减小离散误差的时频峰值滤波算法
|
摘要
提出减少时频峰值滤波分段点处阶跃误差的改进方法。经过研究时频峰值滤波在频率调制和时频平面峰值滤波时产生的离散误差以及尺度变换方式,发现分段点处阶跃误差与离散傅里叶变换的长度成反比,且与零点在尺度变换后产生的不确定值有关。提出基于定零点尺度变换的时频峰值滤波,在信号尺度变换时将零点变换到瞬时频率区间上的固定值,使各段时频峰值滤波零点偏移量一致,从而消除分段点处的阶跃误差。仿真实验和实际地震信号时频峰值滤波处理结果表明,改进的时频峰值滤波算法能够有效消减随机噪声,减少分段滤波在分段处的阶跃。
The improved time-frequency peak filtering(TFPF) method is proposed in order to reduce the stairs errors at the segmentation points.By studying the discrete error caused by frequency modulation and peak filtering in time-frequency plane,and scaled processing,we find that the stairs errors are inversely proportional to the length of discrete Fourier transform,and also related to the varying value scaled from zero after signal scaling.TFPF based on the fixed zero signal scaling is proposed,and converts the zero to the fixed value in the range of instantaneous frequency to reduce the departure from zero,so that the stairs error are decreased.The results of TFPF processing for simulation and real seismic signals show that the improved TFPF can effectively attenuate the random noise and reduce the steps of sub filter at the sub-section.
The improved time-frequency peak filtering(TFPF) method is proposed in order to reduce the stairs errors at the segmentation points.By studying the discrete error caused by frequency modulation and peak filtering in time-frequency plane,and scaled processing,we find that the stairs errors are inversely proportional to the length of discrete Fourier transform,and also related to the varying value scaled from zero after signal scaling.TFPF based on the fixed zero signal scaling is proposed,and converts the zero to the fixed value in the range of instantaneous frequency to reduce the departure from zero,so that the stairs error are decreased.The results of TFPF processing for simulation and real seismic signals show that the improved TFPF can effectively attenuate the random noise and reduce the steps of sub filter at the sub-section.
引文
[1]邓小英,李月.基于Ricker子波核的支持向量回归方法及其在地震勘探记录去噪处理中的应用[J].吉林大学学报:地球科学版,2007,37(4):821-827.DENG Xiao-ying,LI Yue.Support vector regressionbased on Ricker wavelet kernel funcion and itsapplication to seismic prospecting data denoising[J].Journal of Jilin University:Earth Science Editon,2007,37(4):821-827.
[2]李月,杨宝俊,林红波,等.地震勘探时空域双曲滤波因子的特点与提高信噪比的能力[J].地球物理学报,2008,51(5):1557-1566.LI Yue,YANG Bao-jun,LIN Hong-bo,et al.Characteristics of hyperbolic time-distance relationfilter in seismic prospecting and its ability increasingsignal-to-noise ratio[J].Chinese Journal ofGeophysics,2008,51(5):1557-1566.
[3]杨宝俊,李月,刘晓华,等.改善地震勘探记录的4项技术[J].吉林大学学报:地球科学版,2006,36(5):856-862.YANG Bao-jun,LI Yue,LIU Xiao-hua,et al.Fourprocessing techniques for improving the seismic pros-pecting records[J].Journal of Jilin University:EarthScience Edition,2006,36(5):856-862.
[4]Neelamani R,Baumstein I A,Gillard G D.Coherentand random noise attenuation using the curvelettransform[J].The Leading Edge,2008,27(2):240-248.
[5]Qin Y L,Ko S W,Shin C S.A robust and accuratetraveltime calculation using a frequency-domain two-way wave-equation modeling algorithm[J].GeosystemEngineering,2004,7(1):12-20.
[6]Zhang Z J,Klemperer S L.West-east variation incrustal thickness in northern Lhasa block centralTibet,from deep seismic sounding data[J].Journalof Geophysical Research,2005,110:1-14.
[7]Boashash B,Mesbah M.Signal enhancement by time-frequency peak filtering[J].IEEE Transactions onSignal Processing,2004,52(4):929-937.
[8]Barkat B,Boashash B.Design of higher order poly-nomial Wigner-Ville distributions[J].IEEETransactions on Signal Processing,1999,47(9):2608-2611.
[9]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.JIN Lei,LI Yue,YANG Bao-jun.Reduction ofrandom noise for seismic data by time-frequency peakfiltering[J].Progress in Geophysics,2005,20(3):724-728.
[10]Lin H B,Li Y,Yang B J.Recovery of seismic eventsby time-frequency peak filtering[C]//IEEEConference on Image Processing.San Antonio:[s.n.],2007:441-444.
[11]林红波,李月,潘伟.时频峰值滤波信号增强方法在实际地震资料处理中的应用[J].吉林大学学报:地球科学版,2007,37(5):1038-1041.LIN Hong-bo,LI Yue,PAN Wei.Application ofsignal enhancement method based on time-frequencypeak filtering to seismic data processing[J].Journalof Jilin University:Earth Science Edition,2007,37(5):1038-1041.
[12]李月,林红波,杨宝俊,等.强随机噪声条件下时窗类型局部线性化对TFPF技术的影响[J].地球物理学报,2009,52(7):1899-1906.LI Yue,LIN Hong-bo,YANG Bao-jun,et al.Theinfluence of limited linearization of time window onTFPF under the strong noise background[J].ChineseJournal of Geophysics,2009,52(7):1899-1906.
[2]李月,杨宝俊,林红波,等.地震勘探时空域双曲滤波因子的特点与提高信噪比的能力[J].地球物理学报,2008,51(5):1557-1566.LI Yue,YANG Bao-jun,LIN Hong-bo,et al.Characteristics of hyperbolic time-distance relationfilter in seismic prospecting and its ability increasingsignal-to-noise ratio[J].Chinese Journal ofGeophysics,2008,51(5):1557-1566.
[3]杨宝俊,李月,刘晓华,等.改善地震勘探记录的4项技术[J].吉林大学学报:地球科学版,2006,36(5):856-862.YANG Bao-jun,LI Yue,LIU Xiao-hua,et al.Fourprocessing techniques for improving the seismic pros-pecting records[J].Journal of Jilin University:EarthScience Edition,2006,36(5):856-862.
[4]Neelamani R,Baumstein I A,Gillard G D.Coherentand random noise attenuation using the curvelettransform[J].The Leading Edge,2008,27(2):240-248.
[5]Qin Y L,Ko S W,Shin C S.A robust and accuratetraveltime calculation using a frequency-domain two-way wave-equation modeling algorithm[J].GeosystemEngineering,2004,7(1):12-20.
[6]Zhang Z J,Klemperer S L.West-east variation incrustal thickness in northern Lhasa block centralTibet,from deep seismic sounding data[J].Journalof Geophysical Research,2005,110:1-14.
[7]Boashash B,Mesbah M.Signal enhancement by time-frequency peak filtering[J].IEEE Transactions onSignal Processing,2004,52(4):929-937.
[8]Barkat B,Boashash B.Design of higher order poly-nomial Wigner-Ville distributions[J].IEEETransactions on Signal Processing,1999,47(9):2608-2611.
[9]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.JIN Lei,LI Yue,YANG Bao-jun.Reduction ofrandom noise for seismic data by time-frequency peakfiltering[J].Progress in Geophysics,2005,20(3):724-728.
[10]Lin H B,Li Y,Yang B J.Recovery of seismic eventsby time-frequency peak filtering[C]//IEEEConference on Image Processing.San Antonio:[s.n.],2007:441-444.
[11]林红波,李月,潘伟.时频峰值滤波信号增强方法在实际地震资料处理中的应用[J].吉林大学学报:地球科学版,2007,37(5):1038-1041.LIN Hong-bo,LI Yue,PAN Wei.Application ofsignal enhancement method based on time-frequencypeak filtering to seismic data processing[J].Journalof Jilin University:Earth Science Edition,2007,37(5):1038-1041.
[12]李月,林红波,杨宝俊,等.强随机噪声条件下时窗类型局部线性化对TFPF技术的影响[J].地球物理学报,2009,52(7):1899-1906.LI Yue,LIN Hong-bo,YANG Bao-jun,et al.Theinfluence of limited linearization of time window onTFPF under the strong noise background[J].ChineseJournal of Geophysics,2009,52(7):1899-1906.
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