Steven T. Myers edited subsection_Calibration_Scans_and_Overhead__.tex  almost 8 years ago

Commit id: 288a332137c26dd235d6517dbee2b7218c9e9b4e

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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}