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Volume 23 Issue 3
Mar.  2001
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Lei Min, Wang Zhizhong . Study of the Surrogate Data Method for Nonlinearity of Time Series[J]. Journal of Electronics & Information Technology, 2001, 23(3): 248-254.
Citation: Lei Min, Wang Zhizhong . Study of the Surrogate Data Method for Nonlinearity of Time Series[J]. Journal of Electronics & Information Technology, 2001, 23(3): 248-254.

Study of the Surrogate Data Method for Nonlinearity of Time Series

  • Received Date: 1999-05-09
  • Rev Recd Date: 1999-11-15
  • Publish Date: 2001-03-19
  • Currently, the surrogate data method has become a widely used method in testing nonlinearity of time series. However, for the null hypothesis of linearly autocorrelated Gaussian noise with the mean and variance of the raw data, the exiting FT algorithms of generating surrogate data can not reproduce pure frequencies very well. In this paper, the surrogate data method is studied and an improved FT algorithms is proposed. Using the proposed algorithm, the surrogate data sets have the same mean, variance and Fourier spectrum with the original data. This FT algorithm is compared to the previous and proved feasible by using Guass series and chaos time series of the logistic system.
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  • K. Vibe, J. M. Vesin, On chaos detection methods, International Journal of Bifurcation and Chaos, 1996, 6(3), 529-543.[2]J. Theiler, S. Eubank, A. Longtin, et al., Testing for nonlinearity in time series, the method of surrogate data.[J]. Physica D.1992,58:77-[3]C. Poon, C. K. Merrill, Decrease of cardiac chaos in congestive heart failure, Nature, 1997,389(10), 492-495.[4]M. Barahona, C. Poon, Detection of nonlinear dynamics in short, noisy time series, Nature, 1996,381(5), 215-217.[5]U. Parlitz, L. Kocarev, Using surrogate data analysis for unmasking chaotic communication systems, International Journal of Bifurcation and Chaos, 1997, 7(2), 407-413.[6]D. Prichard, J. Theiler, Generating surrogate data for time series with several simultaneously measured variables, Phys. Rev. Lett., 1994, 73(7), 951-954.[7]J. Theiler, D. Prichard, Constrained-realization Monte-Carlo method for hypothesis testing.[J]. Physica D.1996,94:221-[8]T. Schreiber, A. Schmitz, Improved surrogate data for nonlinearity tests, Phys. Rev. Lett., 1996,77(4), 635-638.[9]J.A. Scheinkman, B. Lebaron, Nonlinear dynamics and stock returns, Journal of Business, 1989,62(3), 311-337.[10]J.L. Breeden, N. H. Packard, Nonlinear analysis of data sampled nonuniformly in time.[J]. Physica D.1992,58:273-[11]M. Small, K. Judd, Detecting nonlinearity in experimental data, International Journal of Bifurcation and Chaos, 1998, 8(6), 1231-1244.
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