Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy

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 hypothe...

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Detalles Bibliográficos
Autores principales: Cincotta, Pablo Miguel, Helmi, Amina, Méndez, Mariano R., Núñez, Josué Arturo, Vucetich, Héctor
Formato: Articulo
Lenguaje:Inglés
Publicado: 1999
Materias:
Astronomía
methods: analytical
methods: data analysis
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/141421
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-141421
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
methods: analytical
methods: data analysis
spellingShingle Astronomía
methods: analytical
methods: data analysis
Cincotta, Pablo Miguel
Helmi, Amina
Méndez, Mariano R.
Núñez, Josué Arturo
Vucetich, Héctor
Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy
topic_facet Astronomía
methods: analytical
methods: data analysis
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.
format Articulo
Articulo
author Cincotta, Pablo Miguel
Helmi, Amina
Méndez, Mariano R.
Núñez, Josué Arturo
Vucetich, Héctor
author_facet Cincotta, Pablo Miguel
Helmi, Amina
Méndez, Mariano R.
Núñez, Josué Arturo
Vucetich, Héctor
author_sort Cincotta, Pablo Miguel
title Astronomical time-series analysis : II. A search for periodicity using the Shannon entropy
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
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/141421
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AT mendezmarianor astronomicaltimeseriesanalysisiiasearchforperiodicityusingtheshannonentropy
AT nunezjosuearturo astronomicaltimeseriesanalysisiiasearchforperiodicityusingtheshannonentropy
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bdutipo_str Repositorios
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