缓变信号奇异性的小波变换检测及其应用

Singularity Detection for Slow Change Singular Signals with Wavelets and Its Applactions

按照信号的奇异性特征 ,本文将奇异信号分为剧变奇异信号和缓变奇异信号 ,前者有剧变或剧变的趋势 ,后者具有缓慢变化的趋势 .本文研究了缓变奇异信号与高阶导数之间的关系 ,讨论了利用小波变换理论来检测缓变奇异信号的奇异点位置 (或时刻 )的方法和步骤 。

singular signals are classfied into sharp variation singular signals and slow change singular signals according to their singularity characterization in this paper,the first ones have sharp changes or the tendency of sharp changes,and the otherones have the tendency of slow changes. This paper studies the relations between Lipschitz exponents and higher order derivative,and discusses the detection methods and steps of singular points for slow change singular signals. Finally,the study results are applied in the analysis of topography signals.