DocumentCode
34623
Title
Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
Author
Medina, Juan Miguel ; Cernuschi-Frias, Bruno
Author_Institution
Dept. Mat., Univ. de Buenos Aires, Buenos Aires, Argentina
Volume
59
Issue
10
fYear
2013
fDate
Oct. 2013
Firstpage
6932
Lastpage
6938
Abstract
We characterize random signals which can be linearly determined by their samples. This problem is related to the question of the representation of random variables by means of a countable Riesz basis. We study different representations for processes which are linearly determined by a countable Riesz basis. This concerns the representation of continuous time processes by means of discrete samples.
Keywords
signal processing; stochastic processes; continuous time processes; countable Riesz basis; random signals; samplable stochastic processes; Convergence; Extraterrestrial measurements; Hilbert space; Indexes; Kernel; Random processes; Stochastic processes; Finite variance random processes; KL-expansions; Riesz bases; reproducing kernel Hilbert space; sampling;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2272874
Filename
6557529
Link To Document