Reducing colored noise for chaotic time series in the local phase space

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4824

Title:	Reducing colored noise for chaotic time series in the local phase space
Authors:	Sun, J Zhao, Y Luo, X Small, M
Issue Date:	17-Aug-2007
Source:	Physical review. E, Statistical, nonlinear, and soft matter physics, Aug. 2007, v. 76, no. 2, 026211, p. 1-6
Abstract:	A two step method is proposed to reduce colored noise for chaotic data in the local phase space. With the observation that the energy of colored noise is mainly distributed in a low dimensional subspace, a noise dominated subspace is first estimated by the energy distribution of colored noise. At step 1, for the reference phase point, the components projected into the noise dominated subspace are deleted and the enhanced data are reconstructed with the remaining components. The residual error of the output of step 1 tends to distribute on each direction uniformly. So at step 2, the local projection method is further applied to the output of step 1, treating the residual error as white noise. Experiments show that our method performs well in eliminating colored noise for chaotic data.
Keywords:	Data reduction Error analysis Time series analysis
Publisher:	American Physical Society
Journal:	Physical review. E, Statistical, nonlinear, and soft matter physics
ISSN:	1539-3755
EISSN:	1550-2376
DOI:	10.1103/PhysRevE.76.026211
Rights:	Physical Review E © 2007 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
Appears in Collections:	Journal/Magazine Article

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