紧支集正交小波基的构造  

The Construction of Orthonormal Base of Compactly Supported Wavelets

作　　者：傅勤毅[1] 夏松波[1] 王峰林[1] 彭春野 

机构地区：[1]哈尔滨工业大学能源学院

出　　处：《振动工程学报》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

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.

关 键 词：信息处理 小波分析 小波基 共轭滤波器 紧支集 

分 类 号：TN911.23[电子电信—通信与信息系统]