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\section{Performance Objectives}  This section aims to include all the array performance objective that might be influenced by design choices.  \subsection{Minimize Brightness Sensitivity Limit}  Let $\eta_s$ be the system efficiency. If we assume each aperture has the same System Equivalent Flux Density $SEFD$, 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{SEFD}{\sqrt{2 \Delta \nu \tau_{acc}}}}   \end{equation}  in units of Janskys per synthesized beam area.   with $\eta_s$ most important factor being correlator efficiency $\eta_c = \frac{correlator sensitivity}{sesitivity of a perfect analog corrlator having the same \Delta t}$.  \subsubsection{Minimize SEFD}  \begin{equation}\label{eq:system_equivalent_flux_density}  SEFD = {\frac{T_{sys}}{\frac{\eta_a A}{2k_B}}} 
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\begin{equation}\label{eq:antenna_efficiency}  \eta_a = \eta_{surface} * \eta_{blockage} * \eta_{spillover} * \eta_{taper}  \end{equation}  \subsubsection{Maximize System Efficiency}  \begin{equation}\label{eq:system_efficiency}  \eta_s = {\frac{1}{\eta_s }}{\frac{T_{sys}}{\sqrt{2 \Delta \nu \tau_{acc}}}}   \end{equation}  \subsection{Minimize Operations Costs}  \subsubsection{Minimize Maintenance Costs}  \subsubsection{Minimize Calibration Costs} 
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