Detecting non-sinusoidal periodicities in observational data using multi-harmonic periodograms
| dc.creator | Baluev, Roman V. | |
| dc.date | 2008-11-06 | |
| dc.date | 2009-02-13 | |
| dc.date.accessioned | 2026-07-07T13:13:21Z | |
| dc.date.available | 2026-07-07T13:13:21Z | |
| dc.description | We address the problem of assessing the statistical significance of candidate periodicities found using the so-called `multi-harmonic' periodogram, which is being used for detection of non-sinusoidal signals, and is based on the least-squares fitting of truncated Fourier series. The recent investigation (Baluev 2008) made for the Lomb-Scargle periodogram is extended to the more general multi-harmonic periodogram. As a result, closed and efficient analytic approximations to the false alarm probability, associated with multi-harmonic periodogram peaks, are obtained. The resulting analytic approximations are tested under various conditions using Monte Carlo simulations. The simulations showed a suitable precision and robustness of these approximations. | |
| dc.description | 8 pages, 6 figures, 1 table. Accepted to MNRAS | |
| dc.identifier | https://arxiv.org/abs/0811.0907 | |
| dc.identifier | http://arxiv.org/abs/0811.0907 | |
| dc.identifier | Mon. Not. R. Astron. Soc., 2009, V. 395, Issue 3, P. 1541-1548 | |
| dc.identifier | doi:10.1111/j.1365-2966.2009.14634.x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229861 | |
| dc.subject | Astrophysics | |
| dc.title | Detecting non-sinusoidal periodicities in observational data using multi-harmonic periodograms | |
| dc.type | text |