http://arxiv.org/abs/1711.06075
I present PhDCoP – a new periodicity metric, based on the Distance Correlation concept of Gabor Szekely. For each trial period PhDCoP calculates the distance correlation between the data samples and their phases. PhDCoP requires adaptation of the Szekely distance correlation to circular variables (phases). The resulting periodicity metric is best suited to sparse datasets, and it performs better than other methods for sawtooth-like periodicities. These include Cepheid and RR-Lyrae light curves, as well as radial velocity curves of eccentric spectroscopic binaries. The performance of PhDCoP in other contexts is almost as good as that of the Generalized Lomb-Scargle periodogram. The concept of phase distance correlation can be adapted also to astrometric data, and it has the potential to be suitable also for large evenly-spaced datasets, after some algorithmic perfection.
S. Zucker
Fri, 17 Nov 17
20/73
Comments: 5 pages, 3 figures (submitted for publication in MNRAS Letters)
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