Table 2.

Ratios of uncertainties for A and LW for absorption and derivative Gaussian lines with the same SNR.

R	Method	Filter	Broadening	SNR	$\frac{{\mathrm{\sigma }}_{\mathrm{A}}^{\text{der}}}{{\mathrm{\sigma }}_{\mathrm{A}}^{\text{abs}}}$	$\frac{{\mathrm{\sigma }}_{\text{Lw}}^{\text{der}}}{{\mathrm{\sigma }}_{\text{Lw}}^{\text{abs}}}$
1	Eq. [22]	-		-	2.21	0.99
2	Monte-Carlo	None	-	5	2.17 (2%)	0.98 (0%)
3	Monte-Carlo	None	-	10	2.20 (0%)	0.99 (1%)
4	Monte-Carlo	None	-	15	2.21 (1%)	0.99 (1%)
5	Monte-Carlo	Butterworth	1%	5	2.07 (-6%)	0.92 (-7%)
6	Monte-Carlo	Butterworth	1%	10	1.95 (-12%)	0.92 (-7%)
7	Monte-Carlo	Butterworth	1%	15	1.93 (-13%)	0.91 (-8%)