Por favor, use este identificador para citar o enlazar este ítem:
https://repositorio.ufba.br/handle/ri/14656
metadata.dc.type: | Artigo de Periódico |
Título : | Mother wavelet functions generalized through q-exponentials |
Otros títulos : | Journal of Physics -London- a Mathematical and General |
Autor : | Andrade, Roberto Fernandes Silva Miranda, José Garcia Vivas Tsallis, Constantino Borges, Ernesto Pinheiro |
metadata.dc.creator: | Andrade, Roberto Fernandes Silva Miranda, José Garcia Vivas Tsallis, Constantino Borges, Ernesto Pinheiro |
Resumen : | We 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. |
metadata.dc.rights: | Acesso Aberto |
URI : | http://repositorio.ufba.br/ri/handle/ri/14656 |
Fecha de publicación : | 2004 |
Aparece en las colecciones: | Artigo Publicado em Periódico (FIS) |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
Roberto F S Andrade.pdf | 286,11 kB | Adobe PDF | Visualizar/Abrir |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.