Demian Arancibia edited untitled.tex  almost 9 years ago

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\subsubsection{Quantity}  We will use $P$ in this document as the number of pad built for the array. In case re-configuration of the array is envisioned, there might be a bigger number of pads ready for aperture connection to the system.  \subsubsection{Position}  We will use the geographic latitudes and longitudes to establish pad location in this document. We will calculate the length of the possible baselines using pad positions. We will also calculate length and complexity of the roads, fiber and power networks needed using pad positions. We will use $B$ as the maximum array element separation in any single configuration.  \subsection{Receiver Aspects}  \subsubsection{Bandwidth}  Assuming the array is, or can be, instrumented for operation at wavelengths $\lambda$, where $\lambda_{min} \leqslant \lambda \leqslant \lambda_{max}$. Then the bandwidth is $\lambda_{max} - \lambda_{min}.  \subsubsection{Temperature}  \subsubsection{Efficiency}  \subsection{Correlator Aspects} 

as defined in \cite{sensitivity}.  \section{Objectives}\label{sec:obj}  This section aims to include array performance objectives that might be influenced by design variables in \S~\ref{sec:var}.  \subsection{Brightness Sensitivity Limit} \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}) = \frac{\text{correlator sensitivity}}{\text{sesitivity of a perfect analog correlator having the same } t_{int}}  \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:   \begin{equation}\label{eq:system_equivalent_flux_density}  SEFD = {\frac{T_{sys}}{\frac{\eta_a A}{2k_B}}} 

\Delta I_m = {\frac{1}{\eta_s }}{\frac{SEFD}{\sqrt{(N(N-1) \Delta \nu t_{int}}}}   \end{equation}  in units of Janskys per synthesized beam area, with $\eta_s$ most important factor being correlator efficiency $\eta_c$.  \subsection{Field of View}  \subsection{Fourier Plane Coverage} \subsection{Surface Brightness Sensitivity}  \subsection{Operations Costs}  \subsubsection{Components reliability}  \subsubsection{Maintenance complexity} 

\end{equation}  in $K\$$.  \subsubsection{IF Transmission Cost}  Introducing $B$ as average baseline, we We  could use \cite{mmadesign} as an upper limit for IF Transmission Cost: \begin{equation}\label{eq:IF_Tx_cost}  \text{IF Transmission Cost} = 8BN + 30N + 400  \end{equation}