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Descripción
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| This article concerns the problem of stable recovering of any function in a shift-invariant space from irregular samples of some filtered versions of the function itself. The starting point is the generalized regular sampling theory which allows to recover any function f(t) in a shift-invariant space from the samples of s filtered versions at the sampling points rn, where s is grater or equal to r. These regular samples can be expressed as the frame coefficients of a related to f function in L^2(0,1) with respect to certain frame for L^2(0,1). The irregular samples are also obtained as a perturbation of the aforesaid frame. As a natural consequence, the irregular sampling results arise from the theory of perturbation of frames. The paper ends putting the theory to work in some spline examples. | |
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Internacional
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Si |
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JCR del ISI
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No |
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Título de la revista
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AAPG BULL |
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ISSN
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0219-6913 |
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Factor de impacto JCR
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1,273 |
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Información de impacto
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Volumen
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5 |
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DOI
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Número de revista
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3 |
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Desde la página
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369 |
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Hasta la página
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387 |
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Mes
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MARZO |
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Ranking
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