MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials

Autores
Gama, Fernando; Casaglia, Daniel; Cernuschi-Frías, Bruno
Año de publicación
2013
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
Multiple damped complex exponentials are of great practical importance as they are useful for describing many technological situations. Several estimators have been developed for the parameters of these complex exponentials. In this paper, we apply the MiniMax affine estimator to this problem in order to obtain a better performance (in terms of the mean squared error) than other unbiased estimators. Through simulations, this estimator is shown to have a reduced mean squared error, especially for the adverse case of lower signal-to-noise ratio. Additionally, a closed form expression for the MiniMax affine estimator is presented.
Sociedad Argentina de Informática e Investigación Operativa
Materia
Ciencias Informáticas
damped sinusoids estimation
affine estimators
mean squared error
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/76852
Acceder
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network_acronym_str SEDICI
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network_name_str SEDICI (UNLP)
spelling MiniMax Affine Estimation of Parameters of Multiple Damped Complex ExponentialsGama, FernandoCasaglia, DanielCernuschi-Frías, BrunoCiencias Informáticasdamped sinusoids estimationaffine estimatorsmean squared errorMultiple damped complex exponentials are of great practical importance as they are useful for describing many technological situations. Several estimators have been developed for the parameters of these complex exponentials. In this paper, we apply the MiniMax affine estimator to this problem in order to obtain a better performance (in terms of the mean squared error) than other unbiased estimators. Through simulations, this estimator is shown to have a reduced mean squared error, especially for the adverse case of lower signal-to-noise ratio. Additionally, a closed form expression for the MiniMax affine estimator is presented.Sociedad Argentina de Informática e Investigación Operativa2013-09info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf81-92http://sedici.unlp.edu.ar/handle/10915/76852enginfo:eu-repo/semantics/altIdentifier/url/http://42jaiio.sadio.org.ar/proceedings/simposios/Trabajos/AST/08.pdfinfo:eu-repo/semantics/altIdentifier/issn/1850-2806info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:05:34Zoai:sedici.unlp.edu.ar:10915/76852Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:05:35.016SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
title MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
spellingShingle MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
Gama, Fernando
Ciencias Informáticas
damped sinusoids estimation
affine estimators
mean squared error
title_short MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
title_full MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
title_fullStr MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
title_full_unstemmed MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
title_sort MiniMax Affine Estimation of Parameters of Multiple Damped Complex Exponentials
dc.creator.none.fl_str_mv Gama, Fernando
Casaglia, Daniel
Cernuschi-Frías, Bruno
author Gama, Fernando
author_facet Gama, Fernando
Casaglia, Daniel
Cernuschi-Frías, Bruno
author_role author
author2 Casaglia, Daniel
Cernuschi-Frías, Bruno
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Informáticas
damped sinusoids estimation
affine estimators
mean squared error
topic Ciencias Informáticas
damped sinusoids estimation
affine estimators
mean squared error
dc.description.none.fl_txt_mv Multiple damped complex exponentials are of great practical importance as they are useful for describing many technological situations. Several estimators have been developed for the parameters of these complex exponentials. In this paper, we apply the MiniMax affine estimator to this problem in order to obtain a better performance (in terms of the mean squared error) than other unbiased estimators. Through simulations, this estimator is shown to have a reduced mean squared error, especially for the adverse case of lower signal-to-noise ratio. Additionally, a closed form expression for the MiniMax affine estimator is presented.
Sociedad Argentina de Informática e Investigación Operativa
description Multiple damped complex exponentials are of great practical importance as they are useful for describing many technological situations. Several estimators have been developed for the parameters of these complex exponentials. In this paper, we apply the MiniMax affine estimator to this problem in order to obtain a better performance (in terms of the mean squared error) than other unbiased estimators. Through simulations, this estimator is shown to have a reduced mean squared error, especially for the adverse case of lower signal-to-noise ratio. Additionally, a closed form expression for the MiniMax affine estimator is presented.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Objeto de conferencia
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/76852
url http://sedici.unlp.edu.ar/handle/10915/76852
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/1850-2806
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
81-92
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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