Spectral decay vs. correlation dimension of EEG

Neurocomputing

Volumn 71, Issue 13-15, 2008, Pages 2978-2985

  Krakovská, Anna ^a   Stole Jr , Svorad ^a  

^a INSTITUTE OF MEASUREMENT SCIENCE   (Slovakia)

Author keywords

Correlation dimension; EEG; Power law decay; Relaxation; Spectral decay

Indexed keywords

ELECTROENCEPHALOGRAPHY;

CORRELATION DIMENSION ESTIMATION; CORRELATION DIMENSIONS; ELECTRO-ENCEPHALOGRAM (EEG); EXPERIMENTAL APPLICATION; HIGHLY-CORRELATED; POWER LAW DECAY; RELAXATION; SPECTRAL DECAY;

DECAY (ORGANIC);

ADULT; ARTICLE; CORRELATION COEFFICIENT; ELECTROENCEPHALOGRAM; FEMALE; HUMAN; HUMAN EXPERIMENT; INFORMATION PROCESSING; MALE; POWER ANALYSIS; PRIORITY JOURNAL; SIGNAL PROCESSING; SPECTRUM; STATISTICAL ANALYSIS; WAKEFULNESS;

EID: 56449106659     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2007.06.007     Document Type: Article

References (21)

1. A. Babloyantz, J.M. Salazar, C. Nicolis, Evidence of chaotic dynamics of brain activity during the sleep cycle, Phys. Lett. A 111 (1985) 152-156.
2. A. Corana, G. Bortolan, A. Casaleggio, Most probable dimension value and most flat interval methods for automatic estimation of dimension from time series, Chaos Solitons Fractals 20 (2004) 779-790.
3. A. Galka, Topics in nonlinear time series analysis, with implications for EEG analysis, in: Advanced Series in Nonlinear Dynamics, vol. 14, World Scientific, Singapore, 2000.
4. P. Grassberger, I. Procaccia, Measuring the strangeness of strange attractors, Physica D 9 (1983) 189-208.
5. H. Kantz, T. Schreiber, Nonlinear Time Series Analysis, Cambridge Nonlinear Science Series, Cambridge University Press, New York, 1997, 304pp.
6. T. Kobayashi, S. Madokoro, T. Ota, H. Ihara, Y. Umezawa, J. Murayama, H. Kosaka, K. Misaki, H. Nakagawa, Analysis of the human sleep electroencephalogram by the correlation dimension, Psychiatr. Clin. Neurosci. 54 (2000) 278-279.
7. A. Krakovska, Correlation dimension underestimation, Acta Phys. Slovaca 45 (1995) 567-574.
8. M. Le Van Quyen, M. Chavez, D. Rudrauf, J. Martinerie, Exploring the nonlinear dynamics of the brain, J. Physiol. Paris 97 (2003) 629-639.
9. K. Linkenkaer-Hansen, V.V. Nikouline, J.M. Palva, R.J. Ilmoniemi, Long-range temporal correlations and scaling behavior in human brain oscillations, J. Neurosc. 21 (2001) 1370-1377.
10. R. Moddemeijer, On estimation of entropy and mutual information of continuous distributions, Signal Process. 16 (1989) 233-246.
11. A.R. Osborne, A. Provenzale, Finite correlation dimension for stochastic systems with power-law spectra, Physica D 35 (1989) 357-381.
12. E. Pereda, A. Gamundi, R. Rial, J. Gonzalez, Non-linear behaviour of human EEG: Fractal exponent versus correlation dimension in awake and sleep stages, Neurosci. Lett. 250 (1998) 91-94.
13. Y. Shen, E. Olbrich, P. Achermann, P.F. Meier, Dimensional complexity and spectral properties of the human sleep EEG, Clin. Neurophysiol. 114 (2003) 199-209.
14. D.E. Sigeti, Survival of deterministic dynamics in the presence of noise and the exponential decay of power spectra at high frequency, Phys. Rev. E 52 (1995) 2443-2457.
15. D. Sigeti, W. Horsthemke, High-frequency power spectra for systems subject to noise, Phys. Rev. A 35 (1987) 2276-2282.
16. L.A. Smith, Intrinsic limits on dimension calculations, Phy. Lett. A 133 (1988) 283-288.
17. F. Takens, Detecting strange attractors in fluid turbulence, in: D. Rand, L.S. Young (Eds.), Lecture Notes in Mathematics, Dynamical Systems and Turbulence, Springer, Berlin, 1981, pp. 366-381.
18. J. Theiler, Spurious dimension from correlation algorithms applied to limited time-series data, Phys. Rev. A 34 (1986) 2427-2432.
19. α noise, Phys. Lett. A 155 (1991) 480-493.
20. J. Theiler, P. Rapp, Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram, Electroencephalogr. Clin. Neurophysiol. 98 (1996) 213-222.
21. P.A. Watters, F. Martin, A method for estimating long-range power law correlations from the electroencephalogram, Biol. Psychol. 66 (2004) 79-89.