SOME ASPECTS OF THE THEORY OF WAVELETS

The aim of this paper is to briefly discuss some strategies that have been developed for the construction of trigonometric polynomial m0 under certain conditions. Also show the relationship between the function scale ϕ, the wavelet and the trigonometric polynomial m0. Therefore, the Multiresolution...

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Detalles Bibliográficos
Autores: Núñez Ramírez, Luis Miguel, Gálvez Pérez, Humberto Emiliano, Peña Flores, Roland Hubert
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/9515
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9515
Access Level:acceso abierto
Palabra clave:Function scale ϕ
wavelets ψ
trigonometric polynomial m0
AMR and Frames .
Función escala ϕ
Ondicula ψ
polinomio trigonométrico m0
AMR
Frames.
Descripción
Sumario:The aim of this paper is to briefly discuss some strategies that have been developed for the construction of trigonometric polynomial m0 under certain conditions. Also show the relationship between the function scale ϕ, the wavelet and the trigonometric polynomial m0. Therefore, the Multiresolution Analysis (AMR) plays a vital role in the construction of orthonormal bases of wavelets. Among the new techniques used, one of the most important is the theory of frames that have a direct relationship with the wavelets analysis.