Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian FieldsFecha de publicación
2020-02-07Editor
MDPICita bibliográfica
NICOLIS, Orietta; MATEU, Jorge; CONTRERAS-REYES, Javier (2020). Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields. Entropy, v. 22,isuue 2, art. 196Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.mdpi.com/1099-4300/22/2/196Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
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 ... [+]
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 Rényi entropies. A simulation study was performed for showing the ability of the method to characterize 2D (in this case, α = 2) self-similar processes. [-]
Publicado en
Entropy (2020), v. 22, issue 2Proyecto de investigación
1) DI-03-19/R grant of the Andres Bello University (Chile); 2) Universitat Jaume I through grant UJI-B2018-04; 3) Ministery of Science through grant MTM2016-78917-R; 4) FONDECYT (Chile) grant no. 11190116.Derechos de acceso
info:eu-repo/semantics/openAccess
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