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Demian Arancibia edited untitled.tex
almost 9 years ago
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\subsubsection{Minimize components complexity}
\subsubsection{Minimize Calibration Software Costs}
\subsubsection{Minimize Calibration Hardware Costs}
\subsubsection{Power Consumption Cost}
\subsubsection{Re-configuration Systems Operation Cost}
\subsection{Minimize Up-front Costs}
\subsubsection{Cost of Antennas Construction}
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. (see \cite{moran})
\subsubsection{Cost of Antenna Electronics}
\subsubsection{Cost of Re-configuration Systems Construction}
\subsubsection{IF Transmission Cost}
Being $B$ average baseline lenght and $N$ number of antennas, we define IF Transmission cost as:
\begin{equation}\label{eq:IF_Tx_cost}
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\begin{equation}\label{eq:correlator}
\text{Correlator cost} = 2N^2 + 112N +1360
\end{equation}
\subsubsection{Power Consumption Cost}
\subsubsection{Re-configuration Systems Operation Cost}
\subsection{Minimize Up-front Costs}
\subsubsection{Quantity of Construction Sites}
\subsubsection{Cost of Data Transmission Network Construction}
\subsubsection{Cost of Antennas Construction}
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. (see \cite{moran})
\subsubsection{Cost of Antenna Electronics}
\subsubsection{Cost of Re-configuration Systems Construction}
\section{Mathematical Formulation}
Thus if we are using vector $x = {\text{antenna diameter}, \text{antenna efficiency}, \}$, the antenna diameter, as the optimization variable the problem we would like to solve is:
\begin{equation*}
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