摘要
本文简要地介绍了信号的时-频两维分析的目的、意义,分析对比了小波分析和短时富里叶分析、Wigner 谱分析的异同及主要优点。简述了离散小波变换、离散二进小波变换和离散二进正交小波变换的数字实现方法。文中详细论述了反对称小波和对称小波两类不同小波函数的性质及对小波变换的影响,并分析了它们在异常信号检测中的不同作用。最后介绍了离散二进小波变换滤波器的设计方法,给出了小波互补滤波器的幅频特性公式,并列举了两个滤波器设计实例。
This paper introduces the aim of time-frequency signal analysis,compares the advantages of theWavelet Transform with the Short-Time Fourier Transform and Wigner Distribution,and gives out the al-gorithms of Discret Wavelet Transform,Discret Dyadic Wavelet Transform and Diseret Dyadic Orthonor-mal Wavelet Transform.More chiefly,the paper discusses the properties of symmetrical wavelets and anti-symmetrical wavelets,analyzes their roles in wavelet transform and compares their differences on the de-tection of irregular structures of the signal.The design method of the discret dyadic wavelet filters is alsointroduced.At last,two filter examples are presented.
出处
《振动工程学报》
EI
CSCD
1993年第4期317-326,共10页
Journal of Vibration Engineering
关键词
信号检测
滤波器
时-频分析
小波分析
signal detection,filter,time-frequency analysis,wavelet transform
