On the multidimensional sampling theorem (Q2748024)
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scientific article; zbMATH DE number 1658771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the multidimensional sampling theorem |
scientific article; zbMATH DE number 1658771 |
Statements
2 January 2002
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sampling theorem
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band-limited processes
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multidimensional processes
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almost sure convergence
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\(L_2\)-convergence
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On the multidimensional sampling theorem (English)
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Extensions of the sampling theorem to the multidimensional weakly stationary (not necessarily band-limited) processes are given. The case of full spectrum multidimensional processes is studied. The mean square and almost sure convergences of the sampling expansion sum are established. An extended bibliography and comments of results are given in the additional section.
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