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Phys. Rev. E 65, 041903 (2002) [14 pages]

Performance of different synchronization measures in real data: A case study on electroencephalographic signals

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R. Quian Quiroga1,*, A. Kraskov1, T. Kreuz1,2, and P. Grassberger1
1John von Neumann Institute for Computing, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
2Department of Epileptology, University of Bonn, Sigmund-Freud Strasse 25, D-53105 Bonn, Germany

Received 18 September 2001; published 15 March 2002

We study the synchronization between left and right hemisphere rat electroencephalographic (EEG) channels by using various synchronization measures, namely nonlinear interdependences, phase synchronizations, mutual information, cross correlation, and the coherence function. In passing we show a close relation between two recently proposed phase synchronization measures and we extend the definition of one of them. In three typical examples we observe that except mutual information, all these measures give a useful quantification that is hard to be guessed beforehand from the raw data. Despite their differences, results are qualitatively the same. Therefore, we claim that the applied measures are valuable for the study of synchronization in real data. Moreover, in the particular case of EEG signals their use as complementary variables could be of clinical relevance.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.041903
DOI:
10.1103/PhysRevE.65.041903
PACS:
87.19.Nn, 05.45.Tp, 87.90.+y, 05.45.Xt

*Corresponding author. Email address: rodri@vis.caltech.edu

See Also

Comment: R. B. Duckrow and A. M. Albano, Comment on “Performance of different synchronization measures in real data: A case study on electroencephalographic signals”, Phys. Rev. E 67, 063901 (2003).

Reply: R. Quian Quiroga, A. Kraskov, T. Kreuz, and P. Grassberger, Reply to “Comment on ‘Performance of different synchronization measures in real data: A case study on electroencephalographic signals’ ”, Phys. Rev. E 67, 063902 (2003).