基于多次小波变换的小波域阈值地震信号去噪
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摘要
在常规小波域阈值信号去噪方法的基础上,提出了基于多次小波变换的小波域阈值地震信号去噪方法。根据小波变换下信号和噪声在多尺度空间中的不同特性,对不同尺度下的小波系数用阈值处理,改进了多次小波变换应用于地震信号去噪的方法。数据仿真和实际应用表明,该方法可以有效压制随机干扰,对提高地震记录的信噪比和分辨率都有较好的效果。
Followed the analysis of conventional denoising method by threshold filter on wavelet domain, a seismic data denoising method by threshold filter on wavelet domain based on multi-wavelet transform is proposed. Based on the feature difference between signal and noise on multi-measure domain in wavelet transform, processing the wavelet coefficients in the different measures with thresholds filter, multi-wavelet transform can be improved without losing original signals. Seismic data simulation and practical processing indicate that this method can be used to press random interferences and effectively improve the signal-noise ratio and the resolution of seismic data.
Followed the analysis of conventional denoising method by threshold filter on wavelet domain, a seismic data denoising method by threshold filter on wavelet domain based on multi-wavelet transform is proposed. Based on the feature difference between signal and noise on multi-measure domain in wavelet transform, processing the wavelet coefficients in the different measures with thresholds filter, multi-wavelet transform can be improved without losing original signals. Seismic data simulation and practical processing indicate that this method can be used to press random interferences and effectively improve the signal-noise ratio and the resolution of seismic data.
引文
[1]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.
[2]李华.小波理论分析及其在地震信号处理中的应用研究[D].成都理工学院,2000:43-52.
[3]李幼铭,刘洪,刘喜武.快速独立分量变换与去噪初探[J].中国科学院研究生院学报,2003,20(4):1035-1038.
[4]王首勇,朱光喜,唐远炎.应用最优小波包变换的特征提取方法[J].电子学报,2003,31(7):1035-1038.
[5]程正兴.小波分析算法与应用[M].西安:西安交通大学出版社,1998.
[6]Rioul O,Vetterli M.Wavelets and signal processing[J].IEEE Signal ProcessingMagazine,1991,8(4):14-38.
[7]Avijit Chakraborty,David Okaya.Frequency-time decompo-sition of seismic data using wavelet-based methods[J].Geophysics,1995,60(6):1906-1916.
[8]Antoine J P,Billian A,Collin F.Wavelet analysis[M].Cam-bridge UK:Cambridge UniversityPress,2004:512-519.
[9]付燕.基于二次小波变换的地震信号去噪方法[J].石油地球物理勘探,2005,40(2):154-157.
[10]杨立强,宋海斌,郝天珧,等.基于二维小波变换的随机噪声压制方法研究[J].石油物探,2005,44(1):4-6.
[11]刘鑫,贺振华,黄德济.基于二次小波的地震资料去噪处理研究[J].油气地球物理,2006,4(4):15-18.
[12]陈香朋,曹思远.第二代小波变换及其在地震信号去噪中的应用[J].石油物探,2004,43(6):547-550.
[13]DonohoDL.Denoisingbysoft-thresholding[J].IEEE Trans.on Information Theory,1999,(41):617-627.
[14]徐晨,赵瑞珍.小波分析应用算法[M].北京:科技出版社,2004.
[15]傅燕,赵容椿.小波变换在地震噪声处理中的应用[J].西北工业大学学报,2004,22(6):774-777.
[16]崔华,宋国乡.基于小波阈值去噪方法的一种改进方案[J].现代电子技术,2005,28(1):8-10.
[17]孔祥茜,吴继伟,岳继光.地震信号小波变换的去噪方法[J].计算机辅助工程,2005,14(3):52-56.
[18]陆孟基.地震勘探原理[M].北京:石油大学出版社,1980.
[2]李华.小波理论分析及其在地震信号处理中的应用研究[D].成都理工学院,2000:43-52.
[3]李幼铭,刘洪,刘喜武.快速独立分量变换与去噪初探[J].中国科学院研究生院学报,2003,20(4):1035-1038.
[4]王首勇,朱光喜,唐远炎.应用最优小波包变换的特征提取方法[J].电子学报,2003,31(7):1035-1038.
[5]程正兴.小波分析算法与应用[M].西安:西安交通大学出版社,1998.
[6]Rioul O,Vetterli M.Wavelets and signal processing[J].IEEE Signal ProcessingMagazine,1991,8(4):14-38.
[7]Avijit Chakraborty,David Okaya.Frequency-time decompo-sition of seismic data using wavelet-based methods[J].Geophysics,1995,60(6):1906-1916.
[8]Antoine J P,Billian A,Collin F.Wavelet analysis[M].Cam-bridge UK:Cambridge UniversityPress,2004:512-519.
[9]付燕.基于二次小波变换的地震信号去噪方法[J].石油地球物理勘探,2005,40(2):154-157.
[10]杨立强,宋海斌,郝天珧,等.基于二维小波变换的随机噪声压制方法研究[J].石油物探,2005,44(1):4-6.
[11]刘鑫,贺振华,黄德济.基于二次小波的地震资料去噪处理研究[J].油气地球物理,2006,4(4):15-18.
[12]陈香朋,曹思远.第二代小波变换及其在地震信号去噪中的应用[J].石油物探,2004,43(6):547-550.
[13]DonohoDL.Denoisingbysoft-thresholding[J].IEEE Trans.on Information Theory,1999,(41):617-627.
[14]徐晨,赵瑞珍.小波分析应用算法[M].北京:科技出版社,2004.
[15]傅燕,赵容椿.小波变换在地震噪声处理中的应用[J].西北工业大学学报,2004,22(6):774-777.
[16]崔华,宋国乡.基于小波阈值去噪方法的一种改进方案[J].现代电子技术,2005,28(1):8-10.
[17]孔祥茜,吴继伟,岳继光.地震信号小波变换的去噪方法[J].计算机辅助工程,2005,14(3):52-56.
[18]陆孟基.地震勘探原理[M].北京:石油大学出版社,1980.
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