Time-varying vibration decomposition and analysis based on the Hilbert transform

This paper introduces a simple method for time-varying vibration decomposition based on the Hilbert transform. The non-stationary frequency of the largest component is estimated as an average function of the instantaneous frequency of the composition, and the corresponding envelope is estimated according to synchronous demodulation. The method is demonstrated using computer simulation of different types of non-stationary and nonlinear vibration.