Singularity Detection for Slow Change Singular Signals with Wavelets and Its Applactions
缓变信号奇异性的小波变换检测及其应用

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.