利用小波变换极大值来检测信号奇异性

英文篇名：Singularity Detection via Wavelet Transform Modulus Maxima
中文刊名：遥感信息
英文刊名：Remote Sensing Information
作者：郑庆庆
英文作者：ZHENG Qing-qing(college of information science and engineering ; wuhan university of science and technology ; wuhan 430081 ; China)
中文关键词：小波变换模极大值 ; 奇性检测 ; Lipschitz指数
英文关键词：waveletTransform modulus maxima ; singularity detection ; lipschitz exponent
出版日期：2006-02-28
机构：武汉科技大学信息科学与工程学院湖北武汉430081
年：2006
期：01
出版单位：遥感信息

摘要

通过模型算例验证了信号的奇异性或局部正则性可以由其小波变换幅值随尺度参数的衰减性来刻画,即通过跟踪小波变换在细尺度下的局部极大模来检测[1];且在随机噪声的影响下,该方法仍然有效。
The singularity of a signal could be depicted by the attenuation of WaveletTransform modulus as scale changes.That is,signal singularity could be detected by tracking wavelet transform modulus local maxima with fine scales.In this paper, some models and examples are given to support the above-mentioned conclusion.Even if the signal is affected by stochastic noise,the method is also efficient.

引文

1 Stéphane Mallat,A Wavelet Tour of Signal Processing[M].China Machine Press,2002.
    2付燕,人工地震信号去噪方法研究[D].西北工业大学博士学位论文,2002.
    3杨福生.小波变换的工程分析与应用[M].科学出版社,2001.
    4 Mioara Alexandrescu et al.Detection of geomagnetic jerks using wavelet analysis[J].Journal of Geophysical Research,1995,100(87):12,557~12572.