Scaling of data

The visibilities $C_{ijk}$ out of the correlator are normalized in the following way to get observed visibilities on a temperature scale $T_{ijk}$ :

$$T_{ijk} = \frac{C_{ijk}}{\sqrt{C_{iik}C_{jjk}}} \sqrt{T_{sys}(i)T_{sys}(j)}$$ (58)

In the left side of the right term, cross-correlations are normalized to the total power measured in autocorrelations (and the dependency on $K_c$ disappears), so that a rate of correlation is measured. The right side corresponds to a conversion to $T_a^*$ scale by multiplication by the baseline effective system temperature.