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希尔伯特-黄变换地震信号时频分析与属性提取
引用本文:杨培杰,印兴耀,张广智.希尔伯特-黄变换地震信号时频分析与属性提取[J].地球物理学进展,2007,22(5):1585-1590.
作者姓名:杨培杰  印兴耀  张广智
作者单位:中国石油大学(华东)地球资源与信息学院地球物理系,东营,257061
基金项目:中国石油大学优秀博士学位论文培育资助项目(B2007-02)资助
摘    要:地震信号属于非线性和非平稳信号,传统的分析方法主要包括短时傅立叶变换、小波变换和Cohen类时频分布等等;希尔伯特-黄变换是分析非平稳信号的新方法,该方法的关键部分是信号的经验模态分解,通过经验模态分解,复杂的信号可以分解为有限的数量很少的几个固有模态函数,从而可以得到信号的希尔伯特时频谱;将该方法应用于单个的地震道数据,可以对地震道进行经验模态分解并得到希尔伯特谱,应用于地震剖面,可以得到意义更加明确的瞬时频率和瞬时振幅等地震属性,模型试算和实际应用表明了该方法的有效性.

关 键 词:希尔伯特-黄变换  非平稳信号  时频分析  经验模态分解  固有模态函数
文章编号:1004-2903(2007)05-1585-06
收稿时间:2006-08-01
修稿时间:2007-03-01

Seismic signal time-frequency analysis and attributes extraction based on HHT
YANG Pei-jie,YIN Xing-yao,ZHANG Guang-zhi.Seismic signal time-frequency analysis and attributes extraction based on HHT[J].Progress in Geophysics,2007,22(5):1585-1590.
Authors:YANG Pei-jie  YIN Xing-yao  ZHANG Guang-zhi
Institution:Department of Geophysics, China University of Petroleum (East China
Abstract:Seismic data are nonlinear and nonstationary signals,traditional analysis methods include short-time Fourier transform,wavelet analysis,Cohen's class timefrequency analysis and so on;Hilbert-Huang transform is a new kind of method to analyze nonstationary signals,the key part of the method is the empirical mode decomposition(EMD) method with which any complicated data set can be decomposed into a finite and often small number of intrinsic mode functions(IMFs) that admit well-behaved Hilbert transforms.Use it to a seismic trace,the EMD decomposes trace into several IMFs and instantaneous frequency of the trace are required;Use it to a seismic section,it provides instantaneous frequency and instantaneous phase seismic attributes which are more meaningful than before;Model test and actual application have shown the validity of this method.
Keywords:Hilbert-Huang transforms  non-stationary signals  time-frequency analysis  empirical mode decomposition  intrinsic mode functions
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