Skip to main content
Log in

A comparative stationarity analysis of EEG signals

  • S.I.: OR in Neuroscience
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

While developing models of brain functioning by using time series data, the stationary interval of the time series should be used to model the corresponding state of the brain. Here it is assumed that at the borders of stationarity, brain changes its state where a state is considered as a group of brain regions working together. If the whole nonstationary time series is used, many different brain states could be included in one model. However, it is very hard to decide the stationary intervals for such a complicated system as brain. There are some methods, which have proved their performances based on manually constructed synthetic data, in the literature. Only very few results with EEG data have been presented. But, there is usually no ground truth accompanying the data to make an evaluation. In this study, suitable approaches for stationary analysis were applied on visual evoked potentials (VEP) where we can approximately know the possible stationary intervals due to the properties of the experiment during which the data was recorded. Experts designed the experiment and marked the possible borders of the intervals carefully. Parameters of the methods were set automatically. We compared the manually marked intervals with the intervals detected automatically by the applied methods and evaluated the methods in terms of their performances of estimating the stationary intervals of EEG signals.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  • Anisheh, S. M., & Hassanpour, H. (2009). Adaptive segmentation with optimal window length scheme using fractal dimension and wavelet transform. System (Stationarity), 1(4), 5.

    Google Scholar 

  • A.U. BAP. (2012). Developmental dyslexia: Defining the relations between linguistics and EEG data. Ankara University BAP project no: 10B3030001, 2009–2013.

  • Azami, H., Bozorgtabar, B., & Shiroie, M. (2011). Automatic signal segmentation using the fractal dimension and weighted moving average filter. International Journal of Electrical & Computer Sciences, 11(6), 8–15.

    Google Scholar 

  • Azami, H., Saeid, S., & Karim, M. (2011). A novel signal segmentation method based on standard deviation and variable threshold. Journal of Computer Applications, 34(2), 27–34.

    Google Scholar 

  • Azami, H., Karim, M., & Behzad, B. (2012a). An improved signal segmentation using moving average and Savitzky-Golay filter. Journal of Signal and Information Processing, 3(1), 39–44.

    Article  Google Scholar 

  • Azami, H., Khosravi, A., Malekzadeh, M., & Sanei, S. (2012b). A new adaptive signal segmentation approach based on Hiaguchi’s fractal dimension. In D.-S. Huang, P. Gupta, X. Zhang & P. Premaratne (Eds.), Emerging intelligent computing technology and applications. 8th International Conference, ICIC 2012 (July 25–29). Huangshan, China.

  • Azami, H., Sanei, S., Mohammadi, K., & Hassapour, H. (2013). A hybrid evolutionary approach to segmentation of nonstationary signals. Digital Signal Processing, 23(4), 1103–1114.

    Article  Google Scholar 

  • Azami, H., Hassapour, H., Escudero, J., & Sanei, S. (2014). An intelligent approach for variable size segmentation of nonstationary signals. Journal of Advanced Research, 6(5), 687–698.

    Article  Google Scholar 

  • Azarbad, M., Azami, H., Sanei, S., & Ebrahimzadeh, A. (2014). A time–frequency approach for EEG signal segmentation. Journal of AI and Data Mining, 2(1), 63–71.

    Google Scholar 

  • Chin-Feng, L., & Zhu, J. D. (2011). HHT-based time–frequency analysis method for biomedical signal applications. Recent Advances in Circuits, Systems, Signal and Telecommunications, 5(5), 65–68.

    Google Scholar 

  • Daugman, D. G. (1985). Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters. Journal of the Optical Society of America A, 2(7), 1160–1169.

    Article  Google Scholar 

  • Di Russo, F., Pitzalis, S., Spitoni, G., Aprile, T., Patria, F., Spinelli, D., et al. (2005). Identification of the neural sources of the pattern-reversal VEP. NeuroImage, 24, 874–886.

    Article  Google Scholar 

  • Ducati, A., Fava, E., & Motti, E. D. F. (1988). Neuronal generators of the visual evoked potentials: Intracerebral recording in awake humans. Electroencephalography and Clinical Neurophysiology, 71, 89–99.

    Article  Google Scholar 

  • Esteller, R., Vachtsevanos, G., Echauz, J., & Lilt, B. (1999). A comparison of fractal dimension algorithms using synthetic and experimental data. In ISCAS’99. Proceedings of the 1999 IEEE international symposium on circuits and system (vol. 3).

  • Handy, T. C. (Ed.). (2004). Event-related potentials: A methods handbook (1st ed.). Cambridge, MA: MIT Press.

  • Hassani, H. (2007). Singular spectrum analysis: Methodology and comparison. Journal of Data Science, 5(2), 239–257.

    Google Scholar 

  • Healy, J. F. (2009). The essentials of statistics: A tool for social research (Vol. 2). Belmont, CA: Cengage Learning.

    Google Scholar 

  • Higuchi, T. (1988). Approach to an irregular time series on the basis of the fractal theory. Physica D: Nonlinear Phenomena, 31(2), 277–283.

    Article  Google Scholar 

  • Huang, N. E., Shen, Z., Long, S. R., Wu, M. L., Shih, H. H., Zheng, Q., et al. (1998). The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis. Proceedings of the Royal Society of London A, 454, 903–995.

    Article  Google Scholar 

  • Jun, L., Li, X., & Li, T. (2007). Web-based application for traffic anomaly detection algorithm. In Second international conference on Internet and web applications and services, 2007. ICIW’07. IEEE.

  • Karel, K., Lhotska, L., & Krajca, V. (2004). Classification of long-term EEG recordings. In J. María Barreiro, F. Martín-Sánchez, V. Maojo & F. Sanz (Eds.), Biological and medical data analysis. Lecture notes in computer science (Vol. 3337, pp. 322–332). Springer, Berlin.

  • Katz, M. J. (1988). Fractals and the analysis of waveforms. Computers in Biology and Medicine, 18(3), 145–156.

    Article  Google Scholar 

  • Kirlangic, M. E., Perez, D., Kudryavtseva, S., Griessbach, G., et al. (2001). Fractal dimension as a feature for adaptive electroencephalogram segmentation in epilepsy. In Proceedings of the 23rd annual international conference of the IEEE Engineering in Medicine and Biology Society (vol. 2).

  • Li, X., Li, D., Liang, Z., Voss, L. J., & Sleigh, J. W. (2008). Analysis of depth of anesthesia with Hilbert-Huang spectral entropy. Clinical Neurophysiology, 119(11), 2465–2475.

    Article  Google Scholar 

  • Li, Y., Yingle, F., Gu, L., & Qinye, T. (2009). Sleep stage classification based on EEG Hilbert–Huang transform. In ICIEA 2009.

  • Mihaylova, M., Stomonyakov, V., & Vassilev, A. (1999). Peripheral and central delay in processing high spatial frequencies: Reaction time and VEP latency studies. Vision Research, 39, 699–705.

    Article  Google Scholar 

  • Nalcaci, E., Basar-Eroglu, C., & Stadler, M. (1999). Visual evoked potential inter-hemispheric transfer time in different frequency bands. Clinical Neurophysiology, 110, 71–81.

    Article  Google Scholar 

  • Oweis, R. J., & Abdulhay, E. W. (2011). Seizure classification in EEG signals utilizing Hilbert–Huang transform. Biomedical Engineering OnLine, 10, 38.

    Article  Google Scholar 

  • Pachori, R. B., & Bajaj, V. (2011). Analysis of normal and epileptic seizure EEG signals using empirical mode decomposition. Computer Methods and Programs in Biomedicine, 104, 373–381.

    Article  Google Scholar 

  • Pennsylvania State University. (2015) STAT 510—Applied time series analysis lecture notes (online courses). https://onlinecourses.science.psu.edu/stat510/node/4.

  • Petrosian, A. (1995). Kolmogorov complexity of finite sequences and recognition of different preictal EEG patterns. In Proceedings of the eighth IEEE symposium on computer-based medical systems.

  • Raghavendra, B. S., & Dutt, N. D. (2009). A note on fractal dimensions of biomedical waveforms. Computers in Biology and Medicine, 39(11), 1006–1012.

    Article  Google Scholar 

  • Rato, R. T., Ortiguira, M. D., & Batista, A. G. (2008). On the HHT, its problems, and some solutions. Mechanical Systems and Signal Processing, 22, 1374–1394.

    Article  Google Scholar 

  • Schenk-Hoppé, K. R. (2002). Sample-path stability of nonstationary dynamic economic systems. Annals of Operations Research, 114(1), 263–280.

    Article  Google Scholar 

  • Singer, W. (1993). Synchronization of cortical activity and its putative role in information processing and learning. Annual Review of Physiology, 55, 349–374.

    Article  Google Scholar 

  • Ulusoy, I., Halici, U., Nalcacı, E., Anac, I., Leblebicioglu, K., & Basar-Eroglu, C. (2004). Time–frequency analysis of visual evoked potentials for interhemispheric transfer time and proportion in callosal fibers of different diameters. Biological Cybernetics, 90, 291–301.

    Article  Google Scholar 

  • Wang, D., Vogt, R., Mason, M., & Sridharan, S. (2008). Automatic audio segmentation using the generalized likelihood ratio. In 2nd International conference on signal processing and communication systems, ICSPCS 2008.

  • Wong, K. F., Galka, A., Yamashita, O., & Ozaki, T. (2006). Modelling nonstationary variance in EEG time series by state space GARCH model. Computers in Biology and Medicine, 36(12), 1327–1335.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Ulusoy.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rasoulzadeh, V., Erkus, E.C., Yogurt, T.A. et al. A comparative stationarity analysis of EEG signals. Ann Oper Res 258, 133–157 (2017). https://doi.org/10.1007/s10479-016-2187-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-016-2187-3

Keywords

Navigation