【摘要】 小波变换在数学、电子、图像分析等领域有着广泛的应用,小波变换的实质是生成特殊问题域中正交基的一套技术。本文对希尔伯特空间原理的基础内容进行了讨论,哈尔小波基是具有紧支集的正交函数,哈尔小波基由一个"母"函数直接生成,它构建了一个L2(R)空间上的正交基,使用哈尔小波基的例子来解释小波分析,为小波变换的工程应用进行探索。更多还原

【Abstract】 Wavelet transform is wildly uesed in mathmatics,electronical engineering,image process and so on.In fact,wavelet transform is a technology of special scope of questions in orthonormal basis.After a brief review of the fundamentals of Hilbert space theory,the rudiments of wavelets analysis are illustrated by the application of a very simple family of compactly supported orthonormal functions known as the Haar basis.This family is generated directly from a "mother" function and is shown to constitute an orthnormal basis of L2(R).The primary purpose of the study is to explore the application of wavelet tranform in engineering.更多还原