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Abstract:

A new paradigm in sampling theory has been developed recently by Lu and Do. In this new approach the classical linear model is replaced by a non-linear, but structured, model consisting of a union of subspaces. This is the natural approach for the new theory of compressed sampling, representation of sparse signals, and signals with finite rate of innovation. In this article we extend the theory of Lu and Do, for the case that the subspaces in the union are shift-invariant spaces. We describe the subspaces by means of frame generators instead of orthonormal bases. We show that the one-to-one and stability conditions for the sampling operator are valid for this more general case. © 2009 SAMPLING PUBLISHING.

Registro:

Documento: Artículo
Título:Sampling in a union of frame generated subspaces
Autor:Anastasio, M.; Cabrelli, C.
Filiación:Depto. de Matemática, FCEyN, Univ. de Buenos Aires, Cdad. Universitaria, Pab. I, Buenos Aires, 1428, Argentina
CONICET, Argentina
Palabras clave:Angle between subspaces; Compressed sampling; Frames; Gramian operator; Riesz basis; Sampling; Shift-invariant spaces
Año:2009
Volumen:8
Número:3
Página de inicio:261
Página de fin:286
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_v8_n3_p261_Anastasio

Referencias:

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Citas:

---------- APA ----------
Anastasio, M. & Cabrelli, C. (2009) . Sampling in a union of frame generated subspaces. Sampling Theory in Signal and Image Processing, 8(3), 261-286.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p261_Anastasio [ ]
---------- CHICAGO ----------
Anastasio, M., Cabrelli, C. "Sampling in a union of frame generated subspaces" . Sampling Theory in Signal and Image Processing 8, no. 3 (2009) : 261-286.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p261_Anastasio [ ]
---------- MLA ----------
Anastasio, M., Cabrelli, C. "Sampling in a union of frame generated subspaces" . Sampling Theory in Signal and Image Processing, vol. 8, no. 3, 2009, pp. 261-286.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p261_Anastasio [ ]
---------- VANCOUVER ----------
Anastasio, M., Cabrelli, C. Sampling in a union of frame generated subspaces. Sampl.Theory Signal Image Proces. 2009;8(3):261-286.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15306429_v8_n3_p261_Anastasio [ ]