信号的时频分析理论与应用评述

Time-frequency Analysis Theory and Its Application

由傅里叶变换在刻划信号的时间信息和频率信息上的矛盾引出了时频联合分析的思想,在详细介绍了短时傅里叶变换、小波变换、魏格纳威利分布和希尔伯特黄变换这4种典型时频分析方法的基础上,对他们的时频局部性能进行了分析和比较,指出了这些分析方法的优势和存在的问题。最后简要介绍了上面4种典型时频分析方法各自的应用领域。

Because of the limitation of the Fourier transform on processing signals, which are thoroughly carried out in time domain or frequency domain, time - frequency analysis methods are raised. After the short time Fourier transform, wavelet transform,Wigner- Ville distribution, Hilbert-Huang transform are described in detail, the author compares localized performances and points out the advantages and disadvantages of these four methods. At last, the applications of these four methods are discussed simply.