SIMBAD references

2009MNRAS.395.1541B - Mon. Not. R. Astron. Soc., 395, 1541-1548 (2009/May-3)

Detecting non-sinusoidal periodicities in observational data using multiharmonic periodograms.


Abstract (from CDS):

We address the problem of assessing the statistical significance of candidate periodicities found using the so-called `multiharmonic' 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 author's investigation made for the Lomb-Scargle periodogram is extended to the more general multiharmonic periodogram. As a result, closed and efficient analytic approximations to the false alarm probability, associated with multiharmonic periodogram peaks, are obtained. The resulting analytic approximations are tested under various conditions using Monte Carlo simulations. The simulations showed a nice precision and robustness of these approximations.

Abstract Copyright: © 2009 The Author. Journal compilation © 2009 RAS

Journal keyword(s): methods: data analysis - methods: statistical - surveys

Simbad objects: 2

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