Noise reduction in dynamical systems

Details Noise reduction in dynamical systems Noise reduction in dynamical systems

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrva..38.1649k&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 38, Aug. 1, 1988, p. 1649-1652. DOE-USAF-DARPA-supported

Statistics

Computation

65

Couette Flow, Dynamical Systems, Noise Reduction, Power Spectra, Transition Flow, Turbulent Flow, Computational Fluid Dynamics, Fluid Flow, Least Squares Method

Scientific paper

A method is described for reducing noise levels in certain experimental time series. An attractor is reconstructed from the data using the time-delay embedding method. The method produces a new, slightly altered time series which is more consistent with the dynamics on the corresponding phase-space attractor. Numerical experiments with the two-dimensional Ikeda laser map and power spectra from weakly turbulent Couette-Taylor flow suggest that the method can reduce noise levels up to a factor of 10.

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