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| Titel: |
Sampling theorem for functions bandlimited to a disc |
| Auteur: |
Zayed, Ahmed I. |
| Verschenen in: |
Complex variables and elliptic equations |
| Paginering: | Jaargang 26 (1994) nr. 3 pagina's 245-254 |
| Jaar: |
1994-12 |
| Inhoud: |
The Whittaker-Shannon-Kotel'nikov sampling theorem provides sampling series expansions for the re-construction of functions (signals) that are bandlimited to finite closed intervals, symmetric about the origin, i.e., intervals of type [-a,a]. There are generalizations of this theorem to Ndimensions, yet they all mainly deal with functions that are also bandlimited to N-dimensional rectangles symmetric about the origin. No general theory seems to exist for functions that are bandlimited to a general domain in Ndimensions. In this paper we give, by using polar coordinates, a sampling series expansion that can be used for the reconstruction of functions (signals) that are bandlimited to a disc centered at the origin. The sample points are the eigenvalues of a Dirichlet problem in the disc. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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