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astro-ph.IM2026
Red noise-based false alarm thresholds for astrophysical periodograms via Whittle's approximation to the likelihood
Amna Ejaz, Sarah Dodson-Robinson, Charlotte Haley
Astronomers who search for periodic signals using Lomb-Scargle periodograms rely on false alarm level (FAL) estimates to identify statistically significant peaks. Although FALs are…
astro-ph.IM2025
The Rayleigh Criterion: Resolution Limits of Astronomical Periodograms
V. Ramirez Delgado, J. S. Caicedo Vivas, S. Dodson-Robinson +1
The Rayleigh criterion determines the resolution limit of a periodogram, which is the minimum frequency separation required to barely resolve two sinusoids. Failing to consider the…