从傅立叶变换到小波变换  

From Fourier Transform to Wavelet Transform

作　　者：陈坤[1] 张靖[1] 黄石红[1] 

机构地区：[1]东南大学,南京210096

出　　处：《汽轮机技术》2007年第3期182-184,共3页Turbine Technology

摘　　要：傅立叶变换与小波变换是应用于工业领域的两种重要的数学变换。由于傅立叶变换不能对特定频率出现的时间进行精确定位,使得它的应用范围受到很大的局限性。而小波变换由于在变换窗口的参数的选择上有很大的灵活性,使它在工业领域得到越来越广泛的应用。本文从傅立叶变换着手,分析了它的不足之处,进而引入小波变换的概念,并用多分辨分析的方法对非稳态信号进行分析。The Fourier transform and the wavelet transform are two important mathematical transforms used in industry. The applications of Fourier transform have more localizations because it can not obtain the precise time localization of the spectral frequency. The wavelet transform is more flexible in the choosing variable of the window function, so it is used in industry more and more. This article introduces the Fourier transform first, analyses its deficiencies, than introduce the concept of the wavelet transform and uses the muhiresolution analysis to analyse the non-stationary signal.

关 键 词：傅立叶变换 小波变换 多分辨分析 

分 类 号：TN911.6[电子电信—通信与信息系统]