基于复解析小波变换的瞬时频率分析方法

提出了利用基于复解析小波变换的瞬时频率分析的新方法。复解析小波变换将Hilbert变换与小波分析紧密结合在一起，具有自适应分析能力。对信号作复小波解析变换得到信号的瞬时频率，通过瞬时频率的功率谱分析就可提取信号特征。通过对齿轮故障振动信号的分析，表明该方法能有效地诊断齿轮局部故障，且与传统的频域方法相比具有更好的分析效果。

Transient Frequency Analysis Based on Complex Analytical Wavelet Transform and Its Application to Fault Diagnosis in Gear Drive

An approach using transient frequency analysis based on complex analytical wavelet transform is proposed in the paper.The complex analytical wavelet transform combines Hilbert transform with wavelet transform tightly and possesses ability of adaptive analysis.The fault characteristics are extracted clearly by power spectrum of the transient frequency,which is obtained by the complex analytical wavelet transform.The practical use in gear faults detection shows that the proposed method is effective in local fault diagnosis of gears and superior to conventional frequency-domain approaches in local fault diagnosis of gear drive.