基于小波变换模极大值的地震信号去噪处理方法

英文篇名：A Seismic Data Processing Method Based on Modular Maximum of Wavelet Transforms
中文刊名：江汉石油学院学报
英文刊名：Journal of Jianghan Petroleum Institute
作者：田金文 ; 高谦 ; 杜拥军
英文作者：TIAN Jin wen ; GAO Qian (Jianghan Petroleum Institute ; Jingzhou 434102) Du Yong jun (Zhongyuan Petroleum Exploration Bureau ; Puyang 457002)
中文关键词：地震数据处理 ; 地震信号 ; 噪声控制 ; 小波变换 ; 模极大值
英文关键词：seismic data processing ; seismic signal ; noise control ; wavelet transform ; modular maximum value
出版日期：2001-03-30
机构：江汉石油学院理学院!湖北荆州434102,江汉石油学院理学院!湖北荆州434102,中原油田分公司采油一厂!河南濮阳457002
年：2001
期：01
出版单位：江汉石油学院学报

摘要

分析了信号和噪声的奇异指数。根据不同奇异指数函数的小波变换的局部模极大值具有不同的传播特性的理论 ,在相邻模极小构成的待选通域中分析出噪声局部极大值所在的选通域进行平滑处理 ,反变换重建出去噪信号。将该方法用于正弦信号去噪、合成地震信号去噪和实际地震信号去噪 ,结果表明这种方法计算简单且有较好的去噪效果
The singularity indexes of signal and noise are analyzed According to the theory that modular maximum values of wavelet transforms of the functions with different singularity indexes have different spreading characteristics, local maximum values of noise are analyzed from adjacent modular minimum and the smothing is conducted over the pass regions, at which local maximum of noise is located Then noise extracted signal is reconstructed by inverse transform This method is used to extract noise from sinusoidal signal, synthetical seismogram and oilfield seismic data respectively The result shows it is simple and effective

引文

[ 1] Fank JD,Wapenaar C P A.Wavefield extrapolation using the wavelet transform[A] .6 4th SEG Meeting[C] .Am erican,ExpandedAbstraces,1994.135 5～ 135 8.
    [2 ] Miao X G,Moon W M. Application of the wavelet transform in seismic data processing [A] . 6 4th SEG Meeting [C] .American ,Expanded Abstraces,1994.14 6 1～ 14 6 4.
    [3] Mallat S.Singularity detection and processing with wavelets[J] .IEEE Trans.on Information Theory,1992 ,38(2 ) :6 18～ 6 43.
    [4]王斌 ,田金文 ,彭复员 .小波去噪中对模极大值的处理 [J] .华中理工大学学报 ,1997,2 5 (11) :6 1～ 6 3.
    [5 ]宋焕生 ,梁德群 ,刘春阳 .一种新的小波变换域选通滤波器 [J] .信号处理 ,1996 ,12 (4) :311～ 315