Scale invariance of human electroencephalogram signals in sleep.
In this paper, we investigate the dynamical properties of electroencephalogram (EEG) signals of humans in sleep. By using a modified random walk method, we demonstrate that scale-invariance is embedded in EEG signals after a detrending procedure is applied. Furthermore, we study the dynamical evolution of the probability density function (PDF) of the detrended EEG signals by nonextensive statistical modeling. It displays a scale-independent property, which is markedly different from the usual scale-dependent PDF evolution and cannot be described by the Fokker-Planck equation.
Cai
Shi-Min
SM
Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, Anhui, People's Republic of China.
Jiang
Zhao-Hui
ZH
Zhou
Tao
T
Zhou
Pei-Ling
PL
Yang
Hui-Jie
HJ
Wang
Bing-Hong
BH
D001703:Biophysics / Q000379:methods*; D004569:Electroencephalography / Q000379:methods*; D006339:Heart Rate; D006801:Humans; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D017286:Polysomnography; D012016:Reference Values; D012815:Signal Processing, Computer-Assisted; D012890:Sleep; D012894:Sleep Stages; D014851:Wakefulness