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Demian Arancibia edited untitled.tex
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\subsection{Minimize Brightness Sensitivity Limit}
Let $\eta_s$ be the system efficiency. If we assume each aperture has the same system temperature $T_{sys}$, are observing the same bandwidth $\Delta\nu$, during the same correlator accumulation time $\tau_{acc}$, 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{T_{sys}}{K\sqrt{2 }}{\frac{T_{sys}}{\sqrt{2 \Delta \nu \tau_{acc}}}}
\end{equation}
in units of Janskys per synthesized beam area.
\subsubsection{Minimize System Temperature}
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