Random Telegraphic Signals with Fractal-like Probability Transition Rates

Autores
Elaskar, Sergio Amado; Bruel, Pascal; Gutiérrez Marcantoni, Luis
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Many physical processes feature random telegraph signals, e.g., a time signal c(t) that randomly switches between two values over time. The present study focuses on the class of telegraphic processes for which the transition rates are formulated by using fractal-like expressions. By considering various restrictive hypotheses regarding the statistics of the waiting times, the present analysis provides the corresponding expressions of the unconditional and conditional probabilities, the mean waiting times, the mean phase duration, the autocorrelation function and the associated integral time scale, the spectral density, and the mean switching frequency. To assess the relevance of the various hypotheses, synthetically generated signals were constructed and used as referencesto evaluate the predictive quality of the theoretically derived expressions. The best predictions were obtained by considering that the waiting times probability density functions were Dirac peaks centered on the corresponding mean values.
Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
Fil: Bruel, Pascal. Centre National de la Recherche Scientifique; Francia
Fil: Gutiérrez Marcantoni, Luis. Fundación Universitaria Los Libertadores; Colombia
Materia
telegraph signal
fractal
probability transition
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/277961
Acceder
id CONICETDig_73fefa3e4fcb59d2fd88068b09df8443
oai_identifier_str oai:ri.conicet.gov.ar:11336/277961
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Random Telegraphic Signals with Fractal-like Probability Transition RatesElaskar, Sergio AmadoBruel, PascalGutiérrez Marcantoni, Luistelegraph signalfractalprobability transitionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Many physical processes feature random telegraph signals, e.g., a time signal c(t) that randomly switches between two values over time. The present study focuses on the class of telegraphic processes for which the transition rates are formulated by using fractal-like expressions. By considering various restrictive hypotheses regarding the statistics of the waiting times, the present analysis provides the corresponding expressions of the unconditional and conditional probabilities, the mean waiting times, the mean phase duration, the autocorrelation function and the associated integral time scale, the spectral density, and the mean switching frequency. To assess the relevance of the various hypotheses, synthetically generated signals were constructed and used as referencesto evaluate the predictive quality of the theoretically derived expressions. The best predictions were obtained by considering that the waiting times probability density functions were Dirac peaks centered on the corresponding mean values.Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; ArgentinaFil: Bruel, Pascal. Centre National de la Recherche Scientifique; FranciaFil: Gutiérrez Marcantoni, Luis. Fundación Universitaria Los Libertadores; ColombiaMultidisciplinary Digital Publishing Institute2024-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/277961Elaskar, Sergio Amado; Bruel, Pascal; Gutiérrez Marcantoni, Luis; Random Telegraphic Signals with Fractal-like Probability Transition Rates; Multidisciplinary Digital Publishing Institute; Symmetry; 16; 9; 9-2024; 1-202073-8994CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/sym16091175info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-23T14:45:18Zoai:ri.conicet.gov.ar:11336/277961instacron: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:34982025-12-23 14:45:18.451CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Random Telegraphic Signals with Fractal-like Probability Transition Rates
title Random Telegraphic Signals with Fractal-like Probability Transition Rates
spellingShingle Random Telegraphic Signals with Fractal-like Probability Transition Rates
Elaskar, Sergio Amado
telegraph signal
fractal
probability transition
title_short Random Telegraphic Signals with Fractal-like Probability Transition Rates
title_full Random Telegraphic Signals with Fractal-like Probability Transition Rates
title_fullStr Random Telegraphic Signals with Fractal-like Probability Transition Rates
title_full_unstemmed Random Telegraphic Signals with Fractal-like Probability Transition Rates
title_sort Random Telegraphic Signals with Fractal-like Probability Transition Rates
dc.creator.none.fl_str_mv Elaskar, Sergio Amado
Bruel, Pascal
Gutiérrez Marcantoni, Luis
author Elaskar, Sergio Amado
author_facet Elaskar, Sergio Amado
Bruel, Pascal
Gutiérrez Marcantoni, Luis
author_role author
author2 Bruel, Pascal
Gutiérrez Marcantoni, Luis
author2_role author
author
dc.subject.none.fl_str_mv telegraph signal
fractal
probability transition
topic telegraph signal
fractal
probability transition
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Many physical processes feature random telegraph signals, e.g., a time signal c(t) that randomly switches between two values over time. The present study focuses on the class of telegraphic processes for which the transition rates are formulated by using fractal-like expressions. By considering various restrictive hypotheses regarding the statistics of the waiting times, the present analysis provides the corresponding expressions of the unconditional and conditional probabilities, the mean waiting times, the mean phase duration, the autocorrelation function and the associated integral time scale, the spectral density, and the mean switching frequency. To assess the relevance of the various hypotheses, synthetically generated signals were constructed and used as referencesto evaluate the predictive quality of the theoretically derived expressions. The best predictions were obtained by considering that the waiting times probability density functions were Dirac peaks centered on the corresponding mean values.
Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
Fil: Bruel, Pascal. Centre National de la Recherche Scientifique; Francia
Fil: Gutiérrez Marcantoni, Luis. Fundación Universitaria Los Libertadores; Colombia
description Many physical processes feature random telegraph signals, e.g., a time signal c(t) that randomly switches between two values over time. The present study focuses on the class of telegraphic processes for which the transition rates are formulated by using fractal-like expressions. By considering various restrictive hypotheses regarding the statistics of the waiting times, the present analysis provides the corresponding expressions of the unconditional and conditional probabilities, the mean waiting times, the mean phase duration, the autocorrelation function and the associated integral time scale, the spectral density, and the mean switching frequency. To assess the relevance of the various hypotheses, synthetically generated signals were constructed and used as referencesto evaluate the predictive quality of the theoretically derived expressions. The best predictions were obtained by considering that the waiting times probability density functions were Dirac peaks centered on the corresponding mean values.
publishDate 2024
dc.date.none.fl_str_mv 2024-09
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/11336/277961
Elaskar, Sergio Amado; Bruel, Pascal; Gutiérrez Marcantoni, Luis; Random Telegraphic Signals with Fractal-like Probability Transition Rates; Multidisciplinary Digital Publishing Institute; Symmetry; 16; 9; 9-2024; 1-20
2073-8994
CONICET Digital
CONICET
url http://hdl.handle.net/11336/277961
identifier_str_mv Elaskar, Sergio Amado; Bruel, Pascal; Gutiérrez Marcantoni, Luis; Random Telegraphic Signals with Fractal-like Probability Transition Rates; Multidisciplinary Digital Publishing Institute; Symmetry; 16; 9; 9-2024; 1-20
2073-8994
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/sym16091175
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
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_ 1852335807307710464
score 12.952241

Publicaciones similares