Demian Arancibia edited untitled.tex  almost 9 years ago

Commit id: e16a5ea989c2e8c9cbc556c70ee40c637d0fb9cb

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SEFD = {\frac{T_{sys}}{\frac{\eta_a A}{2k_B}}}  \end{equation}  in units of Janskys where $T_{sys}$ is the system temperature including contributions from receiver noise, feed losses, spillover, atmospheric emission, galactic background and cosmic background, and $k_B = 1.380 \times 10^{-23}$ Joule $K^{-1}$ is the Boltzmann constant (see \cite{sensitivity}).  If we assume N apertures with the same $SEFD$, observing the same bandwidth $\Delta\nu$, during the same integration time $t_{int}$, then the weak-source limit in the sensitivity of a synthesis image of a single polarization is  \begin{equation}\label{eq:sens}  \Delta I_m = {\frac{1}{\eta_s }}{\frac{SEFD}{\sqrt{(N(N-1) \Delta \nu t_{int}}}}