Using the outputs of the Poisson filter chain to reconstruct attractors

Jose C. Principe; Jyh-Ming Kuo

doi:10.1117/12.167513

1 March 1994 Using the outputs of the Poisson filter chain to reconstruct attractors

Jose C. Principe, Jyh-Ming Kuo

Proceedings Volume 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization; (1994) https://doi.org/10.1117/12.167513
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The first step towards the measurement of dynamical invariants is to reconstruct an attractor from the output of a system. In this paper, we propose a new method for the reconstruction. The elements of the construction vector are the Poisson moment functionals of the signal. Our experimental results show that the reconstructed attractor can preserve the dimension measure even in the situation when the signal is noisy.

Citation Download Citation

Jose C. Principe and Jyh-Ming Kuo "Using the outputs of the Poisson filter chain to reconstruct attractors", Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); https://doi.org/10.1117/12.167513

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