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心磁和心电信号的混沌时间序列分析 被引量:3

Chaotic Time Series Analysis of Magntocardiography and Electrocardiography Signals
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摘要 计算了一组心磁和心电检测信号的关联维数和最大李亚普诺夫(Lyapunov)指数.心磁和心电信号的关联维数分别在2.28±0.27和1.12±0.13范围内,最大Lyapunov指数分别在0.68±0.12和0.32±0.04范围内.对其它4组数据中心测点的计算结果也说明心磁和心电信号具有混沌特性.此外,结果显示心磁边缘测点的混沌吸引子与中心部分有明显差别,可用于分析信号的有效检测范围. The correlation dimension (CD) and the maximum Lyapunov exponent (MLE) were explored on the basis of the magntocardiography (MCG) recordings and the synchronous electrocardiography (ECG) signals from an individual patient. The CD appears to vary between MCG and ECG, ranging 2, 28 ± 0.27 and 1.12 ± 0.13, as does the MLE, ranging 0.68 ± 0.12 and 0.32 ± 0.04. The results show that for both the MCG and ECG signals, chaos characteristics exist in the central measurement area in other four patients. The MCG chaotic attractors are different between the central portion and the margin of the chest, allowing valid t areas to be identified.
出处 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第1期108-112,共5页 Journal of Tongji University:Natural Science
基金 国家自然科学基金资助项目(60771030) 上海市科学发展基金资助项目(03ZR14092 054407061)
关键词 心脏磁场 混沌时间序列 关联维 最大LYAPUNOV指数 cardiac magnetic field chaotic time series correlation dimension maximum Lyapunov exponent
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参考文献9

  • 1Goldberger A L, Rigney D R, Mietus J, et al. Nonlinear dynamics in sudden cardiac death syndrome: heartrate oscilations and bifurcation[J]. Experientia, 1988, 44 : 9832987.
  • 2王振洲,李政,魏义祥,林郁正,宁新宝.同步12导联ECG信号的Lyapunov指数谱[J].科学通报,2002,47(19):1469-1472. 被引量:6
  • 3Wikswo J P, Barach J P. Possible sources of new information in the magnetocardiogram[J]. Theory Biol, 1982, 95:721.
  • 4Zhang Y, Panaitov G, Wang S G, et al. Second-order, hightemperature superconducting gradiometer for magnetocardiography in unshielded environment [ J ]. Applied Physics Letters, 2000,76(7): 906.
  • 5Takens F. Detecting strange attractors in turbulence[J]. Lect Notes in Math, 1981,898 : 366.
  • 6Cao L. Practical method for determining the minimtma embedding dimension of a scalar time series[J]. Physeai D, 1997,110:43.
  • 7Grassberger P, Procaecia I, Characterization of strange attractors[J]. Phys Rev Lett, 1983 50:346.
  • 8Wolf Alan, Swig J B, Swinney H L, et al. Determining lyapunov exponents from a time series[J]. Physica D, 1985, 16: 285.
  • 9Sato S, Sano M, Sawada Y. Practical methods of measuring the generalized dimension and largest Lyapunov exponent in high dimensional chaotic systems[J]. Prng Theory Phys, 1987,77:1.

二级参考文献11

  • 1Babloyantz A, Destexhe A. Is the normal heart a periodic oscillator? Biological Cybernetics, 1988, 58: 203
  • 2Special report: Heart rate variability-standards of measurement, physiologicalinterpretation, and clinical use by task force of the European society of cardiology and the north American society of pacing and electrophysiology. Circulation, 1996, 93(5): 1043~ 1065
  • 3Packard N H, Crutchfield J P, Farmer J D, et al. Geometry from a time series. Phys Rev Lett, 1980, 45: 712
  • 4Takens F. Detecting strange attractors in turbulence, in dynamical systems andturbulence. In: Randand D, Young L S, eds. Lecture Notes in Mathematics, Vol 898. Berlin: Springer-Verlag, 1981. 366
  • 5Mane R. On the dimension of the compact in variant set of certain non-linear maps, in dynamical systems and turbulence. In: Rand D A, Young L S, eds. Lecture Notes in Mathematics, Vol 898. Berlin: Springer-Verlag, 1981. 320
  • 6Wolf A, Swift J B, Swinney H L, et al. Determining Lyapunov exponents from a time series. Physica D, 1985, 16: 285~317
  • 7Eckmann J P, Kamphorst S O. Lyapunov exponents from time series. Physical Review A, 1986, 34: 4971~4979
  • 8Ramasubramanian K, Sriram M S. A comparative study of computation of Lyapunov spectra with different algorithms. Physica D, 2000, 139: 72~86
  • 9Deering W, West B J. Fractal physiology. IEEE Eng Med Bio, 1992, 6: 40
  • 10Goldberger A L. Fractal mechanisms in the electrophysiology of the heart. IEEE Eng Med Bio, 1992, 6: 47

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