Positive time-frequency distributions based on joint marginal constraints

This correspondence studies the formulation of members of the Cohen-Posch class of positive time-frequency energy distributions. Minimization of cross-entropy measures with respect to different priors and the case of no prior or maximum entropy were considered. It is concluded that, in general, the...

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Detalhes bibliográficos
Autor: Rodríguez Fonollosa, Javier|||0000-0002-0136-2586
Formato: artículo
Fecha de publicación:1996
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/1556
Acesso em linha:https://hdl.handle.net/2117/1556
Access Level:acceso abierto
Palavra-chave:Signal processing
Mathematical analysis
Information theory
Cohen-Posch distributions
Cross-entropy measures minimization
Direction invariance criterion
Fractional Fourier transform
Frequency marginals
Joint marginal constraints
Maximum entropy methods
Minimisation
Positive time-frequency energy distributions
Signal representation
Spectral analysis
Spectrogram
Statistical analysis
Time-frequency analysis
Time-frequency plane
Time marginals
Processament del senyal
Anàlisi matemàtica
Teoria de la informació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
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spelling Positive time-frequency distributions based on joint marginal constraintsRodríguez Fonollosa, Javier|||0000-0002-0136-2586Signal processingMathematical analysisInformation theoryCohen-Posch distributionsCross-entropy measures minimizationDirection invariance criterionFractional Fourier transformFrequency marginalsInformation theoryJoint marginal constraintsMaximum entropy methodsMinimisationPositive time-frequency energy distributionsSignal representationSpectral analysisSpectrogramStatistical analysisTime-frequency analysisTime-frequency planeTime marginalsProcessament del senyalAnàlisi matemàticaTeoria de la informacióÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyalThis correspondence studies the formulation of members of the Cohen-Posch class of positive time-frequency energy distributions. Minimization of cross-entropy measures with respect to different priors and the case of no prior or maximum entropy were considered. It is concluded that, in general, the information provided by the classical marginal constraints is very limited, and thus, the final distribution heavily depends on the prior distribution. To overcome this limitation, joint time and frequency marginals are derived based on a "direction invariance" criterion on the time-frequency plane that are directly related to the fractional Fourier transform.Peer ReviewedIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC19961996-08-0120082008-02-04journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/1556reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/15562026-05-27T15:37:01Z
dc.title.none.fl_str_mv Positive time-frequency distributions based on joint marginal constraints
title Positive time-frequency distributions based on joint marginal constraints
spellingShingle Positive time-frequency distributions based on joint marginal constraints
Rodríguez Fonollosa, Javier|||0000-0002-0136-2586
Signal processing
Mathematical analysis
Information theory
Cohen-Posch distributions
Cross-entropy measures minimization
Direction invariance criterion
Fractional Fourier transform
Frequency marginals
Information theory
Joint marginal constraints
Maximum entropy methods
Minimisation
Positive time-frequency energy distributions
Signal representation
Spectral analysis
Spectrogram
Statistical analysis
Time-frequency analysis
Time-frequency plane
Time marginals
Processament del senyal
Anàlisi matemàtica
Teoria de la informació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
title_short Positive time-frequency distributions based on joint marginal constraints
title_full Positive time-frequency distributions based on joint marginal constraints
title_fullStr Positive time-frequency distributions based on joint marginal constraints
title_full_unstemmed Positive time-frequency distributions based on joint marginal constraints
title_sort Positive time-frequency distributions based on joint marginal constraints
dc.creator.none.fl_str_mv Rodríguez Fonollosa, Javier|||0000-0002-0136-2586
author Rodríguez Fonollosa, Javier|||0000-0002-0136-2586
author_facet Rodríguez Fonollosa, Javier|||0000-0002-0136-2586
author_role author
dc.subject.none.fl_str_mv Signal processing
Mathematical analysis
Information theory
Cohen-Posch distributions
Cross-entropy measures minimization
Direction invariance criterion
Fractional Fourier transform
Frequency marginals
Information theory
Joint marginal constraints
Maximum entropy methods
Minimisation
Positive time-frequency energy distributions
Signal representation
Spectral analysis
Spectrogram
Statistical analysis
Time-frequency analysis
Time-frequency plane
Time marginals
Processament del senyal
Anàlisi matemàtica
Teoria de la informació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
topic Signal processing
Mathematical analysis
Information theory
Cohen-Posch distributions
Cross-entropy measures minimization
Direction invariance criterion
Fractional Fourier transform
Frequency marginals
Information theory
Joint marginal constraints
Maximum entropy methods
Minimisation
Positive time-frequency energy distributions
Signal representation
Spectral analysis
Spectrogram
Statistical analysis
Time-frequency analysis
Time-frequency plane
Time marginals
Processament del senyal
Anàlisi matemàtica
Teoria de la informació
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
description This correspondence studies the formulation of members of the Cohen-Posch class of positive time-frequency energy distributions. Minimization of cross-entropy measures with respect to different priors and the case of no prior or maximum entropy were considered. It is concluded that, in general, the information provided by the classical marginal constraints is very limited, and thus, the final distribution heavily depends on the prior distribution. To overcome this limitation, joint time and frequency marginals are derived based on a "direction invariance" criterion on the time-frequency plane that are directly related to the fractional Fourier transform.
publishDate 1996
dc.date.none.fl_str_mv 1996
1996-08-01
2008
2008-02-04
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/1556
url https://hdl.handle.net/2117/1556
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
publisher.none.fl_str_mv IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869414313455779840
score 15,301603

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