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Demian Arancibia edited untitled.tex
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This section aims to include array performance objectives that might be influenced by design variables in \S~\ref{sec:var}.
\subsection{Fourier Plane Coverage}
As derived in \cite{design}, the antenna diameter determines its beam size $\theta_{ant} \approx \frac{\lambda}{D}$. If the plane area $\frac{B}{\lambda}$ is divided in cells of size $\frac{D}{\lambda}$ then
\begin{equation}\label{eq:correlator_efficiency}
\eta_c(t_{int}) \begin{equation}\label{eq:fourier}
N_{occ} =
\frac{\text{correlator sensitivity}}{\text{sesitivity of a perfect analog correlator having the same } t_{int}} \pi {\frac{B}{D}}^2
\end{equation}
\subsection{Point Source Sensitivity}
An overall measure of performance is the System Equivalent Flux Density, $SEFD$, defined in \cite{sensitivity} as the flux density of a source that would deliver the same amount of power:
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