摘要
分析了小波变换及其多尺度分析方法的基本性质，揭示了有限长双尺度方程在紧支集小波基构造中的重要地位，并从正交共轭滤波器的构造入手，提出了一种紧支集正交小波基的构造方法，构造出一系列特性不同的紧支集正交小波基。文章给出了一组性质较好的共轭滤波器系数，并就Ｎ＝４的情况对两种小波基的性质进行了对比分析。
The paper starts with the concept of the wavelet transform and multi resolution analysis and points out that the multi resolution function has finite items. From the construction of a pair of conjugate filters, a constructing method of orthonormal base of compactly supported wavelets is pointed out. A lot of orthonormal bases of compactly supported wavelets can be constructed with this method. Finally, a series of conjugate filter coefficients with relatively linear phase is computed. As an example, two filters for N=4 are analyzed.
出处
《振动工程学报》
EI
CSCD
1997年第3期293-299,共7页
Journal of Vibration Engineering
基金
国家教委博士点基金
关键词
信息处理
小波分析
小波基
共轭滤波器
紧支集
information processing
wavelet analysis
wavelet base
conjugate filter
