Automatic search for periodic light curves with any kind of shape in unevenly spaced data

Details Automatic search for periodic light curves with any kind of shape in unevenly spaced data Automatic search for periodic light curves with any kind of shape in unevenly spaced data

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...289..404g&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 289, no. 2, p. 404-410

Mathematics

Probability

18

Data Processing, Light Curve, Periodic Functions, Stellar Radiation, Variable Stars, Detection, Least Squares Method, Monte Carlo Method, Probability Distribution Functions, Simulation

Scientific paper

It iw shown that the 'periodogram analysis' commonly used to find sinusoid-like periodicites can be improved to search for variable star light curves of any kind of shape. The use of a particular set of orthogonal fucntions for the Least Square Model fitted at different test frequencies permits the derivation of a generalization of the periodogram and a probability of detection better adapted to the detection of any sort of periodic light curve. The results of of the Carlo simulations are presented to illustrate the advantage of the new method.

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