Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases

Autores
Medina, Juan Miguel; Cernuschi Frias, Bruno
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina
Fil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina
Materia
Finite Variance Random Processes
Kl-Expansions
Reproducing Kernel Hilbert Space
Riesz Bases
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/3358
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz BasesMedina, Juan MiguelCernuschi Frias, BrunoFinite Variance Random ProcessesKl-ExpansionsReproducing Kernel Hilbert SpaceRiesz Baseshttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2We 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.Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; ArgentinaFil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; ArgentinaInstitute Of Electrical And Electronics Engineers2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/3358Medina, Juan Miguel; Cernuschi Frias, Bruno; Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases; Institute Of Electrical And Electronics Engineers; Ieee Transactions On Information Theory; 59; 10; 10-2013; 6932-69380018-9448http:/dx.doi.org/10.1109/TIT.2013.2272874enginfo:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/url/http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6557529&queryText%3Dmedina+cernuschiinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T11:31:02Zoai:ri.conicet.gov.ar:11336/3358instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-29 11:31:02.89CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
title Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
spellingShingle Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
Medina, Juan Miguel
Finite Variance Random Processes
Kl-Expansions
Reproducing Kernel Hilbert Space
Riesz Bases
title_short Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
title_full Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
title_fullStr Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
title_full_unstemmed Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
title_sort Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases
dc.creator.none.fl_str_mv Medina, Juan Miguel
Cernuschi Frias, Bruno
author Medina, Juan Miguel
author_facet Medina, Juan Miguel
Cernuschi Frias, Bruno
author_role author
author2 Cernuschi Frias, Bruno
author2_role author
dc.subject.none.fl_str_mv Finite Variance Random Processes
Kl-Expansions
Reproducing Kernel Hilbert Space
Riesz Bases
topic Finite Variance Random Processes
Kl-Expansions
Reproducing Kernel Hilbert Space
Riesz Bases
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv 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.
Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina
Fil: Cernuschi Frias, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina
description 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.
publishDate 2013
dc.date.none.fl_str_mv 2013-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/3358
Medina, Juan Miguel; Cernuschi Frias, Bruno; Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases; Institute Of Electrical And Electronics Engineers; Ieee Transactions On Information Theory; 59; 10; 10-2013; 6932-6938
0018-9448
http:/dx.doi.org/10.1109/TIT.2013.2272874
url http://hdl.handle.net/11336/3358
http:/dx.doi.org/10.1109/TIT.2013.2272874
identifier_str_mv Medina, Juan Miguel; Cernuschi Frias, Bruno; Equivalence Between Representations for Samplable Stochastic Processes and its Relationship With Riesz Bases; Institute Of Electrical And Electronics Engineers; Ieee Transactions On Information Theory; 59; 10; 10-2013; 6932-6938
0018-9448
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/url/http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6557529&queryText%3Dmedina+cernuschi
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute Of Electrical And Electronics Engineers
publisher.none.fl_str_mv Institute Of Electrical And Electronics Engineers
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1847426203017805824
score 13.10058

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