Riker子波匹配追踪算法及其改进
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摘要
匹配追踪(Matching Pursuit)算法的基本思想是基于信号的可分解和重构,是在一个确定的函数集合中自适应地选择一些函数来表示一个信号的计算过程,函数集合中的每个函数都称为原子。本文利用奇异值分解对传统的匹配追踪算法进行了改进,提高收敛速度、计算速度以及重构精度,并将得到的时频分布与其他方法进行对比,测验结果证明了改进算法的高效性和有效性。
The basic idea of Matching Pursuit algorithm is based on the possibility of decomposition and reconstruction of seismic data.It is a process in which a series of functions can be chosen from a certain function set to represent a given signal,and the each and every function within the function set is called as an atom.This paper uses singular value decomposition method to revise matching pursuit algorithm,and improves the speed of convergence and computation,and then compares the time-frequency distribution of the revised matching pursuit with other methods.The result proves the effectiveness of the revised matching pursuit algorithm.
The basic idea of Matching Pursuit algorithm is based on the possibility of decomposition and reconstruction of seismic data.It is a process in which a series of functions can be chosen from a certain function set to represent a given signal,and the each and every function within the function set is called as an atom.This paper uses singular value decomposition method to revise matching pursuit algorithm,and improves the speed of convergence and computation,and then compares the time-frequency distribution of the revised matching pursuit with other methods.The result proves the effectiveness of the revised matching pursuit algorithm.
引文
[1]焦叙明.时频分析及其在地震资料处理分析中的应用[D].青岛:中国海洋大学,2008.
[2]董建华,顾汉明,张星.几种时频分析方法的比较及应用[J].工程地球物理学报,2007,4(4):312~316.
[3]刘葵,刘招君,朱建伟.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.
[4]路朋飞,杨长春,郭爱华.频谱成像技术研究进展[J].地球物理学进展,2007,22(5):1517~1521.
[5]渥伊尔马滋.地震资料分析——地震资料处理、反演和解释(上册)[M].刘怀山,曹猛起,张进,等译.北京:石油工业出版社,2006,31~35.
[6]姚天任,孙洪.现代信号分析与处理[M].武汉:华中科技大学出版社,1999.
[7]张英德,刘江平,刘良琼.Hilbert变换在地质雷达数据处理中的应用[J].工程地球物理学报,2004,1(4):349~352.
[8]褚秦祥,徐忠祥,吴国平.信号分析与处理[M].武汉:中国地质大学出版社,1995.
[9]陆基孟.地震勘探原理(下册)[M].东营:中国石油大学出版社,2002.
[10]陈宇发,尚永生,杨长春.Matching Pursuit方法综述[J].地球物理学进展,2007,22(4):1466~1473.
[11]王正林,刘明.精通MATLAB7[M].北京:电子工业出版社,2007.
[12]Jianlei Liu.Spectral decomposition and its applica-tionin mapping Stratigraphy and hydrocarbons[D].University of Houston,2006.
[13]Liu J,Wu Y,Han D.Ti me-frequency decompositionbased on Ricker wavelet[R].Houstoncity:Institute ofGeosciences,University of Houston,2004.
[14]Yanghua Wang.Seismic ti me-frequency spectraldecomposition by matching pursuit[J].Geophysics,2007,72(1):13~20.
[15]Avijit Chakraborty,David Okaya.Frequency-ti me de-composition of seismic data using wavelet-based meth-ods[J].Geophysics,1995,50(6):1906~1916.
[16]Thang Nguyen and John Castagna.Matching Pur-suit of Two Di mensional Seismic Data and Its Filte-ring Application[R].Oklahoma city:Institute forExploration and Development Geosciences,Univer-sity of Oklahoma,2005.
[17]姚姚.地球物理反演基本理论与应用方法[M].武汉:中国地质大学出版社,2002.
[18]张胜业,潘玉玲.应用地球物理学原理[M].武汉:中国地质大学出版社,2004.
[19]王家映.地球物理反演理论[M].北京:高等教育出版社,2004.
[2]董建华,顾汉明,张星.几种时频分析方法的比较及应用[J].工程地球物理学报,2007,4(4):312~316.
[3]刘葵,刘招君,朱建伟.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.
[4]路朋飞,杨长春,郭爱华.频谱成像技术研究进展[J].地球物理学进展,2007,22(5):1517~1521.
[5]渥伊尔马滋.地震资料分析——地震资料处理、反演和解释(上册)[M].刘怀山,曹猛起,张进,等译.北京:石油工业出版社,2006,31~35.
[6]姚天任,孙洪.现代信号分析与处理[M].武汉:华中科技大学出版社,1999.
[7]张英德,刘江平,刘良琼.Hilbert变换在地质雷达数据处理中的应用[J].工程地球物理学报,2004,1(4):349~352.
[8]褚秦祥,徐忠祥,吴国平.信号分析与处理[M].武汉:中国地质大学出版社,1995.
[9]陆基孟.地震勘探原理(下册)[M].东营:中国石油大学出版社,2002.
[10]陈宇发,尚永生,杨长春.Matching Pursuit方法综述[J].地球物理学进展,2007,22(4):1466~1473.
[11]王正林,刘明.精通MATLAB7[M].北京:电子工业出版社,2007.
[12]Jianlei Liu.Spectral decomposition and its applica-tionin mapping Stratigraphy and hydrocarbons[D].University of Houston,2006.
[13]Liu J,Wu Y,Han D.Ti me-frequency decompositionbased on Ricker wavelet[R].Houstoncity:Institute ofGeosciences,University of Houston,2004.
[14]Yanghua Wang.Seismic ti me-frequency spectraldecomposition by matching pursuit[J].Geophysics,2007,72(1):13~20.
[15]Avijit Chakraborty,David Okaya.Frequency-ti me de-composition of seismic data using wavelet-based meth-ods[J].Geophysics,1995,50(6):1906~1916.
[16]Thang Nguyen and John Castagna.Matching Pur-suit of Two Di mensional Seismic Data and Its Filte-ring Application[R].Oklahoma city:Institute forExploration and Development Geosciences,Univer-sity of Oklahoma,2005.
[17]姚姚.地球物理反演基本理论与应用方法[M].武汉:中国地质大学出版社,2002.
[18]张胜业,潘玉玲.应用地球物理学原理[M].武汉:中国地质大学出版社,2004.
[19]王家映.地球物理反演理论[M].北京:高等教育出版社,2004.
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