deletions | additions
diff --git a/untitled.tex b/untitled.tex
index f88e5aa..111c648 100644
--- a/untitled.tex
+++ b/untitled.tex
...
\section{Overview}\label{sec:intro}
This document presents a parametric model to help design an Interferometric Array.
One aspect of Array Design is the array performance The value vs.
total cost trade-off
is an inherent aspect in many of the decisions involved in the design process. This document focuses in the Multiple Objective Analysis problem that
emerges from goals and parameters selection. the trade-off constitutes. This document describes design parameters in \S~\ref{sec:var} and
their mathematical relationship with typical array performance a set of value objectives
and cost estimating functions for them in \S~\ref{sec:obj}.
A
spreadsheet python code that uses these design parameters and value relationships to enable analysis of the Pareto front is introduced in \S~\ref{sec:python}. This
spreadsheet generates data to visualize a pareto front of feasible arrays, given a selection of objectives and associated goals. This facilitates an analysis based in the Multi-Objective Visual Analytics (MOVA) code is consistent with MOVA framework
for complex engineered systems proposed in \cite{mova}.
\section{Parameters}\label{sec:var}
This section aims to include all relevant design parameters that might influence the selected performance objectives in \S~\ref{sec:obj}.
\subsection{Antenna Aspects}
\subsubsection{Collecting Area}
We will use $A$
[$m^2$] in this document as each array element collecting area (thus we could also write $\pi \cdot D^2$, with $D$
[$m$] being the dish diameter).
\subsubsection{Efficiency}
We will use $\eta_a$ in this document as the antenna efficiency with
\begin{equation}\label{eq:antenna_efficiency}
...
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}
We will use
$M$ $R$ as the number of frequency bands, being
$M_i$ $R_i$ the different frequency bands. If the array bandwidth
covered by all $M_i$ together is
$f_{max} $\lambda_{max} -
f_{min}$, \lambda_{min}$, it is useful for our analysis to use wavelength $\lambda =
\frac{c}{f_{max}} = \lambda_{min}$ in [$mm$]. \lambda_{min}$.
\subsubsection{Temperature}
\subsubsection{Efficiency}
\subsection{Correlator Aspects}
...
in units of Janskys per synthesized beam area, with $\eta_s$ most important factor being correlator efficiency $\eta_c$.
\subsection{Surface Brightness Sensitivity}
\subsection{Operations Costs}
\subsubsection{Site Operations costs}
\subsubsection{Components reliability}
\subsubsection{Maintenance complexity}
\subsubsection{Calibration Software Costs}
...
\subsubsection{Power Consumption Cost}
\subsubsection{Re-configuration Systems Operation Cost}
\subsection{Up-front Costs}
\subsubsection{Construction Management}
\subsubsection{Site development cost} \subsubsection{Cost of
Antennas} Antennas Construction}
According to \cite{moran}, a commonly used rule of thumb for the cost of an antenna is that it is proportional to $D^{\alpha}$, where $\alpha \approx 2.7$ for values of $D$ from a few meters to tens of meters. For
$N$ antennas
of diameter $D$ meters with accuracy $\frac{\lambda}{16}$,
where $\lambda$ is in millimeters we could use \cite{mmadesign} as an upper limit for Antenna construction cost.
\begin{equation}\label{eq:antenna_cost}
\text{Antenna Cost} = \frac{890N(\frac{D}{10})^{2.7}}{(\lambda^{0.7})} + 500
\end{equation}
...
\subsubsection{Cost of Re-configuration Systems Construction}
\section{Data for visual analytics - Python Implementation}\label{sec:python}
This section presents a python code that produces data in the right format for performing visual analytics, consistent with variables in \S~\ref{sec:var} and objectives in \S~\ref{sec:obj}.
\subsubsection{Integration and Verification Costs}
\subsubsection{Validation Costs}
\section{Visualization Tool Notes}
\section{Conversation notes}
\subsection{Engineering cost vs. Calibration cost}
...
