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Abstract:

In this work we characterize random processes which can be linearly determined using a frame sequence of random variables. In particular, these could be the discrete samples of a continuous time process. We study the stable representation of continuous time processes by means of discrete samples or measurements of the original process. Finally, we study how these representations can be applied to reduce the effects of reconstructing a random signal from samples corrupted by additive noise. © 2015 Elsevier Inc.

Registro:

Documento: Artículo
Título:Frame sequences and representations for samplable random processes
Autor:Medina, J.M.; Cernuschi-Frías, B.
Filiación:Departamento de Matemática, Universidad de Buenos Aires (U.B.A.), Argentina
Instituto Argentino de Matemática A. Calderón, CONICET, Saavedra 15, 3, Capital Federal, 1083, Argentina
Palabras clave:Frames; Karhunen-Loève transforms; RKHS; Sampling and reconstruction of signals; Second order stochastic processes
Año:2016
Volumen:433
Número:1
Página de inicio:320
Página de fin:337
DOI: http://dx.doi.org/10.1016/j.jmaa.2015.07.047
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v433_n1_p320_Medina

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Citas:

---------- APA ----------
Medina, J.M. & Cernuschi-Frías, B. (2016) . Frame sequences and representations for samplable random processes. Journal of Mathematical Analysis and Applications, 433(1), 320-337.
http://dx.doi.org/10.1016/j.jmaa.2015.07.047
---------- CHICAGO ----------
Medina, J.M., Cernuschi-Frías, B. "Frame sequences and representations for samplable random processes" . Journal of Mathematical Analysis and Applications 433, no. 1 (2016) : 320-337.
http://dx.doi.org/10.1016/j.jmaa.2015.07.047
---------- MLA ----------
Medina, J.M., Cernuschi-Frías, B. "Frame sequences and representations for samplable random processes" . Journal of Mathematical Analysis and Applications, vol. 433, no. 1, 2016, pp. 320-337.
http://dx.doi.org/10.1016/j.jmaa.2015.07.047
---------- VANCOUVER ----------
Medina, J.M., Cernuschi-Frías, B. Frame sequences and representations for samplable random processes. J. Math. Anal. Appl. 2016;433(1):320-337.
http://dx.doi.org/10.1016/j.jmaa.2015.07.047