摘要
信号的突变点和不规则的结构经常带有大量重要的信息.有平滑边缘的突变点的3个参数分别是边缘的李氏指数α、平滑因子σ和幅度κ.采用高斯函数的一个阶导数作为小波函数,推导出κ,σ,α满足的方程和σ满足的方程,给出了求突变点3个参数的算法.
Catastrophe point and irregular structures often carry the most important information in signals. Three parameters of smooth edge Catastrophe point are edge Lipschit exponent α smooth factor σ and argument factor κ. In this paper, we regard one order differential quotient of Gaussian function as wavelet function. Two equations that involve κ,σ,α and σ have been inferred, the algorithm that computes three parameters of Catastrophe point has been given.
出处
《郧阳师范高等专科学校学报》
2004年第3期26-28,共3页
Journal of Yunyang Teachers College
关键词
卷积型小波变换
突变点
李氏指数
极大模
convolution wavelets' transform
catastrophe point
Lipschitz exponent
modulus maximum