A non subjective approach to the GP algorithm for analysing noisy time series

Abstract

We present an adaptation of the standard Grassberger-Proccacia (GP) algorithm for estimating the Correlation Dimension of a time series in a non subjective manner. The validity and accuracy of this approach is tested using different types of time series, such as, those from standard chaotic systems, pure white and colored noise and chaotic systems added with noise. The effectiveness of the scheme in analysing noisy time series, particularly those involving colored noise, is investigated. An interesting result we have obtained is that, for the same percentage of noise addition, data with colored noise is more distinguishable from the corresponding surrogates, than data with white noise. As examples for real life applications, analysis of data from an astrophysical X-ray object and human brain EEG, are presented.

Accepted for publication in Physica D. A numerical code which implements the scheme is available at http://www.iucaa.ernet.in/~rmisra/NLD

References in corpus (8)

• Improved surrogate data for nonlinearity tests
• Surrogate time series
• Practical implementation of nonlinear time series methods: The TISEAN package
• Interdisciplinary application of nonlinear time series methods
• Test your surrogate data before you test for nonlinearity
• The chaotic behavior of the black hole system GRS 1915+105
• Estimating the Fractal Dimension, K_2-entropy, and the Predictability of the Atmosphere
• On the Fractal Dimension of the Visible Universe

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