Mother wavelet functions generalized through q-exponentials

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2004
Outros Autores: Miranda, José Garcia Vivas, Tsallis, Constantino, Borges, Ernesto Pinheiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14656
Resumo: Texto completo: acesso restrito. p. 9125–9137
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spelling Andrade, Roberto Fernandes SilvaMiranda, José Garcia VivasTsallis, ConstantinoBorges, Ernesto PinheiroAndrade, Roberto Fernandes SilvaMiranda, José Garcia VivasTsallis, ConstantinoBorges, Ernesto Pinheiro2014-02-21T18:32:40Z20040305-4470http://repositorio.ufba.br/ri/handle/ri/14656v. 37, n. 39Texto completo: acesso restrito. p. 9125–9137We generalize somewidely usedmotherwavelets by means of the q-exponential function ex q ≡ [1 + (1 − q)x]1/(1−q) q ∈ R, ex1 = ex that emerges from nonextensive statistical mechanics. In particular, we define extended versions of the Mexican hat and the Morlet wavelets. We also introduce new wavelets that are q-generalizations of the trigonometric functions. All cases reduce to the usual ones as q → 1. Within nonextensive statistical mechanics, departures from unity of the entropic index q are expected in the presence of long-range interactions, long-term memory, multi-fractal structures, among others. Consistently the analysis of signals associated with such features is hopefully improved by proper tuning of the value of q. We exemplify with the wavelet transform modulus-maxima method for mono- and multi-fractal self-affine signals.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-12-04T10:55:06Z No. of bitstreams: 1 Roberto F S Andrade.pdf: 292981 bytes, checksum: 8a37ff4955b6e7d0afa1c6853515b97e (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-02-21T18:32:40Z (GMT) No. of bitstreams: 1 Roberto F S Andrade.pdf: 292981 bytes, checksum: 8a37ff4955b6e7d0afa1c6853515b97e (MD5)Made available in DSpace on 2014-02-21T18:32:40Z (GMT). No. of bitstreams: 1 Roberto F S Andrade.pdf: 292981 bytes, checksum: 8a37ff4955b6e7d0afa1c6853515b97e (MD5) Previous issue date: 2004http://dx.doi.org/ doi:10.1088/0305-4470/37/39/006reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMother wavelet functions generalized through q-exponentialsJournal of Physics -London- a Mathematical and Generalinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALRoberto F S Andrade.pdfRoberto F S Andrade.pdfapplication/pdf292981https://repositorio.ufba.br/bitstream/ri/14656/1/Roberto%20F%20S%20Andrade.pdf8a37ff4955b6e7d0afa1c6853515b97eMD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14656/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTRoberto F S Andrade.pdf.txtRoberto F S Andrade.pdf.txtExtracted texttext/plain32233https://repositorio.ufba.br/bitstream/ri/14656/3/Roberto%20F%20S%20Andrade.pdf.txt95c4914846ec06f4e165d58ecff96adeMD53ri/146562022-07-05 14:03:47.479oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:47Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Mother wavelet functions generalized through q-exponentials
dc.title.alternative.pt_BR.fl_str_mv Journal of Physics -London- a Mathematical and General
title Mother wavelet functions generalized through q-exponentials
spellingShingle Mother wavelet functions generalized through q-exponentials
Andrade, Roberto Fernandes Silva
title_short Mother wavelet functions generalized through q-exponentials
title_full Mother wavelet functions generalized through q-exponentials
title_fullStr Mother wavelet functions generalized through q-exponentials
title_full_unstemmed Mother wavelet functions generalized through q-exponentials
title_sort Mother wavelet functions generalized through q-exponentials
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Miranda, José Garcia Vivas
Tsallis, Constantino
Borges, Ernesto Pinheiro
author_role author
author2 Miranda, José Garcia Vivas
Tsallis, Constantino
Borges, Ernesto Pinheiro
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Miranda, José Garcia Vivas
Tsallis, Constantino
Borges, Ernesto Pinheiro
Andrade, Roberto Fernandes Silva
Miranda, José Garcia Vivas
Tsallis, Constantino
Borges, Ernesto Pinheiro
description Texto completo: acesso restrito. p. 9125–9137
publishDate 2004
dc.date.issued.fl_str_mv 2004
dc.date.accessioned.fl_str_mv 2014-02-21T18:32:40Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14656
dc.identifier.issn.none.fl_str_mv 0305-4470
dc.identifier.number.pt_BR.fl_str_mv v. 37, n. 39
identifier_str_mv 0305-4470
v. 37, n. 39
url http://repositorio.ufba.br/ri/handle/ri/14656
dc.language.iso.fl_str_mv eng
language eng
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