Nolte, G, Sander, T, Lueschow, A and Pearlmutter, Barak A. (2002) Nonlinear time series analysis of human alpha rhythm. In: Proceedings of the 13th International Conference on Biomagnetism, August 10-14, 2002, Jena, Germany.
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Official URL: http://biomag2002.uni-jena.de/
Abstract
Nonlinearity is often deduced by showing that a dataset signi£cantly deviates from its phase randomized versions, i.e. surrogate data. For real data, however, non-stationarities like artifacts and onsets and offsets of rhythmic activity will cause false positives. We propose a new test which detects dynamical nonlinearity by measuring time-asymmetry, using surrogate data merely to estimate the standard deviation of the process.
The method is applied to multi-channel MEG measurements of ongoing alpha-band activity modulated by a simple visual
memory task involving motor activity. The signal to noise ratio was enhanced using ICA, and the analysis was performed
on a single separated source. We found that, if the peak at 10 Hz is accompanied by a substantial higher harmonic, time
asymmetry can be detected signifcantly in virtually any epoch of 3 second duration. Finally, we applied our recently proposed method to estimate correlation dimension for noisy data. We found very satisfactory scaling plots with dimension around 1.5. As a byproduct, we showed that the nondeterministic fraction can be explained almost completely by external noise.
Item Type: | Conference or Workshop Item (Paper) |
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Keywords: | Non-linearity; Detecting nonlinearity; Noise. |
Academic Unit: | Faculty of Science and Engineering > Computer Science |
Item ID: | 1420 |
Depositing User: | Barak Pearlmutter |
Date Deposited: | 02 Jun 2009 15:13 |
Refereed: | Yes |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/1420 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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