title: Scale invariance of human electroencephalogram signals in sleep.
abstract: 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.
authors.affiliation: Department of Electronic Science and Technology, University of Science and Technology of China, Hefei, Anhui, People's Republic of China.
authors.forename: Shi-Min
authors.initials: SM
authors.lastname: Cai
authors.forename: Zhao-Hui
authors.initials: ZH
authors.lastname: Jiang
authors.forename: Tao
authors.initials: T
authors.lastname: Zhou
authors.forename: Pei-Ling
authors.initials: PL
authors.lastname: Zhou
authors.forename: Hui-Jie
authors.initials: HJ
authors.lastname: Yang
authors.forename: Bing-Hong
authors.initials: BH
authors.lastname: Wang
mesh_terms: 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