Comparison between the Lin- and Log-COSEBIs results. These plots show one of our consistency checks. We consider the LS parameter with a single (top panel) and two galaxy redshift distributions (bottom panel), including all of the 7 parameters. Apart from very small numerical inaccuracies, both sets of COSEBIs saturate to the same value, as expected. There are two solid lines in each plot. The line with the higher value shows the value of Log-COSEBIs at n_max = 20, and the other line shows the value of f as obtained from the shear 2PCFs. The slightly smaller value of f in the latter case (this difference is not visible in the plot) is related to the fact that the analysis from the shear 2PCFs implicitly assume the absence of B-modes, and thus contains information from very large-scale modes which, however, cannot be uniquely assigned to either E- or B-modes. The comparison of the two plots shows that dividing the galaxies into two redshift bins not only increases the information content of the Fisher analysis but also decreases the number of COSEBIs modes needed.