对于旋转设备的非平稳多分量振动信号，在已知转速变化规律的情况下，采用转速跟踪分析中的角域重采样方法使其变成阶比值固定的信号，再利用小波解调方法的带通滤波与解调分析两重功能，就能从混合振动信号中提取出各个阶比分量并获得对应的解析信号。该方法成功地解决了旋转设备严重非平稳振动信号的分析问题，并可拓展应用于至其它非平稳信号的分析。拓展算法具有类似HHT的算法结构，适用面广。文中同时给出的数值计算方法配合采用了细化分析及快速解卷积运算，保证了整体算法的稳定性、精确性和快速性，克服了HHT稳定性差的缺陷。论文最后对航空发动机试车过程中的振动数据采用本文方法和其它方法的应用效果进行了分析对比，证明了本文方法的有效性。

For the nonstationary vibration signal of rotating machinery, when the rotative speed can be known, we can use degree area resampling method in speed tracking order analysis, so as to change the vibration signal into fixed order signal. Then, we can use the wavelet demodulation analysis’s functions as bandwidth filter and demodulation analysis, so as to pick up each order signal and to obtain its analytical signal at the same time. The method successfully solves the serious nonstationary vibration’s analysis problem of rotating machinery, and it can easily be expanded to the other nonstationary signal’s analysis problem. The expansion method has the similar frame as HHT, so it has a wide applied area. With zoom analysis as well as fast deconvolution based on FFT & IFFT, the thesis gives the corresponding numerical calculation method, which ensures the calculation to be stabile, accurate and rapid, and which overcomes the HHT’s deficiency of bad stability. Finally, by the comparison of the different methods’ analytic answer to the vibration signal during an aero engine’s test drive process, the validity of the thesis’s method is proved.