Illustration of the elimination of the Gibbs oscillations at the edges of the dataset by using AR modeling. Bottom: input dataset (black line: noisy sinusoidal with transits), Fourier fit (yellow). Transits are not visible at this scale. Middle panels: residual signal after subtracting the best Fourier fit and the best AR model (black and red dots, respectively). The green dots indicate where the Fourier fit was accepted. Uppermost panel: residual time series obtained by Fourier (black) and AR modeling (light blue). See text for the main signal parameters.