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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 2.

Top panel: GLS periodogram ﹩{\hat{S}}^{LS}({f}_{k})﹩ (blue) of a simulated AR(1) time series (Equation (1) with ϕ = 0.75 and σ = 1). The dashed red line shows the analytic power spectrum S(f) (Equation (5)) of the AR(1), ϕ = 0.75, σ = 1 process. Bottom panel: AR(1) power spectrum for different values of ϕ.

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