Detecting non-sinusoidal periodicities in observational data using multi-harmonic periodograms
نویسنده
چکیده
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 LombScargle 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 nice precision and robustness of these approximations.
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