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Red Noise–based False Alarm Thresholds for Astrophysical Periodograms via Whittle’s Approximation to the Likelihood

  • Authors: Amna Ejaz, Sarah Dodson-Robinson, Charlotte Haley

Amna Ejaz et al 2026 The Astronomical Journal 171 .

  • Provider: AAS Journals

Caption: Figure 8.

The GLS periodogram of the new time series ﹩{x}_{n}^{{\prime} }﹩ generated by adding a periodic signal to the α Cen B ﹩\mathrm{log}{R}_{\mathrm{HK}}^{{\prime} }﹩ data (X. Dumusque et al. 2012) according to Equation 12. The navy dotted line represents the rotation signal, and the light purple dotted line shows the added sinusoid. The added signal exceeds the 1% FAL/99% significance level from the AR(1) model (blue solid line), but misses the white noise–based 1% FAL (black dashed line).

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