Separating the components of amplitude modulated non-stationary signal based on Hilbert transform

A method based on Hilbert Transform is presented to separate components or to extract the envelope from the non-stationary amplitude modulated signals in the product model where the non-stationary signal is the product of the non-stationary slowly-varying component and stationary fast component. Numerical examples are given to illustrate the efficiency of the presented method. It is demonstrated that the stationary part can be successfully separated from the non-stationary amplitude modulated signals in the product model.