阶比谱分析瞬时频率的小波提取方法

Instantaneous Frequency Extraction Method Based Order Tracking Spectrum Analysis

本文通过对暂态振动信号瞬时频率特点的分析，结合正交小波的结构特点，推导出适用于提取暂态振动信号瞬时频率的具有线性离散幅频特性的一类高通滤波器，并从中找出最适合瞬时频率提取的正交小波——Haar小波．与其他正交小波相比，利用Haar小波变换提取瞬时频率具有速度快、物理意义明确等特点，适合于暂态振动信号的实时处理和分析．

Wavelet was adopted in the extraction of instantaneous frequency of transient vibration signals. With the analysis of characters of instantaneous frequency of transient vibration signals and framework of orthogonal wavelet, a kind of high-pass filter with discreet linear frequency amplitude was derived. It was find out that Haar wavelet was the best orthotropic wavelet used to extract the instantaneous frequency of transient vibration signals. Compared with other wavelets,Haar wavelet has many advantages in application, such as computing quickly and definite physical meanings. And the experiments showed its feasibility and validity in application of real-time processing and analysis of vibration signals.