基于MP方法的地震信号快速分解算法
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摘要
Matching Pursuits算法是信号分解的一种具体实现方法.针对地震信号在过完备库中进行分解时原子字典索引和计算量均非常庞大的问题,提出了一种原子字典索引的快速生成算法.首先根据地震信号的频带特征缩小字典索引的频率范围;然后同样依据地震信号的波形特征缩小字典索引的尺度范围.从而利用对地震信号的先验知识,收缩原子字典索引的扫描范围,实现基于Matching Pursuits算法的地震信号的快速分解.
Matching Pursuits algorithm is a specific implementing method for signal decomposition.It's a problem to decompose or reconstruct seismic signal upon over-completed dictionary since the index of the dictionary and the amount of the computation are very huge.So a fast algorithm is proposed in which the dictionary index is shortened in frequency scope and in scale scope according to the frequency characteristic and the waveform characteristic of the seismic signal.Thus,by means of using known knowledge about the seismic signal,shrinkage of scan scope of atom dictionary index is achieved to accomplish the seismic signal's fast decomposition based on Matching Pursuits algorithm.
Matching Pursuits algorithm is a specific implementing method for signal decomposition.It's a problem to decompose or reconstruct seismic signal upon over-completed dictionary since the index of the dictionary and the amount of the computation are very huge.So a fast algorithm is proposed in which the dictionary index is shortened in frequency scope and in scale scope according to the frequency characteristic and the waveform characteristic of the seismic signal.Thus,by means of using known knowledge about the seismic signal,shrinkage of scan scope of atom dictionary index is achieved to accomplish the seismic signal's fast decomposition based on Matching Pursuits algorithm.
引文
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[18]李永兵,陈绪松,刘建明,等.利用VBA和Excel实现快速处理国产甚低频电磁仪DDS-1测量数据[J].地球物理学进展,2005,20(1):225~230.
[19]刘光鼎,陈洁.中国前新生代残留盆地油气勘探难点分析及对策[J].地球物理学进展,2005,20(2):273~275.
[20]崔若飞,武旭仁,陈同俊.煤矿地震数据管理系统的开发[J].地球物理学进展,2005,20(2):374~376.
[21]吴钦宝,王秀东,宁方助.煤田三维地震勘探的应用及效果分析[J].地球物理学进展,2005,20(2):377~380.
[22]陈相府,安西峰,王高伟.浅层高分辨地震勘探在采空区勘测中的应用[J].地球物理学进展,2005,20(2):437~439.
[23]金雷,李月,杨宝俊.用时频峰值滤波方法消减地震勘探资料中随机噪声的初步研究[J].地球物理学进展,2005,20(3):724~728.
[24]李庆谋,刘少华,梁光和.GIS环境下对地球物理地球化学资料奇异性的各向异性估算及其在矿床勘探中的应用[J].地球物理学进展,2005,20(4):1015~1020.
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[26]刘喜武,刘洪,李幼铭,等.基于广义S变换研究地震地层特征[J].地球物理学进展,2006,21(2):440~451.
[27]张军华,吕宁,田连玉,等.地震资料去噪方法技术综合评述[J].地球物理学进展,2006,21(2):546~553.
[28]张进铎.地震解释技术现状及发展趋势[J].地球物理学进展,2006,21(2):578~587.
[29]徐亚,郝天珧,周立宏,等.位场小波变换研究进展[J].地球物理学进展,2006,21(4):1132~1138.
[30]刘英明,邹长春.一种基于遗传算法的测井曲线高分辨率处理方法[J].地球物理学进展,2006,21(4):1202~1207.
[31]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):200~206.
[32]陈赟,高乐,赵烽帆.一种基于频率域偏振分析提高三分量地震资料信噪比的方法[J].地球物理学进展,2007,22(1):255~261.
[33]苟学强,张义军,董万胜,郄秀书.0101基于小波的地闪首次回击辐射场的多重分形分析[J].地球物理学报,2007,50(1):101~105.
[34]徐果明,姚华建,朱良保,沈玉松.中国西部及其邻域地壳上地幔横波速度结构[J].地球物理学报,2007,50(1):193~208.
[35]凡友华,陈晓非,刘雪峰,刘家琦,陈小宏.Rayleigh波的频散方程高频近似分解和多模式激发数目[J].地球物理学报,2007,50(1):233~239.
[36]刘洪,袁江华,勾永峰,张向君,李幼铭.地震逆散射波场和算子的谱分解[J].地球物理学报,2007,50(1):240~247.
[37]高静怀,周艳辉,毛剑,陈文超,吴如山,李幼铭.局部角度域波传播步进算法研究[J].地球物理学报,2007,50(1):248~259.
[38]刘定进,印兴耀.傅里叶有限差分法保幅叠前深度偏移方法[J].地球物理学报,2007,50(1):268~276.
[2]Ferrando S E,Kolasa L A,Kovacevic N.A flexible implemen-tation of matching pursuit for Gabor dictionaries.
[3]Durka P J.Stochastic Time-frequency dictionaries for matc-hing pursuit[J].IEEE Trans.Signal Processing.2001,49(3):507~510.
[4]Qian S,Chen D.Signal representation via adaptive normalizedGaussian functions[J].Signal Processing,1994,36:1~11.
[5]Liu J,Wu Y,Han D,Li X.Time-frequency decompositionbased on Ricker wavelet:74th Annual International Meeting[J].SEG,Expanded Abstracts,2004,1937~1940.
[6]Gribonval R.Fast matching pursuit with a multiscale dictiona-ry of Gaussian Chirps[J].IEEE.Trans.on Signal Process-ing,2001,49(5):994~1001.
[7]Liu Q,Wang Q,Wu L.“Size of the dictionary in matchingpursuit algorithm”[J].IEEE Trans.Sig.Proc.,2004,52(12):3403~3408.
[8]Arthur P L,Philips C L,Voiced/unvoiced speech discrimina-tion in noise using Gabor atomic decomposition[A].Proc ofIEEE ICASSP[C].Hong Kong:IEEE,2003,I(4):820~828.
[9]Gratkowski M,Haueisen J,Arendt-Nielsen L,Chen A C,Zanow F.Time-frequency filtering of MEG signals with matc-hing pursuit[J].J Physiol Paris.2006,99(1):47~57.
[10]Wang Y H.Seismic time-frequency spectral decomposition bymatching pursuit[J].Geophysics,2007,72(1),13~20.
[11]Durka PJ,Blinowska KJ.Analysis of EEG transients bymeans of matching pursuit[J].Ann Biomed Eng.1995,23(5):608~611.
[12]Cui J,Wong W,Mann S.Time-frequency analysis of visualevoked potentials by means of matching pursuit with chirpletatoms[J].Conf Proc IEEE Eng Med Biol Soc.2004,1:267~70.
[13]尹忠科,王建英,VandergheynSt P.在低维空间实现的图像稀疏分解算法[J].电讯技术,2004,44(3):12~15.
[14]傅霆,尧德中.稀疏分解的加权迭代方法及其初步应用[J].电子学报,2004,32(4):567~570.
[15]尹忠科,王建英,邵君.基于原子库结构特性的信号稀疏分解[J].西南交通大学学报,2004,40(2):173~178.
[16]刘光鼎.我国油气资源勘探开发中存在地主要问题及对策[J].地球物理学进展,2005,20(1):1~3.
[17]殷文,印兴耀.基于MPI的时频分布的改进及应用[J].地球物理学进展,2005,20(1):165~169.
[18]李永兵,陈绪松,刘建明,等.利用VBA和Excel实现快速处理国产甚低频电磁仪DDS-1测量数据[J].地球物理学进展,2005,20(1):225~230.
[19]刘光鼎,陈洁.中国前新生代残留盆地油气勘探难点分析及对策[J].地球物理学进展,2005,20(2):273~275.
[20]崔若飞,武旭仁,陈同俊.煤矿地震数据管理系统的开发[J].地球物理学进展,2005,20(2):374~376.
[21]吴钦宝,王秀东,宁方助.煤田三维地震勘探的应用及效果分析[J].地球物理学进展,2005,20(2):377~380.
[22]陈相府,安西峰,王高伟.浅层高分辨地震勘探在采空区勘测中的应用[J].地球物理学进展,2005,20(2):437~439.
[23]金雷,李月,杨宝俊.用时频峰值滤波方法消减地震勘探资料中随机噪声的初步研究[J].地球物理学进展,2005,20(3):724~728.
[24]李庆谋,刘少华,梁光和.GIS环境下对地球物理地球化学资料奇异性的各向异性估算及其在矿床勘探中的应用[J].地球物理学进展,2005,20(4):1015~1020.
[25]张军华,吕宁,田连玉,等.地震资料去噪方法、技术综合评述[J].地球物理学进展,2005,20(4):1083~1091.
[26]刘喜武,刘洪,李幼铭,等.基于广义S变换研究地震地层特征[J].地球物理学进展,2006,21(2):440~451.
[27]张军华,吕宁,田连玉,等.地震资料去噪方法技术综合评述[J].地球物理学进展,2006,21(2):546~553.
[28]张进铎.地震解释技术现状及发展趋势[J].地球物理学进展,2006,21(2):578~587.
[29]徐亚,郝天珧,周立宏,等.位场小波变换研究进展[J].地球物理学进展,2006,21(4):1132~1138.
[30]刘英明,邹长春.一种基于遗传算法的测井曲线高分辨率处理方法[J].地球物理学进展,2006,21(4):1202~1207.
[31]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):200~206.
[32]陈赟,高乐,赵烽帆.一种基于频率域偏振分析提高三分量地震资料信噪比的方法[J].地球物理学进展,2007,22(1):255~261.
[33]苟学强,张义军,董万胜,郄秀书.0101基于小波的地闪首次回击辐射场的多重分形分析[J].地球物理学报,2007,50(1):101~105.
[34]徐果明,姚华建,朱良保,沈玉松.中国西部及其邻域地壳上地幔横波速度结构[J].地球物理学报,2007,50(1):193~208.
[35]凡友华,陈晓非,刘雪峰,刘家琦,陈小宏.Rayleigh波的频散方程高频近似分解和多模式激发数目[J].地球物理学报,2007,50(1):233~239.
[36]刘洪,袁江华,勾永峰,张向君,李幼铭.地震逆散射波场和算子的谱分解[J].地球物理学报,2007,50(1):240~247.
[37]高静怀,周艳辉,毛剑,陈文超,吴如山,李幼铭.局部角度域波传播步进算法研究[J].地球物理学报,2007,50(1):248~259.
[38]刘定进,印兴耀.傅里叶有限差分法保幅叠前深度偏移方法[J].地球物理学报,2007,50(1):268~276.
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