EPJ Web Conf.
Volume 152, 2017Wide-Field Variability Surveys: A 21st Century Perspective – 22nd Los Alamos Stellar Pulsation – Conference Series Meeting
|Number of page(s)||5|
|Section||Statistical challenges, new approaches and techniques|
|Published online||08 September 2017|
A fast template periodogram
1 Department of Astrophysical Sciences, Princeton University, Princeton NJ 08540
2 eScience Institute, University of Washington, Seattle, WA 98195
Published online: 8 September 2017
This proceedings contribution presents a novel, non-linear extension to the Lomb-Scargle periodogram that allows periodograms to be generated for arbitrary signal shapes. Such periodograms are already known as “template periodograms” or “periodic matched filters,” but current implementations are computationally inefficient. The “fast template periodogram” presented here improves existing techniques by a factor of ∼a few for small test cases (O(10) observations), and over three orders of magnitude for lightcurves containing O(104) observations. The fast template periodogram scales asymptotically as O(HNf log HNf + H4Nf), where H denotes the number of harmonics required to adequately approximate the template and Nf is the number of trial frequencies. Existing implementations scale as O(NobsNf), where Nobs is the number of observations in the lightcurve. An open source Python implementation is available on GitHub.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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