一小波奇异值分解的瞬变弱信号检测-中国石油大学学报.pdf

2014年摇 第38卷摇 摇 摇 摇 摇 摇 中国石油大学学报(自然科学版)摇 摇 摇 摇 摇 摇 摇 摇 Vol.38摇 No.3 摇 第3期摇 摇 摇 摇 摇 摇 摇 摇 Journal of China University of Petroleum摇 摇 摇 摇 摇 摇 摇 摇 Jun.2014 摇 摇 文章编号:1673鄄5005(2014)03鄄0181鄄05摇 摇 摇 doi:10.3969/ j.issn.1673鄄5005.2014.03.030 一小波奇异值分解的瞬变弱信号检测 徐彦凯,双摇 凯 (中国石油大学地球物理与信息工程学院,北京 102249) 摘要:研究小波阈值法和奇异值分解法,分析最大分解层数、阈值函数、小波基函数的选取以及窗长和保留奇异值个 数等参数的选择,并在此基础上提出小波与奇异值分解相结合降噪检测信号的方法。 该方法首先将信号作小波分 解,再对小波分解系数作奇异值分解,最后通过阈值法保留小波系数并重建降噪信号,利用重建信号进行信号检测。 结果表明:该方法能更好地区分信号和噪声,获得更好的降噪和检测结果。 关键词:小波阈值法;奇异值分解;瞬变信号;信号检测 中图分类号:TN911郾7摇 摇 摇 文献标志码:A Detection of transient weak signal based on wavelet transform and singular value decomposition XU Yan鄄kai,SHUANG Kai (College of Geophysics and Information Engineering in China University of Petroleum,Beijing 102249,China) Abstract:The wavelet鄄threshold method and the singular value decomposition (SVD) were introduced for detection of transient weak signal. Detailedaspectsinthemethodswerediscussed,includinghowtoselectthemaximumdecomposition level,threshold function,wavelet basis function,window length andthe effective singular value number. A new detecting method integrating the wavelet method and the singular value decomposition was put forward. In the method,the transient weak signal is decomposed by db2 wavelet,andthenthewaveletcoefficientswhich arede鄄noisedby singularvaluedecom鄄 position are used to reconstruct the signal. Simulation results demonstrate that the proposed method is efficient in distin鄄 guishing the transient weak signal from noise. By comparison, the proposed method outperforms the wavelet鄄threshold method and SVD. Key words:wavelet鄄threshold method;singular value decomposition;transient signal;signal detection 摇 摇 在油气井下电磁脉冲数据传输中,有效信号具