盲均衡技术在地震信号反褶积中的应用
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摘要
为了消除地震反射系数的影响,有效提取地震子波,提出一种基于最小均方误差准则的SIMO系统的盲均衡算法,该算法利用接收数据的截短协方差矩阵设计了直接均衡器,该方法是盲均衡算法在地震信号处理中的应用,避免传统反褶积运算中对称正定矩阵的限制,从而改善了算法的稳定性并提高收敛速度。计算机仿真表明,新算法可获得较优的地震子波,从而再利用地震子波对反射系数进行分析,并且具有很快的收敛速度。
In order to eliminate the impact of seismic reflection coefficient and effectively extract seismic waves,a seismic blind equalization algorithm for SIMO systems based on minimum mean square error criterion is proposed.The algorithm uses the truncated covariance matrix of the received data to design the direct blind equalizer.The method is a novel application in the seismic signal processing.The novel algorithm avoids the constraints of symmetric positive definite matrix,and the stability of the algorithm and convergence speed is improved.Computer simulations demonstrate the novel algorithm can obtain the better seismic wavelet.Then,the reflection coefficient based on the obtaining seismic wavelet is analyzed,and the algorithm possesses quicker convergence speed.
In order to eliminate the impact of seismic reflection coefficient and effectively extract seismic waves,a seismic blind equalization algorithm for SIMO systems based on minimum mean square error criterion is proposed.The algorithm uses the truncated covariance matrix of the received data to design the direct blind equalizer.The method is a novel application in the seismic signal processing.The novel algorithm avoids the constraints of symmetric positive definite matrix,and the stability of the algorithm and convergence speed is improved.Computer simulations demonstrate the novel algorithm can obtain the better seismic wavelet.Then,the reflection coefficient based on the obtaining seismic wavelet is analyzed,and the algorithm possesses quicker convergence speed.
引文
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[13]ZHANG Jinyu,HUANG Xianxiang,XIE Weida.A blindequalization based detection algorithm for incipient impact fault[J].Mechanical Science and Technology for Aerospace Engi-neering,2008,27(8):996-999(in Chinese).[张金玉,黄先祥,谢伟达.基于盲均衡理论的弱冲击故障的检测研究[J].机械科学与技术,2008,27(8):996-999.]
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[15]HUO Zhiyong.Seismic wavelet estimation based on high-orderstatistics and chaotic genetic algorithm[D].Shandong:China U-niversity Master Degree Thesis,2007(in Chinese).[霍志勇.基于高阶统计量和混沌遗传算法地震子波提取方法的研究[D].东营:中国石油大学硕士研究生学位论文,2007.]
[2]LIU Xiwu,NING Junrui,ZHANG Gailan.Cauchy sparseconstrained bayesian estimation based seismic blind deconvolu-tion frame and algorithm[J].Geophysics Prospecting forPe-troleum,2009,48(5):459-464(in Chinese).[刘喜武,宁俊瑞,张改兰.Cauchy稀疏约束Bayesian估计地震盲反褶积框架与算法研究[J].石油物探,2009,48(5):459-464.]
[3]WU Changyu,YANG Ruijuan,BAO Zheng,et al.Seismicblind deconvolution method based on negative entropy and itsapplication[J].Geophysics,Prospecting forPetroleum,2009,48(3):232-238(in Chinese).[吴常玉,杨瑞娟,鲍峥,等.基于负嫡的地震盲反褶积方法及其应用[J].石油物探,2009,48(3):232-238.]
[4]YIN Xingyao,LIU Jie,YANG Peijie.A negative entropy-based Bussgang seismic blind deconvolution[J].Oil Geophysi-cal Processing,2007,42(5):499-505(in Chinese).[印兴耀,刘杰,杨培杰.一种基于负熵的Bussgang地震盲反褶积方法[J].石油地球物理勘探,2007,42(5):499-505.]
[5]Kedarnath Senapati,Santosh Dhubia,Aurobinda Routray,etal.Blind deconvolution of seismic signals in time and frequencydomain:A study on 2004sumatra earthquake[J].Interna-tional Journal of Signal Processing,Image Processing and Pat-tern Recognition,2011,4(1):29-47.
[6]Israel Cohen,Shalom Raz.Multichannel deconvolution of seis-mic signals using statistical MCMC methods[J].IEEE Tran-sactions on signal processing,2010,58(5):2757-2770.
[7]Al-Qaisi A,Woo W L,Dlay S S.Blind seismic deconvolutionof single channel using instantaneous independent componentanalysis[C].6th International Symposium on CommunicationSystems,Networks and Digital Signal Processing,2008:142-146.
[8]Al-Qaisi A,Woo W L,Dlay S S.Sparsity exploitation ofmixing matrix and reflectivity sequence for ICA-blind seismic de-convolution[C].3rd International Conference on Informationand Communication Technologies:From Theory to Applica-tions,2008:1-6.
[9]Al-Qaisi A,Woo W L,Dlay S S.Blind seismic wavefield sepa-ration using frequency singular value decomposition[C].IEEEEurocon,2009:1378-1385.
[10]Heimer A,Cohen I.Multichannel seismic deconvolutionusing Markov–Bernoulli random-field modeling[J].IEEETransactions on Geoscience and Remote Sensing,2009,47(7):2047-2058.
[11]Sheng Li,Rodrigo C.de Lamare.Blind reduced-rank adap-tive receivers for DS-UWB systems based on joint iterative op-timization and the constrained constant modulus criterion[J].IEEE Transactions on vehicular technology,2011,60(6):2505-2518.
[12]LIU Tao,GUO Jun.Study of 2-dimensional blind equalization inblind image restoration[J].Journal of Electronics&InformationTechnology,2006,28(6):1013-1015(in Chinese).[刘涛,郭军.盲图像恢复中的二维盲均衡研究[J].电子与信息学报,2006,28(6):1013-1015.]
[13]ZHANG Jinyu,HUANG Xianxiang,XIE Weida.A blindequalization based detection algorithm for incipient impact fault[J].Mechanical Science and Technology for Aerospace Engi-neering,2008,27(8):996-999(in Chinese).[张金玉,黄先祥,谢伟达.基于盲均衡理论的弱冲击故障的检测研究[J].机械科学与技术,2008,27(8):996-999.]
[14]Georgios B Giannakis,Robert W Heath,Jr.Blind ChannelEstimation and Equalization in Wireless Sensor NetworksBased on Correlations Among Sensors[J].IEEE Trans.onsignal processing,2005,53(4):1511-1519.
[15]HUO Zhiyong.Seismic wavelet estimation based on high-orderstatistics and chaotic genetic algorithm[D].Shandong:China U-niversity Master Degree Thesis,2007(in Chinese).[霍志勇.基于高阶统计量和混沌遗传算法地震子波提取方法的研究[D].东营:中国石油大学硕士研究生学位论文,2007.]
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