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低信噪比下的状态空间重构 被引量:5

STATE SPACE RECONSTRUCTION AT POOR SIGNAL TO NOISE RATIO
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摘要 针对淹没在噪声中的混沌信号的重构问题,基于动力系统理论和对现有重构方法的研究,提出了一种利用具有最大方差的主元子集重构状态空间的方法.同时论述了重构窗口的问题.利用洛伦兹混沌信号叠加白噪声,通过分析奇异谱和相图。 Abstract For state space reconstruction of the chaotic signals overwhelmed in the noise,based on dynamical systems theory and current methods of reconstruction, we propose a new reconstruction method by using the subset of principal components with the largest variance. We also discuss the reconstruction window. The new approach is verified by analyzing the singular spectra and the phase portraits of the Lorenz′s signal superposed with white noise.
作者 袁坚 肖先赐
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 1997年第7期1290-1299,共10页 Acta Physica Sinica
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  • 1杨志安 王光瑞 陈式刚.计算物理,1995,12:442-442. 被引量:2
  • 2N. H. Packard, J. P. Crutchfield, J. D. Farmer, R. S. Shaw, Geometry from a time series, Phys.Rev. Lett., 1980, 45(9), 712-716. 被引量:1
  • 33. P. Eckmann, D. Ruelle, Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamic systems, Physica D, 1992, 56, 185-189. 被引量:1
  • 4J. Theiler, Spurious dimension from correlation algorithms applied to limited time-series data,Phys. Rev. A, 1986, 34(3), 2427-2432. 被引量:1
  • 5M. T. Rosenstein, J. J. Collins, C. J. D. Luca, A practical method for calculating largest Lyapunov exponents from small data sets, Physica D, 1993, 65, 117-123. 被引量:1
  • 6P. Grassberger, I. Procaccia, Measuring the strangeness attractors, Phys. Rev. Lett., 1983, 50(5),346-349. 被引量:1
  • 7G. Sugihara, R. M. May, Nonlinear forecasting as a way of distinguishing chaos from measure error in time series, Phys. Rev. Lett., 1990, 64(9), 734-741. 被引量:1
  • 8H. Kantz, T. Schreiber, Nonlinear Time Series Analysis, Cambridge, Cambridge University Press,2000, chapter 1. 被引量:1
  • 9F. Takens, Detecting strange attractors in fluid turbulence, 1981, Dynamical Systems and Turbulence, eds., D. Rand, L. S. Young, (Berlin, Springer), 366-381. 被引量:1
  • 10Abarbanel H D I et al .1993. Rev Mod Phys. 65. 1331. 被引量:1

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