Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields
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Fecha
2020-02
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
MDPI AG
Nombre de Curso
Licencia CC
Licencia CC
Resumen
The aim of this work was to extend the results of Perez et al. (Physica A (2006), 365 (2), 282-288) to the two-dimensional (2D) fractional Brownian field. In particular, we defined Shannon entropy using the wavelet spectrum from which the Hurst exponent is estimated by the regression of the logarithm of the square coefficients over the levels of resolutions. Using the same methodology. we also defined two other entropies in 2D: Tsallis and the Renyi entropies. A simulation study was performed for showing the ability of the method to characterize 2D (in this case, α = 2) self-similar processes. © 2020 by the authors.
Notas
Palabras clave
Fractional brownian motion; Rényi entropy; Shannon entropy; Tsallis entropy; Wavelets
Citación
Entropy Open Access Volume 22, Issue 21 February 2020 Article number 196