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} 

\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*}