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\subsubsection{Antenna Quantity}  \subsubsection{Antenna Diameter}  \subsubsection{Antenna Efficiency}  System Equivalent Flux Density $SEFD$ is a convenient way to address Antenna Efficiency.   \begin{equation}\label{eq:system_equivalent_flux_density}  SEFD = {\frac{T_{sys}}{\frac{\eta_a A}{2k_B}}}  \end{equation}  where $T_{sys}$ is the system temperature including contributions from receiver noise, feed losses, spillover, atmospheric emission, galactic background and cosmic background, $k_B = 1.380 \times 10^{-23}$ Joule $K^{-1}$ is the Boltzmann constant, $A$ is the antenna collecting area (thus we could also write $\pi \cdot D^2$), and $\eta_a$ is the antenna efficiency with $\eta_a = \eta_{\text{surface efficiency}} \cdot \eta_{\text{aperture blockage}} \cdot \eta_{\text{feed spillover efficiency}} \cdot \eta_{\text{illumination taper efficiency}}$ (see \cite{antenna})  \subsection{Pad Aspects}  \subsubsection{Quantity}  \subsubsection{Position} 
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\section{Performance Objectives}  This section aims to include all the array performance objectives that might be influenced by design choices.  \subsection{Minimize Brightness Sensitivity Limit}  If we assume each aperture has the sameSystem Equivalent Flux Density  $SEFD$, observes 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{SEFD}{\sqrt{2 \Delta \nu \tau_{acc}}}}   \end{equation} 
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