基于小波变换的频谱细化分析方法

Spectrum Zoom Analysis Method Based on Wavelet Transform

小波理论是傅里叶分析这一学科半个世纪以来的工作结晶，已成功应用于信号分析、图像处理及非线性科学等方面。本文基于小波变换可提取信号所需频率成分的特性，提出了小波变换频谱细化方法，文中介绍了小波变换频谱细化的原理和步骤，进行了计算验证，并与复调制ZOOM－FFT方法进行了比较，结果表明，小波变换细化谱方法，可得到比复调制ZOOM—FFT方法更细密的结果，小波变换细化谱方法实现起来更简单、容易，但计算量较大。

Wavelet theory is thee development of the Fourier analysis. It was successfully used in signal processing, image processing and nonlinear science etc. Based on the time-frequency localization character of wavelet transform, this paper presents the wavelet spectrum zoom method. The principle and steps of the method are introduced. Compared to complex-modulated zoom-FFt method, the wavelet spectrum zoom method can get the better result. Wavelet spectrum zoom method is more convenient, but with greater calculation.