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Demian Arancibia edited untitled.tex
almost 9 years ago
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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 $\lambda_{max} -
\lambda_{min}. \lambda_{min}$.
\subsubsection{Temperature}
\subsubsection{Efficiency}
\subsection{Correlator Aspects}
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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:fourier} \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}
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\section{Visualization Tool Notes}
\section{Conversation notes}
\subsection{Engineering cost vs. Calibration cost}
Tricky because you can compensate antenna quality with software. So the equations must capture this trade off.