Analysing Synchronization Phenomena from Bivariate Data by Means of the Hilbert Transform

We use the analytic signal approach based on the Hilbert transform to compute the phase difference between two non-stationary signals and find out epochs of phase locking.

[1]  Thomas P. Krauss,et al.  Signal processing toolbox for use with MATLAB : ユーザーズガイド , 1994 .

[2]  Juergen Kurths,et al.  Synchronization in a population of globally coupled chaotic oscillators , 1996 .

[3]  N. Packard,et al.  Power spectral analysis of a dynamical system , 1980 .

[4]  Michael Schanz,et al.  A theoretical model of sinusoidal forearm tracking with delayed visual feedback , 1995 .

[5]  B. Pompe.  Measuring statistical dependences in a time series , 1993 .

[6]  Tass,et al.  Delay-induced transitions in visually guided movements. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[8]  Mark J. T. Smith,et al.  Introduction to Digital Signal Processing: A Computer Laboratory Textbook , 1991 .

[9]  P. F. Panter.  Modulation, noise, and spectral analysis , 1965 .

[10]  John G. Proakis,et al.  Introduction to Digital Signal Processing , 1988 .

[11]  Michael Feldman,et al.  Non-linear system vibration analysis using Hilbert transform--I. Free vibration analysis method 'Freevib' , 1994 .

[12]  Dennis Gabor,et al.  Theory of communication , 1946 .

[13]  Parlitz,et al.  Experimental observation of phase synchronization. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  J. Kurths,et al.  Phase Synchronization of Chaotic Oscillators by External Driving , 1997 .

[15]  C. K. Yuen,et al.  Theory and Application of Digital Signal Processing , 1978, IEEE Transactions on Systems, Man, and Cybernetics.