Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields

dc.contributor.authorNicolis, Orietta
dc.contributor.authorMateu, Jorge
dc.contributor.authorContreras-Reyes, Javier E.
dc.date.accessioned2021-10-25T14:35:16Z
dc.date.available2021-10-25T14:35:16Z
dc.date.issued2020-02
dc.description.abstractThe 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.es
dc.description.sponsorshipIndexación: Scopuses
dc.identifier.citationEntropy Open Access Volume 22, Issue 21 February 2020 Article number 196es
dc.identifier.issn10994300
dc.identifier.urihttp://repositorio.unab.cl/xmlui/handle/ria/20613
dc.language.isoenes
dc.publisherMDPI AGes
dc.subjectFractional brownian motion; Rényi entropy; Shannon entropy; Tsallis entropy; Waveletses
dc.titleWavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fieldses
dc.typeArtículoes
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