摘要
小波函数的构造是小波理论分析与应用研究的基础 ,不同的小波函数具有不同的光滑性、消失矩、对称性等性能指标。如何根据所处理的信号特征构造或者选择最佳的小波函数、提高信号处理的效率与质量是小波理论与应用研究的目的。文章从小波构造的角度论述了小波理论的发展历程 ,着重论述了几种有代表性的小波构造方法、实现原理及其最新研究进展 。
The constructions of wavelets or mother wavelet functions are the bases for studying wavelet theory and its application. The different wavelet functions have various properties. Construction of the best wavelet for a given signal and further improvement of the signal processing efficiency and quality are the common aim or interest for theoretical and applied researches. Along with the development of wavelets theory, several methods and their principles and procedures of wavelet construction were discussed in detail. The graphics of scaling function and wavelets function were given with MATLAB 6.0 Language.
出处
《石油大学学报（自然科学版）》
CSCD
北大核心
2004年第1期127-131,共5页
Journal of the University of Petroleum,China(Edition of Natural Science)
基金
中国石油天然气集团公司创新基金资助项目 (W 0 3 0 5 0 1)
关键词
小波函数
消失矩
对称性
尺度函数
小波分析技术
wavelet analysis
wavelet construction
scaling function
wavelet function
lifting scheme
theoretical research progress
