Global EEG segmentation using singular value decomposition

In this paper, we propose a method based on singular value decomposition (SVD) for segmenting multichannel electroencephalography (EEG) data into temporal blocks during which the spatial distributions of the underlying active neuronal generators stay fixed. We locate segment boundaries by statistically comparing the residual error resulting from projecting the data under a reference window, on one hand, and a sliding window, on the other hand, onto a feature subspace. The basis of this subspace is the most significant left eigenvectors of the data block under the reference window. The statistical testing is performed using the Kolmogorov-Smirnov (K-S) test. To enhance the reliability of the K-S test, the consecutive K-S decisions are aggregated under a given decision window. Simulation results confirm that the proposed algorithm can successfully detect segment boundaries under a wide range of different conditions.

[1]  Junwei Han,et al.  Inferring functional interaction and transition patterns via dynamic bayesian variable partition models , 2013, Human brain mapping.

[2]  J Röschke,et al.  EEG analysis with nonlinear deterministic and stochastic methods: a combined strategy. , 2000, Acta neurobiologiae experimentalis.

[3]  L. Wong,et al.  Time-frequency evaluation of segmentation methods for neonatal EEG signals , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[4]  J Gotman,et al.  Automatic EEG analysis during long-term monitoring in the ICU. , 1998, Electroencephalography and clinical neurophysiology.

[5]  Laleh Najafizadeh,et al.  Capturing dynamic patterns of task-based functional connectivity with EEG , 2013, NeuroImage.

[6]  Z. Birnbaum Numerical Tabulation of the Distribution of Kolmogorov's Statistic for Finite Sample Size , 1952 .

[7]  D. Lehmann,et al.  Segmentation of brain electrical activity into microstates: model estimation and validation , 1995, IEEE Transactions on Biomedical Engineering.

[8]  Martin A. Lindquist,et al.  Dynamic connectivity regression: Determining state-related changes in brain connectivity , 2012, NeuroImage.

[9]  R. Aufrichtigl,et al.  Adaptive Segmentation Of EEG Signals , 1991, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991.

[10]  Ali Yener Mutlu,et al.  Subspace analysis for characterizing dynamic functional brain networks , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[11]  G. Bodenstein,et al.  Feature extraction from the electroencephalogram by adaptive segmentation , 1977, Proceedings of the IEEE.

[12]  David A. Leopold,et al.  Dynamic functional connectivity: Promise, issues, and interpretations , 2013, NeuroImage.

[13]  F. Massey The Kolmogorov-Smirnov Test for Goodness of Fit , 1951 .

[14]  Bart Vanrumste,et al.  Review on solving the forward problem in EEG source analysis , 2007, Journal of NeuroEngineering and Rehabilitation.