文档介绍：第卷第期机电产品开发与创新
开发与创新23 2 ,
·2010 年 3 月· Development & Innovation of Machinery & Electrical Products Mar.,2010
文章编号: 1002-6673 (2010) 02-022-03
傅里叶变换与小波分析的对比研究
房永亮
包头轻工职业技术学院内蒙古包头
( , 014045)
摘要: 小波是近十几年才发展起来并迅速应用到图像处理和语音分析等众多领域的一种数学工具, 是
继 110 多年前的傅立叶(Joseph Fourier) 分析之后的一个重大突破, 无论是对古老的自然学科还
是对新兴的高新技术应用学科都产生了强烈冲击。本文先简单回顾傅里叶变换讨论其优缺点,
然后讨论如何克服其缺点和引入窗口傅里叶变换, 继而引入小波的基本概念, 重点探讨在大多
数情况下小波变换优于傅里叶变换的内在原因。
关键词: 小波分析; 傅里叶变换; 加窗傅里叶变换
中图分类号: O29 文献标识码: A doi:.1002-
parative Study of Fourier Transform and Wavelet Analysis
FANG Yong-Liang
(Baotou Light Industry Vocational Technical College, Baotou Inner Mongolia 014035, China)
Abstract: Wavelet analysis,the mathmatical tool which has been developing in recent decades and are applied in many feilds like image pro-
cessing and voice analysis etc., is a great breakthrough after the analytic method of Joseph Fourier 110 years bring about great impact
on both triditional natural sciences and some new high-tech application the following pages, I shall first give an review on
fourier that,we talk about the way we e its weakness and introduce the basic concepts of wavelet,followed by the
introduction of window fourier transformation. The key point of this page is finding the internal reason why wavelet is better than fourier
tran