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Abstract
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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. | |
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International
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Si |
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JCR
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Title
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
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ISBN
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0377-0427 |
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Impact factor JCR
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1,048 |
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Impact info
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Volume
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227 |
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10.1016/j.cam.2008.03.013 |
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Journal number
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2 |
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From page
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245 |
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To page
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253 |
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Month
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FEBRERO |
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Ranking
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