcessing[C].Vancouver,Canada:September1113,1429
KingsburyNG .2001.Complexwaveletsforshiftinvariantanalysisandfilteringofsignals[J].AppliedComputationalHarmonicAnaly sis,10(3):234～253
RamchandranK .1996.Wavelet,subbandcoding,andbestbases[J].ProceedingsofIEEE ,84(4):541～560
SelesnickIW .2001.Hilberttransformpairsofwaveletbases[J].IEEESignalProcessingLetters,8(6):170～173
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心