摘要
本文利用Marr小波变换探测信号的奇异性 ,得到了奇异点的位置和阶数α ,以及相应的平滑因子σ和幅度k ,推导出了σ满足的方程 .对h(t) =1- |0 .5 -t|λ,λ <2 ,进行了数值计算 ,相对误差都在 1%以内 。
In this paper, the singularity of signal has been detected by using Marr wavelet transform. Through the method, the position and the order α of singularity have been gotten, and at the same time, the corresponding smooth factor σ, argument factor k have been measured and the equation that involves the parameter σ has been inferred. We measure the particular function h(t)=1-|0.5-t| λ,λ<2 and the relative error is less than 1%. The proceed yields good estimation of the three parameters of signal catastrophe point.
出处
《数学杂志》
CSCD
北大核心
2004年第3期323-326,共4页
Journal of Mathematics
基金
国家自然科学基金资助项目 (196 0 2 0 14 )
关键词
卷积型小波变换
奇异性
李氏指数
模极大值
convolution wavelet transform
singularity
Lipschitz exponent
modulus maximum
