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Memorias de investigación
Artículos en revistas:
Multivariate generalized sampling in shift-invariant spaces and its approximation properties
Año:2009
Áreas de investigación
  • Matemáticas
Datos
Descripción
Nowadays the topic of sampling in a shift-invariant space is having a significant impact: it avoids most of the problems associated with classical Shannon's theory. Under appropriate hypotheses, any multivariate function in a shift-invariant space can be recovered from its samples at . However, in many common situations the available data are samples of some convolution operators acting on the function itself: this leads to the problem of multivariate generalized sampling in shift-invariant spaces. This extra information on the functions in the shift-invariant space will allow to sample in an appropriate sub-lattice of . In this paper an theory involving the frame theory is exhibited. Sampling formulas which are frame expansions for the shift-invariant space are obtained. In the case of overcomplete frame formulas, the search of reconstruction functions with prescribed good properties is allowed. Finally, approximation schemes using these generalized sampling formulas are included.
Internacional
Si
JCR del ISI
Si
Título de la revista
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN
0022-247X
Factor de impacto JCR
1,046
Información de impacto
Volumen
355
DOI
10.1016/j.jmaa.2009.01.057
Número de revista
1
Desde la página
397
Hasta la página
413
Mes
ENERO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • Participante: Antonio García García (Carlos III)
  • Autor: Gerardo Perez Villalon (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación
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