摘要
证明了Marr小波不满足Mallat定理的条件.利用Marr小波的性质,把Mallat的一个定理进行了推广,并推导出了求突变点的3个参数的公式,数值试验表明最大误差不超过1.5%.
It has been proved that Marr wavelet does not satisfy the terms of theorem of Mallat.The theorem of Mallat has been popularized with the nature of Marr wavelet ,the formula which computes the three parameters of catastrophe point has been inferred,numerical value experiment shows that the greatest error is less than 1.5%.
出处
《武汉大学学报（理学版）》
CAS
CSCD
北大核心
2004年第3期277-279,共3页
Journal of Wuhan University:Natural Science Edition
基金
国家自然科学基金资助项目(19602014)
关键词
卷积型小波变换
突变点
李氏指数
模极大值
convolution wavelets transform
catastrophe point
Lipschitz exponent
modulus maximum
