Model-independent technique for determining the embedding dimension

Daniel T. Kaplan

doi:10.1117/12.162676

18 November 1993 Model-independent technique for determining the embedding dimension

Daniel T. Kaplan

Proceedings Volume 2038, Chaos in Communications; (1993) https://doi.org/10.1117/12.162676
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The method of lag-embedding, common in the analysis of signals in the context of nonlinear dynamics, requires the selection of an embedding dimension. This embedding dimension is analogous to the model order in a linear prediction model, but the order of a linear prediction model is of little use in characterizing chaotic signals or in indicating an appropriate embedding dimension for nonlinear analysis. Nonlinear prediction models, however, have been successfully used for this purpose. Here, we describe a technique for selecting an appropriate embedding dimension that is motivated by nonlinear prediction, but does not require the specification of the form of a prediction model.

Citation Download Citation

Daniel T. Kaplan "Model-independent technique for determining the embedding dimension", Proc. SPIE 2038, Chaos in Communications, (18 November 1993); https://doi.org/10.1117/12.162676

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