ASTRONOMICAL TIME-SERIES ANALYSIS .1. A SEARCH FOR PERIODICITY USING INFORMATION ENTROPY

Citation
Pm. Cincotta et al., ASTRONOMICAL TIME-SERIES ANALYSIS .1. A SEARCH FOR PERIODICITY USING INFORMATION ENTROPY, The Astrophysical journal, 449(1), 1995, pp. 231-235
Citations number
19
Categorie Soggetti
Astronomy & Astrophysics
Journal title
ISSN journal
0004637X
Volume
449
Issue
1
Year of publication
1995
Part
1
Pages
231 - 235
Database
ISI
SICI code
0004-637X(1995)449:1<231:ATA.AS>2.0.ZU;2-W
Abstract
In this paper we present the application of a new algorithm that takes advantage of the information entropy's properties for the search of p eriodicity in astronomical time series. It is based on the idea that t he light curve constructed using the correct period is ordered, while all the other light curves are not. All other methods based on statist ical analysis of the ''appearance'' of the light curve lack in mathema tical proofs; on the contrary, the one presented here has a consistent mathematical formulation, while it is computationally very fast, simp le, and intuitive. In this paper we show the results of applying this algorithm to synthetic data and to real observations of two variable s tars.