A new measure to characterize multifractality of sleep electroencephalogram  

作　　者：MA Qianli NING Xinbao WANG Jun BIAN Chunhua 

机构地区：[1]State Key Laboratory of Modern Acoustics, Department of Electronics Science and Engineering, Institute for Biomedical Electronic Engineering, Nanjing University, Nanjing 210093, China [2]Province Key Laboratory of Image Processing & Image Communication, College of Telecommunications and Information Engineering, Nanjing University of Posts & Telecommunications, Nanjing 210003, China

出　　处：《Chinese Science Bulletin》2006年第24期3059-3064,共6页

基　　金：Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 60501003）.

摘　　要：Traditional methods for nonlinear dy-namic analysis,such as correlation dimension,Lyapunov exponent,approximate entropy,detrended fluctuation analysis,using a single parameter,cannot fully describe the extremely sophisticated behavior of electroencephalogram (EEG). The multifractal for-malism reveals more “hidden” information of EEG by using singularity spectrum to characterize its nonlin-ear dynamics. In this paper,the zero-crossing time intervals of sleep EEG were studied using multifractal analysis. A new multifractal measure Δasα was pro-posed to describe the asymmetry of singularity spec-trum,and compared with the singularity strength range Δα that was normally used as a degree indi-cator of multifractality. One-way analysis of variance and multiple comparison tests showed that the new measure we proposed gave better discrimination of sleep stages,especially in the discrimination be-tween sleep and awake,and between sleep stages 3 and 4.Traditional methods for nonlinear dynamic analysis, such as correlation dimension, Lyapunov exponent, approximate entropy, detrended fluctuation analysis, using a single parameter, cannot fully describe the extremely sophisticated behavior of electroencephalogram （EEG）. The multifractal formalism reveals more ＂hidden＂ information of EEG by using singularity spectrum to characterize its nor）linear dynamics. In this paper, the zero-crossing time intervals of sleep EEG were studied using multifractal analysis. A new multifractal measure △asα was proposed to describe the asymmetry of singularity spectrum, and compared with the singularity strength range △α that was normally used as a degree indicator of multifractality. One-way analysis of variance and multiple comparison tests showed that the new measure we proposed gave better discrimination of sleep stages, especially in the discrimination between sleep and awake, and between sleep stages 3 and 4.

关 键 词：睡眠 脑电图 EEG 奇异谱 多分形体 

分 类 号：R338.8[医药卫生—人体生理学] R741.044[医药卫生—基础医学]