Artículo
Blanco, C.; Cabrelli, C.; Heineken, S. "Functions in sampling spaces" (2006) Sampling Theory in Signal and Image Processing. 5(3):275-295
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Abstract:
Sampling theory in spaces other than the space of band-limited functions has recently received considerable attention. This is in part because the band-limitedness assumption is not very realistic in many applications. In addition, band-limited functions can have very slow decay which translates in poor reconstruction. In this article we study the sampling problem in general shift invariant spaces. We characterize the functions in these spaces and provide necessary and sufficient conditions for a function in L2(R) to belong to a sampling space. Furthermore, we obtain decompositions of a sampling space in sampling subspaces. These decompositions are related with determining sets. Some examples are provided. © 2003 Sampling Publishing.
Registro:
| Documento: | Artículo |
| Título: | Functions in sampling spaces |
| Autor: | Blanco, C.; Cabrelli, C.; Heineken, S. |
| Filiación: | Depto. de Matemática, Univ. de Buenos Aires, Pab. I, 1428 Capital Federal, Argentina Depto. de Matemática, Univ. de Buenos Aires, CONICET, Pab. I, 1428 Capital Federal, Argentina |
| Palabras clave: | Determining sets; Frames; Sampling spaces; Shift invariant spaces |
| Año: | 2006 |
| Volumen: | 5 |
| Número: | 3 |
| Página de inicio: | 275 |
| Página de fin: | 295 |
| Título revista: | Sampling Theory in Signal and Image Processing |
| Título revista abreviado: | Sampl.Theory Signal Image Proces. |
| ISSN: | 15306429 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v5_n3_p275_Blanco |
Referencias:
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- Aldroubi, A., Gröchenig, K., Nonuniform sampling and reconstruction in shift-invariant spaces (2001) SIAM Rev., 43 (4), pp. 585-620
- Bownik, M., The structure of shift-invariant subspaces of L2 (Rn) (2000) J. Funct. Anal., 177 (2), pp. 282-309
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- Sun, W., Zhou, X., On the sampling theorem for wavelet subspaces (1999) J. Fourier Anal. Appl., 5, pp. 347-354
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Citas:
---------- APA ----------
Blanco, C., Cabrelli, C. & Heineken, S. (2006) . Functions in sampling spaces. Sampling Theory in Signal and Image Processing, 5(3), 275-295.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v5_n3_p275_Blanco [ ]
---------- CHICAGO ----------
Blanco, C., Cabrelli, C., Heineken, S. "Functions in sampling spaces" . Sampling Theory in Signal and Image Processing 5, no. 3 (2006) : 275-295.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v5_n3_p275_Blanco [ ]
---------- MLA ----------
Blanco, C., Cabrelli, C., Heineken, S. "Functions in sampling spaces" . Sampling Theory in Signal and Image Processing, vol. 5, no. 3, 2006, pp. 275-295.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v5_n3_p275_Blanco [ ]
---------- VANCOUVER ----------
Blanco, C., Cabrelli, C., Heineken, S. Functions in sampling spaces. Sampl.Theory Signal Image Proces. 2006;5(3):275-295.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v5_n3_p275_Blanco [ ]
