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Steven T. Myers edited subsection_Calibration_Scans_and_Overhead__.tex
almost 8 years ago
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diff --git a/subsection_Calibration_Scans_and_Overhead__.tex b/subsection_Calibration_Scans_and_Overhead__.tex
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The fixed flux and polarization calibration plus the first gain calibration scan in our simple model above provides a "fixed" calibration (FCAL) baseline. Assuming a single leakage scan on an unpolarized source, this is nominally 30min using the assumptions above, but could be in the range 20--36m. This gives a fixed overhead depending on block duration (or total duration sharing the same fixed calibration). These are tabulated in Table~\ref{tab:overheadFCAL}.
\begin{table}[h]
\begin{center}
\caption{\label{tab:overheadFCAL}Fixed overheads for various assumed fixed calibration (FCAL)
durations. durations $T_{FCAL}$. ``Block Duration'' refers to the length of a single self-contained SB or the sum of SB lengths that can share a single fixed calibration.}
\begin{tabular}{ccccc}
{\bf Block Duration (hrs)} & {\bf FCAL OH
(20m)} ($T_{FCAL}=$20m)} & {\bf FCAL OH
(25m)} ($T_{FCAL}=$25m)} & {\bf FCAL OH
(30m)} ($T_{FCAL}=$30m)} & {\bf FCAL OH
(36m} ($T_{FCAL}=$36m} \\
4.0 & 9.1\% & 11.6\% & 14.3\% & 17.6\% \\
6.0 & 5.9\% & 7.5\% & 9.1\% & 11.1\% \\
8.0 & 4.3\% & 5.5\% & 6.7\% & 8.1\% \\
...
\end{center}
\end{table}
To obtain the final overall overhead, we must multiply the other overheads expressed as a factor fOH = 1 + OH (e.g. fOH=1.033 for OH=3.3\%): TOT-fOH = FCAL-fOH x GCAL-fOH x OTF-fOH. We obtain the final overheads in Table~\ref{tab:overheadALL} using representative choices from the above
tables. tables enumerated in Table~\ref{tab:overheadALL}.
\begin{table}[h]
\begin{center}
\caption{\label{tab:overheadALL}Final total overheads for different
scenarios.} scenarios: CASE A (}
\begin{tabular}{cccc}
{\bf Block Duration (hrs)} & {\bf Final OH (CASE A)} & {\bf FCAL OH (CASE B)} & {\bf FCAL OH (CASE C)} \\
4.0 &
22.4\% 21.0\% &
30.5\% 28.1\% &
26.5\% 31.2\% \\
\end{tabular}
\end{center}
\end{table}
\begin{table}[h]
\begin{center}
\caption{\label{tab:overheadCASES}Scenarios for calculating overheads in Table~\ref{tab:overheadALL}. All these cases assume a $t_{OTF}=$6s turnaround and a OTF stripe length of 10$^\circ$ at nomial scan speed $\dot{\theta}=3.3^\prime$/s.
\begin{tabular}{cccc}
{\bf Case} & {\bf } & {\bf FCAL Duration $T_{FCAL}$ (min)} & {\bf GCAL Cadence $\Delta t_{GCAL}$ (min)} & {\bf GCAL Duration $t_{GCAL}$ (sec)} \\
A & 20 & 15 & 60 \\
B & 25 & 15 & 90 \\
C & 30 & 15 & 90 \\
\end{tabular}
\end{center}
\end{table}