Wavelet entropy of stochastic processes

We compare two different definitions for the wavelet entropy associated to stochastic processes. The first one, the normalized total wavelet entropy (NTWS) family [S. Blanco, A. Figliola, R.Q. Quiroga, O.A. Rosso, E. Serrano, Time–frequency analysis of electroencephalogram series, III. Wavelet packe...

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Autores principales: Zunino, Luciano José, Pérez, Darío Gabriel, Garavaglia, Mario José, Rosso, O. A.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131070
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id I19-R120-10915-131070
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Wavelet analysis
Wavelet entropy
Fractional
Brownian motion
Fractional Gaussian noise
α-parameter
spellingShingle Física
Wavelet analysis
Wavelet entropy
Fractional
Brownian motion
Fractional Gaussian noise
α-parameter
Zunino, Luciano José
Pérez, Darío Gabriel
Garavaglia, Mario José
Rosso, O. A.
Wavelet entropy of stochastic processes
topic_facet Física
Wavelet analysis
Wavelet entropy
Fractional
Brownian motion
Fractional Gaussian noise
α-parameter
description We compare two different definitions for the wavelet entropy associated to stochastic processes. The first one, the normalized total wavelet entropy (NTWS) family [S. Blanco, A. Figliola, R.Q. Quiroga, O.A. Rosso, E. Serrano, Time–frequency analysis of electroencephalogram series, III. Wavelet packets and information cost function, Phys. Rev. E 57 (1998) 932–940; O.A. Rosso, S. Blanco, J. Yordanova, V. Kolev, A. Figliola, M. Schürmann, E. Başar, Wavelet entropy: a new tool for analysis of short duration brain electrical signals, J. Neurosci. Method 105 (2001) 65–75] and a second introduced by Tavares and Lucena [Physica A 357(1) (2005) 71–78]. In order to understand their advantages and disadvantages, exact results obtained for fractional Gaussian noise (<math><mo is="true">-</mo><mn is="true">1</mn><mo is="true"><</mo><mi is="true">α</mi><mo is="true"><</mo><mspace width="0.33em" is="true"></mspace><mn is="true">1</mn></math>) and fractional Brownian motion (<math><mn is="true">1</mn><mo is="true"><</mo><mi is="true">α</mi><mo is="true"><</mo><mspace width="0.33em" is="true"></mspace><mn is="true">3</mn></math>) are assessed. We find out that the NTWS family performs better as a characterization method for these stochastic processes.
format Articulo
Articulo
author Zunino, Luciano José
Pérez, Darío Gabriel
Garavaglia, Mario José
Rosso, O. A.
author_facet Zunino, Luciano José
Pérez, Darío Gabriel
Garavaglia, Mario José
Rosso, O. A.
author_sort Zunino, Luciano José
title Wavelet entropy of stochastic processes
title_short Wavelet entropy of stochastic processes
title_full Wavelet entropy of stochastic processes
title_fullStr Wavelet entropy of stochastic processes
title_full_unstemmed Wavelet entropy of stochastic processes
title_sort wavelet entropy of stochastic processes
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/131070
work_keys_str_mv AT zuninolucianojose waveletentropyofstochasticprocesses
AT perezdariogabriel waveletentropyofstochasticprocesses
AT garavagliamariojose waveletentropyofstochasticprocesses
AT rossooa waveletentropyofstochasticprocesses
bdutipo_str Repositorios
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