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Characterizing Sleep Stages by the Fractal Dimensions of Electroencephalograms

Author

Listed:
  • Sy-Sang Liaw

    (Department of Physics, National Chung Hsing University, Taiwan)

  • Jiann-Yeu Chen

    (Research Center for Sustainable Energy and Nanotechnology, National Chung Hsing University, Taiwan)

Abstract

Fourier analysis has shown that human electroencephalography (EEG) signals mainly consist of frequencies below 80 Hz. Waves with a frequency below 13Hz are dominant during sleep. Here we find that the fractal dimensions of sleep EEG results in a frequency range of 2Hz to 13Hz have potential to be used as a continuous parameter to characterize sleep status. Our results show that during sleep, the fractal dimension is high during REM stage and decreases with subsequent sleep stages according to the standard scheme [1]. The lowest value of the fractal dimension for any subject’s sleep EEG occurs at N3 (deep sleep).

Suggested Citation

  • Sy-Sang Liaw & Jiann-Yeu Chen, 2017. "Characterizing Sleep Stages by the Fractal Dimensions of Electroencephalograms," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 2(2), pages 41-47, July.
    • Handle: RePEc:adp:jbboaj:v:2:y:2017:i:2:p:41-47
    DOI: 10.19080/BBOAJ.2017.02.555584
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    References listed on IDEAS

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    1. Havlin, S & Amaral, L.A.N & Ashkenazy, Y & Goldberger, A.L & Ivanov, P.Ch & Peng, C.-K & Stanley, H.E, 1999. "Application of statistical physics to heartbeat diagnosis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 99-110.
    2. Liaw, Sy-Sang & Chiu, Feng-Yuan, 2009. "Fractal dimensions of time sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3100-3106.
    3. Scafetta, Nicola & Ray, Asok & West, Bruce J., 2006. "Correlation regimes in fluctuations of fatigue crack growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 1-23.
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