"Smoothness" in embedded time series

Liming W. Salvino; Robert G. Cawley

doi:10.1117/12.162678

18 November 1993 "Smoothness" in embedded time series

Liming W. Salvino, Robert G. Cawley

Proceedings Volume 2038, Chaos in Communications; (1993) https://doi.org/10.1117/12.162678
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

We describe a new approach to discriminating between `smoothness' and randomness in a time series. The method, which is applicable to both map and flow data, exploits an arbitrariness in the choice of vector field for computation of a statistic forming the basis of the test. Our approach mitigates uncertainties due to finite numerics in the statistics of previous work. We examine some of the examples chosen to illustrate a variety of effects that can occur in the implementation of this test.

Citation Download Citation

Liming W. Salvino and Robert G. Cawley ""Smoothness" in embedded time series", Proc. SPIE 2038, Chaos in Communications, (18 November 1993); https://doi.org/10.1117/12.162678

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