4.5 Article

Symbolic analysis of high-dimensional time series

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 13, Issue 9, Pages 2657-2668

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127403008168

Keywords

Time series analysis; EEG analysis; symbolic dynamics; entropy; contingency; correspondence analysis

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In order to extract and to visualize qualitative information from a high-dimensional time series, we apply ideas from symbolic dynamics. Counting certain ordinal patterns in the given series, we obtain a series of matrices whose entries are symbol frequencies. This matrix series is explored by simple methods from nominal statistics and information theory. The method is applied to detect and visualize qualitative changes of EEG data related to epileptic activity.

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