Variations of the square root of the Cramer-Rao bound (CRB) of the centroid velocity (ΔV, left panel) and velocity dispersion (σV, middle panel) in km s−1 as afunction of the column density and the excitation temperature. Right panel: variations of a function of the product of the number of channels (K) and the signal-to-noise ratio . In all three cases, the data are simulated assuming that 13CO(1−0) and 13CO(2− 1) are measured and the unit of the image contours are km s−1. In this simulation, σb = 100 mK, ΔV = 1.1 km s−1 and σV = 0.61 km s−1.
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