Descripción
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Assume that a sequence of samples of a filtered version of a function in a shift-invariant space is given. This paper deals with the existence of a sampling formula involving these samples and having reconstruction functions with compact support. This is done in the light of the generalized sampling theory by using the oversampling technique. A necessary and sufficient condition is given in terms of the Smith canonical form of a polynomial matrix. Finally, we prove that the aforesaid oversampled formulas provide nice approximation schemes with respect to the uniform norm. | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
ISSN
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0377-0427 |
Factor de impacto JCR
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1,048 |
Información de impacto
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Volumen
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227 |
DOI
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10.1016/j.cam.2008.03.013 |
Número de revista
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2 |
Desde la página
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245 |
Hasta la página
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253 |
Mes
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FEBRERO |
Ranking
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