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Electroencephalogram (EEG) shows long-range power-law and multifractal scaling behaviors, which varies with physiological and pathological conditions. In the present paper, the scaling behavior of sleep EEG is studied using monofractal detrended fluctuation analysis (DFA) and multifractal singularity spectrum. It is found that, the DFA scaling exponent α is more sensitive to the differences between EEG derivations and subject groups, but irregular with sleep stages. However, the variation of multifractal singularity strength range Δα with sleep stages is more regular, it increases constantly from sleep stage Ⅰ to stage Ⅳ, showing less difference between EEG derivations and subject groups. Thus, it is suggested that multifractal parameter Δα is more suitable than monofractal scaling exponent α to be used as a quantitative parameter for sleep staging.
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Keywords:
- scaling analysis /
- multifractality /
- electroencephalogram /
- sleep staging
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[2] Xie Y, Xu J X, Yang H J, Hu S J 2002 Acta Phys. Sin. 51 205 (in Chinese) [谢 勇、徐建学、杨红军、胡三觉 2002 物理学报 51 205]
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[5] Ning Y, Jiang C H, An B, Feng H Q 2007 J. Biomed. Eng. 24 249 (in Chinese) [宁 艳、江朝晖、安 滨、冯焕清 2007 生物医学工程学杂志 24 249]
[6] Wang W, Ning X B, Wang J, Zhang S, Chen J, Li L J 2003 Chin. Sci. Bull. 48 1700
[7] Ma Q L, Ning X B, Wang J, Bian C H 2006 Chin. Sci. Bull. 51 3059
[8] Chhabra A B, Meneveau C, Jensen R V, Sreenivasan K R 1989 Phys. Rev. A 40 5284
[9] Stanley H E, Amaral L A N, Goldberger A L, Havlin S, Ivanov P Ch, Peng CK 1999 Physica A 270 309
[10] Sun X, Wu Z Q 2001 Acta Phys. Sin. 50 2126 (in Chinese) [孙 霞、吴自勤 2001 物理学报 50 2126]
[11] Peng CK, Buldyrev S, Goldberger A L, Havlin S 1992 Nature 356 168
[12] Ivanov P Ch, Ma Q, Bartsch R P, Hausdorff J M, Amaral L A N, Schulte-Frohlinde V, Stanley H E, Yoneyama M 2009 Phys. Rev. E 79 041920
[13] Wang J, Ning X B, Ma Q L 2005 Phys. Rev. E 71 062902
[14] Deng Y, Shi W K, Liu Q 2002 Acta Phys. Sin. 51 759 (in Chinese) [邓 勇、施文康、刘 琪 2002 物理学报 51 759]
[15] Yu Z G, Vo A, Gong Z M, Long S C 2002 Chin. Phys. 11 1313
[16] Goldberger A L, Amaral L A N, Glass L, Hausdorff J M, Ivanov P Ch, Mark R G, Mietus J E, Moody G B, Peng CK, Stanley H E 2000 Circulation 101 e215
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[1] Stam C J 2005 Clin. Neurophysiol. 116 2266
[2] Xie Y, Xu J X, Yang H J, Hu S J 2002 Acta Phys. Sin. 51 205 (in Chinese) [谢 勇、徐建学、杨红军、胡三觉 2002 物理学报 51 205]
[3] Watters P A 1998 Complex. Int. 5 117
[4] Hwa R C, Ferree T C 2002 Phys. Rev. E 66 021901
[5] Ning Y, Jiang C H, An B, Feng H Q 2007 J. Biomed. Eng. 24 249 (in Chinese) [宁 艳、江朝晖、安 滨、冯焕清 2007 生物医学工程学杂志 24 249]
[6] Wang W, Ning X B, Wang J, Zhang S, Chen J, Li L J 2003 Chin. Sci. Bull. 48 1700
[7] Ma Q L, Ning X B, Wang J, Bian C H 2006 Chin. Sci. Bull. 51 3059
[8] Chhabra A B, Meneveau C, Jensen R V, Sreenivasan K R 1989 Phys. Rev. A 40 5284
[9] Stanley H E, Amaral L A N, Goldberger A L, Havlin S, Ivanov P Ch, Peng CK 1999 Physica A 270 309
[10] Sun X, Wu Z Q 2001 Acta Phys. Sin. 50 2126 (in Chinese) [孙 霞、吴自勤 2001 物理学报 50 2126]
[11] Peng CK, Buldyrev S, Goldberger A L, Havlin S 1992 Nature 356 168
[12] Ivanov P Ch, Ma Q, Bartsch R P, Hausdorff J M, Amaral L A N, Schulte-Frohlinde V, Stanley H E, Yoneyama M 2009 Phys. Rev. E 79 041920
[13] Wang J, Ning X B, Ma Q L 2005 Phys. Rev. E 71 062902
[14] Deng Y, Shi W K, Liu Q 2002 Acta Phys. Sin. 51 759 (in Chinese) [邓 勇、施文康、刘 琪 2002 物理学报 51 759]
[15] Yu Z G, Vo A, Gong Z M, Long S C 2002 Chin. Phys. 11 1313
[16] Goldberger A L, Amaral L A N, Glass L, Hausdorff J M, Ivanov P Ch, Mark R G, Mietus J E, Moody G B, Peng CK, Stanley H E 2000 Circulation 101 e215
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