Simulated pseudo-spectra (black dots) of Hα+[NII] lines with different widths after being convolved to the TF spectral response. The green lines represent the best Gaussian fit to each pseudo-spectrum and the titles describe the corresponding FWHM. The red dashed lines represent the pseudo-continuum, f_cont, defined as the median value of the pseudo-spectrum points that remain within 2σ of the median value of the whole pseudo-spectrum. The red continuous lines represent f_cont + 2σ_cont, where σ_cont is the standard deviation of the pseudo-continuum points. The automatic algorithm used in Ramón-Pérez et al. (2019) efficiently detects broad lines as emitting lines for widths up to ∼84 Å. In the left panel, with a FHWM of 64.02 Å, the broad line is detected. On the contrary, the line in the right panel is so broad (FWHM of 84.78 Å) that it is not recognised.