Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy
- Autores
- Cincotta, Pablo Miguel; Helmi, Amina; Méndez, Mariano R.; Núñez, Josué Arturo; Vucetich, Héctor
- Año de publicación
- 1999
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We have recently introduced a new method of searching a time series for periodic variability. The method uses the Shannon entropy to measure the amount of information provided by a set of observations that may contain an underlying periodic signal, as a function of the assumed period of this hypothetical periodic signal. Here we present the analytical arguments that support this algorithm within the broader frame of information theory. We also show that, in the absence of a periodic signal, the entropies follow a Gaussian distribution, which then provides an easy way of assessing the signicance of a positive detection. We test this method using simulated data with non-sinusoidal variability, and we show that it is more sensitivethan the classical periodograms or those variations adapted to deal with cases where harmonics are involved. Finally, we show that this method is capable of resolving two, almost identical, frequencies present in a given time series, even in cases where the classical periodograms fail to do so.
Facultad de Ciencias Astronómicas y Geofísicas - Materia
-
Astronomía
methods: analytical
methods: data analysis - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/141421
Ver los metadatos del registro completo
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Astronomical time-series analysis : II. A search for periodicity using the Shannon entropyCincotta, Pablo MiguelHelmi, AminaMéndez, Mariano R.Núñez, Josué ArturoVucetich, HéctorAstronomíamethods: analyticalmethods: data analysisWe have recently introduced a new method of searching a time series for periodic variability. The method uses the Shannon entropy to measure the amount of information provided by a set of observations that may contain an underlying periodic signal, as a function of the assumed period of this hypothetical periodic signal. Here we present the analytical arguments that support this algorithm within the broader frame of information theory. We also show that, in the absence of a periodic signal, the entropies follow a Gaussian distribution, which then provides an easy way of assessing the signicance of a positive detection. We test this method using simulated data with non-sinusoidal variability, and we show that it is more sensitivethan the classical periodograms or those variations adapted to deal with cases where harmonics are involved. Finally, we show that this method is capable of resolving two, almost identical, frequencies present in a given time series, even in cases where the classical periodograms fail to do so.Facultad de Ciencias Astronómicas y Geofísicas1999-01-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf582-586http://sedici.unlp.edu.ar/handle/10915/141421enginfo:eu-repo/semantics/altIdentifier/issn/0035-8711info:eu-repo/semantics/altIdentifier/issn/1365-2966info:eu-repo/semantics/altIdentifier/doi/10.1046/j.1365-8711.1999.02128.xinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:03Zoai:sedici.unlp.edu.ar:10915/141421Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:03.442SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
title |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
spellingShingle |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy Cincotta, Pablo Miguel Astronomía methods: analytical methods: data analysis |
title_short |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
title_full |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
title_fullStr |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
title_full_unstemmed |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
title_sort |
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy |
dc.creator.none.fl_str_mv |
Cincotta, Pablo Miguel Helmi, Amina Méndez, Mariano R. Núñez, Josué Arturo Vucetich, Héctor |
author |
Cincotta, Pablo Miguel |
author_facet |
Cincotta, Pablo Miguel Helmi, Amina Méndez, Mariano R. Núñez, Josué Arturo Vucetich, Héctor |
author_role |
author |
author2 |
Helmi, Amina Méndez, Mariano R. Núñez, Josué Arturo Vucetich, Héctor |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Astronomía methods: analytical methods: data analysis |
topic |
Astronomía methods: analytical methods: data analysis |
dc.description.none.fl_txt_mv |
We have recently introduced a new method of searching a time series for periodic variability. The method uses the Shannon entropy to measure the amount of information provided by a set of observations that may contain an underlying periodic signal, as a function of the assumed period of this hypothetical periodic signal. Here we present the analytical arguments that support this algorithm within the broader frame of information theory. We also show that, in the absence of a periodic signal, the entropies follow a Gaussian distribution, which then provides an easy way of assessing the signicance of a positive detection. We test this method using simulated data with non-sinusoidal variability, and we show that it is more sensitivethan the classical periodograms or those variations adapted to deal with cases where harmonics are involved. Finally, we show that this method is capable of resolving two, almost identical, frequencies present in a given time series, even in cases where the classical periodograms fail to do so. Facultad de Ciencias Astronómicas y Geofísicas |
description |
We have recently introduced a new method of searching a time series for periodic variability. The method uses the Shannon entropy to measure the amount of information provided by a set of observations that may contain an underlying periodic signal, as a function of the assumed period of this hypothetical periodic signal. Here we present the analytical arguments that support this algorithm within the broader frame of information theory. We also show that, in the absence of a periodic signal, the entropies follow a Gaussian distribution, which then provides an easy way of assessing the signicance of a positive detection. We test this method using simulated data with non-sinusoidal variability, and we show that it is more sensitivethan the classical periodograms or those variations adapted to deal with cases where harmonics are involved. Finally, we show that this method is capable of resolving two, almost identical, frequencies present in a given time series, even in cases where the classical periodograms fail to do so. |
publishDate |
1999 |
dc.date.none.fl_str_mv |
1999-01-21 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo 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://sedici.unlp.edu.ar/handle/10915/141421 |
url |
http://sedici.unlp.edu.ar/handle/10915/141421 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/0035-8711 info:eu-repo/semantics/altIdentifier/issn/1365-2966 info:eu-repo/semantics/altIdentifier/doi/10.1046/j.1365-8711.1999.02128.x |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
dc.format.none.fl_str_mv |
application/pdf 582-586 |
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reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
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SEDICI (UNLP) |
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Universidad Nacional de La Plata |
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UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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13.070432 |