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Abstract
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| It is well-known that, under appropriate hypotheses, a sampling formula allows us to recover any function in a principal shift-invariant space from its samples taken with sampling period one. Whenever the generator of the shift-invariant space satisfies the Strang-Fix conditions of order $r$, this formula also provides an approximation scheme of order $r$ valid for smooth functions. In this paper we obtain sampling formulas sharing the same features by using a rational sampling period less than one. With the use of this oversampling technique, there exist no one, but infinite many sampling formulas allowing the recovery of the functions in the shift-invariant space. This makes possible, whenever the generator has compact support, to get one whose associated reconstruction functions are also compactly supported. | |
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International
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Si |
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JCR
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Si |
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Title
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IEEE TRANSACTIONS ON SIGNAL PROCESSING |
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ISBN
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1053-587X |
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Impact factor JCR
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2,335 |
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Impact info
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Volume
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57 |
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10.1109/TSP.2009.2021497 |
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Journal number
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9 |
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From page
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3442 |
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To page
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3449 |
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Month
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SEPTIEMBRE |
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Ranking
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