A Piecewise Prony Method for Phase Synchronization Analysis of EEG

In this study,a piecewise Prony method(PPM) was adopted to decompose the nonstationary EEG signals into a summation of sinusoidal components with decaying or growing envelope in order to obtain the magnitude of the frequency components,frequency and phase information.Then,the phase information was used to calculate difference of the phase of two-channel signal.The degree of phase synchronization of two-channel signals was measured according to Shannon entropy.The proposed method was firstly evaluated on simulated transient non-stationary data.The results showed that PPM could estimate the actual frequency and phase with high resolution.With application to three real rat EEG data groups,the phase synchronization entropy of PPM was consistent with that of the classical methods.Compared with Hilbert method,PPM based synchronization analysis was more robust to noise and non-stationary.