摘要
研究伸缩因子为3紧支撑对称双正交小波的构造问题。任给一个插值对称的加细函数,本文提供一个构造其对偶尺度函数的迭代算法,其对偶尺度函数的正则性可以达到任意水平,讨论了它的一些性质,如对称性和衰减性。最后,给出构造算例。
This paper considers the construction of 3-band compactly supported symmetric biorthogonal wavelets.Given an interpolatory refinable function,we present an explicit iterative algorithm for constructing its dual scaling function with desired regularity,and discuss the properties of the constructed scaling function,such as its symmetry and decay.Finally,several design examples are given.
出处
《工程数学学报》
CSCD
北大核心
2009年第6期1112-1118,共7页
Chinese Journal of Engineering Mathematics
基金
The Natural Science Foundation of Guangdong Province (06105648
05008289)
关键词
紧支撑
双正交的
对称的
插值
尺度函数
compactly supported
biorthogonal
symmetric
interpolating
scaling function
