Revised empirical wavelet transform based on auto-regressive power spectrum and its application to the mode decomposition of deployable structure

Noise and non-stationary components may result in false boundaries when empirical wavelet transform (EWT) is applied to mode decomposition. In this paper, a revised method named AR-EWT is proposed to overcome this problem. The AR-EWT detects boundaries in the auto-regressive (AR) power spectrum using the Burg algorithm. In the AR power spectrum, white noise and non-stationary factors can be considerably suppressed; therefore, the correct boundaries of different mono-components are successfully detected in the power spectrum. Decomposition results of simulation signals indicate that signals added with white Gaussian noise and non-stationary components can be correctly decomposed using the AR-EWT, which cannot be achieved using the original EWT. Furthermore, comparative analysis with other revised methods is conducted. The results show AR-EWT has superiority over these algorithms. Finally, an application of mode decomposition to the vibration signal of a deployable structure shows that the AR-EWT is more powerful than the original EWT.