基于独立分量分析的多次波盲分离方法研究
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摘要
独立分量分析是一种以高阶统计量为基础的信号处理方法,它以分离非高斯混合信号为目标,建立起各个分量的统计独立性判据.在传统方法中,多次波压制技术是基于二阶统计量,求得最优解得基本前提是一次波和多次波正交.本文将ICA应用于多次波问题,在对地震数据基本构成作了分析的基础上,建立起多次波盲分离的ICA模型,并对其假设条件和固有不确定问题进行了详细的研究分析,然后给出了基于负熵的快速ICA算法并加以改进,最后进行仿真实验.试验结果表明,该方法能有效地压制地震资料中的多次波信息,较好的恢复一次波信息.
ICA is a new multi-dimensional signal processing method based on high-order statistics,which is used to separate non-Gaussian mixed signal,and set up a criterion to decide whether all the components are statistically independent.In the traditional method,multiple suppression technique is based on second-order statistics,which requires that signal primary reflection and multiple must be orthogonal for optimality solution.In this paper,ICA was applied to the multiple suppression issue.We sets up the ICA model of multiple blind separation after analyzing the basic composition of seismic data,and give a detailed analysis of the assumptions and inherent uncertainties of the issue.Then we present the fast ICA algorithm based on negentropy and improve it.Experimental results show that this method can attenuate multiple effectively and recover signal reflection preferably.
ICA is a new multi-dimensional signal processing method based on high-order statistics,which is used to separate non-Gaussian mixed signal,and set up a criterion to decide whether all the components are statistically independent.In the traditional method,multiple suppression technique is based on second-order statistics,which requires that signal primary reflection and multiple must be orthogonal for optimality solution.In this paper,ICA was applied to the multiple suppression issue.We sets up the ICA model of multiple blind separation after analyzing the basic composition of seismic data,and give a detailed analysis of the assumptions and inherent uncertainties of the issue.Then we present the fast ICA algorithm based on negentropy and improve it.Experimental results show that this method can attenuate multiple effectively and recover signal reflection preferably.
引文
[1] Wang Y H.“Multiple substraction using an expanded multichannel matching filter” Geophvsica,2003,68(1) : 772～789．
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[5] 葸晓宇,刘洪,曾锐,秦月霜.浅水型河流相的ICA地震识别方 法[J].地球物理学进展,2006,21(3) :856～863． Xi X Y,Liu H,Zeng R,Qing Y S.ICA Seismic Identification of shallow channel sedimentary subfacies [J].Progress in Geophy(?)ics,2006,21 (3) : 856～863．
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[9] 李景叶,陈小宏,芮振华,基于匹配滤波的多次波压制方法研究[J].地球物理学进展,2007,22(1) :206～212． Li J Y,Chen X H,Rui Z H.Study on multiple attenuation method based on match filter [J].Progress in Geophysics,2007,22(1) :206～212
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[11] Comen P.Independent component analysis,a new concept? [J].Signal Processing.1994,36(3) :287～314．
[12] 杨行俊,郑君里.人工神经网络与盲信号处理[M].北京:清华大学出版社,2003． Yang H J,Zhen J L.Artificial neural networks and blind signal treatment[M].Beijing: TsingHua University Press,2003．
[13] Hyvarinen A,Oja E.Independent component analysis: Algorithm and application[J].Neural Network.2000,13(4) : 411 ～430．
[14] Hyvarinen A,Oja E.A fast fixed-point algorithm for independent component analysis[J].Neural Computation,1997,9(7) :1483～1492．
[15] Walden A T.Non-Gaussian reflectivity,entropy,and deconvlution.Geophysics.1985,50(12) :2862～2888．
[16] 白涛利.基于独立分量分析的地震多次波压制的研究[D].吉林大学硕士学位论文. Bai T L.Independent component analysis and its application on multiple attenuation [ D].Master thesis of Jilin University.
[17] 陆文凯,骆毅,赵波,钱忠平.基于独立分量分析的多次波自适应相减技术[J].地球物理学报,2004,47(5) :151～156． Lu W K,Luo Y,Zhao B,Qian Z P.Adaptive multiple wave subtraction using independent component analysis Chinese Journal of Geophysics,2004,47(5) : 151～156．
[18] 高颖.盲源分离理论及其在地球物理勘探中的应用[D].吉林大学博士学位论文. Gao Y.Blind source separation theory and its application in geophysical exploration[D].PhD thesis of Jilin University.
[19] 刘诚.基于独立分量分析的地震信号多次波盲分离方法研究[D].成都理工大学硕士学位论文. Liu C.The method of multiple attenuation based on independent component analysis [D].Master thesis of Chengdu University of Technology.
[2] 高颖.独立分量分析及其在地学多次波压制中的应用[D].吉林大学硕士学位论文. Gao Y.Independent component analysis and its application on multiple attenuation[D].Master thesis of Jilin University.
[3] 张发启.盲信号处理及应用[M].西安:西安电子科技大学出版社,2006． Zhang F Q.Handle and apply the blind signal[M].Xi'an: Xi' an Electronic Science and Technology University Press,2006．
[4] Makeig S.Bell A.Jung T.Sejnowski.Independent component analysis of electroencephalographic data[J].In Advances in Neural Information Processing Systems.1996,145 ～ 151．
[5] 葸晓宇,刘洪,曾锐,秦月霜.浅水型河流相的ICA地震识别方 法[J].地球物理学进展,2006,21(3) :856～863． Xi X Y,Liu H,Zeng R,Qing Y S.ICA Seismic Identification of shallow channel sedimentary subfacies [J].Progress in Geophy(?)ics,2006,21 (3) : 856～863．
[6] 王绪本,郭勇,王娇,等.基于声波与振动探测的地震灾害生命搜索系统信号分析[J].工程地球物理学报,2005,2:79～84． Wang X B,Guo Y,Wang J,etal.Analysis of victim location system signal in earthquake disaster based on acoustic and seismic wave detection[J].Chinese Journal of Engineering Geophysics,2005,2 : 79 ～ 84．
[7] 刘喜武,刘洪,李幼铭.独立分量分析及其在地震信息处理中应用初探[J].地球物理学进展,2003,18(1) :90～96． Liu X W,Liu H,Li Y M.Independent component analysis and its testing application on seismic signal processing[J].Progress in Geophysics,2003,18(1) :90～96．
[8] 吕文彪,尹成,张白林,等.利用独立分量分析法去除地震噪声[J].石油地球物理勘探,2007,2:132～139． Lti W B,Yin C,Zhang B L,et al.Using independent component analysis to eliminate seismic noises [J ].Oil Geophysical Prospecting,2007,2 : 132～ 139．
[9] 李景叶,陈小宏,芮振华,基于匹配滤波的多次波压制方法研究[J].地球物理学进展,2007,22(1) :206～212． Li J Y,Chen X H,Rui Z H.Study on multiple attenuation method based on match filter [J].Progress in Geophysics,2007,22(1) :206～212
[10] (英)肯德尔(1) ,多元统计[M].北京:北京科学出版社,1983． Kendal M.Multielement Counts[M].Beijing: Beijing Science Press,1983．
[11] Comen P.Independent component analysis,a new concept? [J].Signal Processing.1994,36(3) :287～314．
[12] 杨行俊,郑君里.人工神经网络与盲信号处理[M].北京:清华大学出版社,2003． Yang H J,Zhen J L.Artificial neural networks and blind signal treatment[M].Beijing: TsingHua University Press,2003．
[13] Hyvarinen A,Oja E.Independent component analysis: Algorithm and application[J].Neural Network.2000,13(4) : 411 ～430．
[14] Hyvarinen A,Oja E.A fast fixed-point algorithm for independent component analysis[J].Neural Computation,1997,9(7) :1483～1492．
[15] Walden A T.Non-Gaussian reflectivity,entropy,and deconvlution.Geophysics.1985,50(12) :2862～2888．
[16] 白涛利.基于独立分量分析的地震多次波压制的研究[D].吉林大学硕士学位论文. Bai T L.Independent component analysis and its application on multiple attenuation [ D].Master thesis of Jilin University.
[17] 陆文凯,骆毅,赵波,钱忠平.基于独立分量分析的多次波自适应相减技术[J].地球物理学报,2004,47(5) :151～156． Lu W K,Luo Y,Zhao B,Qian Z P.Adaptive multiple wave subtraction using independent component analysis Chinese Journal of Geophysics,2004,47(5) : 151～156．
[18] 高颖.盲源分离理论及其在地球物理勘探中的应用[D].吉林大学博士学位论文. Gao Y.Blind source separation theory and its application in geophysical exploration[D].PhD thesis of Jilin University.
[19] 刘诚.基于独立分量分析的地震信号多次波盲分离方法研究[D].成都理工大学硕士学位论文. Liu C.The method of multiple attenuation based on independent component analysis [D].Master thesis of Chengdu University of Technology.
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