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Artículos en revistas:
On the truncation error of generalized sampling formula
Año:2007
Áreas de investigación
  • Matemáticas
Datos
Descripción
The generalized sampling formula allows to recover the functions of a shift-invariant space from the samples of the responses to the function of s linear shift-invariant systems, sampled at the points sn. In practice, only finitely many samples are available and the truncation error arises. This error has been studied for the classical uniform sampling formula, i.e. involving only uniform samples of the function, when the generator of the shift-invariant space has polynomial decay. In many practical applications the generator of the spaces has compact support. In this case, much more can be said about the truncation error and besides, it can be easily studied for the generalized formula. In this correspondence, we obtain estimations for the truncation error of the generalized sampling formula when the generator has compact support that shows that this error has exponential decay and that the rate depends on the zeros of certain polynomial. We illustrate the obtained results with examples in splines spaces.
Internacional
Si
JCR del ISI
No
Título de la revista
AAPG BULL
ISSN
1530-6429
Factor de impacto JCR
1,273
Información de impacto
Volumen
6
DOI
Número de revista
6
Desde la página
53
Hasta la página
69
Mes
ENERO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • autor: Antonio García García (Universidad Carlos III de Madrid)
  • 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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