B-样条小波的构造

The Construction of B-spline Wavelets

本文利用B -样条的函数和多尺度分析构造出了一类新的样条小波。首先 ,这种构造方法是非常简单而又易于操作的 ;其次 ,构造出的这些小波集许多优良性质于一身 ,如短文集 ,高阶的消失矩 ,对称性和反对称性、半正交性及正则性等。

This paper gives a ncw kind of splinc wavclct by the usc of the B-spline function and the idea of mumtircsolution analysis(MRA).Firstly,the mcthod is vcry simple and casy.Sccondly these wavclcts have many good properties such as short support,high vanishing moment,symmetry and anti-symmetry,semi-orthogonal,regularity.