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\lhead{\scshape Marka et al., 2017}
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   \fancyhead[C]{Original version at \tt http://iram-institute.org/medias/uploads/mrtcal-check.pdf}
   \fancyfoot[C]{\bfseries\thepage {}}
}

%
\providecommand{\ie}{{\em i.e.}}%
\providecommand{\eg}{{\em e.g.}}%
\providecommand{\cf}{cf.}%
\providecommand{\arcmin}{\,{$^{\prime}$}}%
\providecommand{\arcsec}{\,$^{\prime\prime}$}%
\providecommand{\degr}{\,$^{\circ}$}%
\providecommand{\TA}{$\mathrm{T_A^*}$}%
\providecommand{\Tmb}{$\mathrm{T_{mb}}$}%
\providecommand{\Tsys}{$\mathrm{T_{sys}}$}%
\providecommand{\Tcal}{$\mathrm{T_{cal}}$}%
\providecommand{\Feff}{$\mathrm{F_{eff}}$}%
\providecommand{\Beff}{$\mathrm{B_{eff}}$} 

%
\providecommand{\gildas}{\mbox {\bf GILDAS}}%
\providecommand{\mrtcal}{\mbox {\bf MRTCAL}}%
\providecommand{\mira}{\mbox {\bf MIRA}}%
\providecommand{\class}{\mbox {\bf CLASS}} 



\setlength{\LTcapwidth}{460pt} 

%
\providecommand{\TabObs}{%
  \begin{table}[t]
    {\small
      \caption{\small Observing setups. The covered frequency range is indicated for FTS\,200, 
        and the center frequency of the 120\,MHz wide windows for VESPA. The last column lists 
        the observing modes for the according setup (with WSW wobbler switching, FSW frequency 
        switching, and PSW position switching).}
      \label{tab:obs}
      \smallskip
      \begin{tabular}[5]{lllll}
        \hline
        Tuning 		& Setup	 	& FTS200 coverage 		   & VESPA center	 & Observing \\
                        & name	 	& [GHz]		                   & [GHz]		 & mode\\
        \hline
        E150 150.000 UI & POINT2MM	& 147.70--155.48	 	   &			 & WSW \\
        E150 176.500 UI & L170250	& 158.52--166.30 \& 174.20--181.98 & 176.553		 & WSW \\
        E230 230.500 UI & L224250	& 212.52--220.30 \& 228.20--235.98 & 217.9102 \& 230.538 & WSW, PSW, FSW\\
        E330 345.139 UI & L338890	& 342.84--350.62		   & 345.94		 & WSW \\
        \hline
      \end{tabular}}
  \end{table}} 

%
\providecommand{\TabLines}{%
  \begin{longtable}[5]{lllll}
    \caption{\small List of lines used in the comparison (signal-to-noise-ratio
      $>$\  4, not blended).} %
    \label{tab:lines} \\
    \hline %
    Setup & Rest frequency [MHz] & Species & Transition & Reference \\
    \hline %
    \endfirsthead
    %
    \multicolumn{4}{c}%
    {{\bfseries \tablename\ \thetable{} -- continued from previous page}} \\
    \hline %
    Setup & Rest frequency [MHz] & Species & Transition & Reference \\
    \hline %
    \endhead
    \hline \multicolumn{4}{r}{{Continued on next page}} \\\hline
    \endfoot
    \hline
    \endlastfoot
    % 147.7-155.48 GHz
    E150 POINT2MM & 149106.9  &  C$_3$H             &  $^2\Pi_{3/2}$, J=13/2-11/2 a                 & C2000 \\
                  & 149212.6  &  C$_3$H             &  $^2\Pi_{3/2}$, J=13/2-11/2 b                 & C2000 \\
                  & 150820.6  &  C$_3$H$_2$\          &  4$_{0,4}$-3$_{1,3}$\  Para                     & C2000 \\
                  & 150851.9  &  C$_3$H$_2$\          &  4$_{1,4}$-3$_{0,3}$\  Ortho                    & C2000 \\
                  & 151375.9  &  C$_4$H             &  $\nu_7$=1 $^2\Pi_{1/2}$, J=31/2-29/2 a       & C2000 \\
                  & 152243.6  &  C$_4$H             &  N=16-15 a                                    & C2000 \\
                  & 152282.1  &  C$_4$H             &  N=16-15 b                                    & C2000 \\
                  & 152879.9  &  C$_4$H             &  $\nu_7$=1 $^2\Pi_{3/2}$, J=33/2-31/2 a       & C2000 \\
                  & 152986.2  &  C$_4$H             &  $\nu_7$=2 l=0 $^2\Sigma$, N=16-15 a          & C2000 \\
                  & 153042.4  &  C$_4$H             &  $\nu_7$=2 l=0 $^2\Sigma$, N=16-15 b          & C2000 \\
                  & 153334.9  &  C$_4$H             &  $\nu_7$=1 $^2\Pi_{3/2}$, J=33/2-31/2 b       & C2000 \\
                  & 154657.3  &  HC$_3$N            &  J=17-16                                      & C2000 \\
    \hline
    % 158.52-166.3 & 174.2-181.98 GHz
    E150 L170250  & 158903.0  &  Si$^{34}$S         &  J=9-8                                        & C2000 \\
                  & 160312.1  &  ClAl               &  J=11-10                                      & C2000 \\
                  & 160375.2  &  $^{29}$SiS         &  J=9-8                                        & A2012 \\
                  & 160957.1  &  C$_4$H             &  $\nu_7$=1 $^2\Pi_{1/2}$, J=33/2-31/2 a       & C2000 \\
                  & 161459.8  &  C$_4$H             &  $\nu_7$=1 $^2\Pi_{1/2}$, J=33/2-31/2 b       & C2000 \\
                  & 161758.1  &  C$_4$H             &  N=17-16 a                                    & C2000 \\
                  & 161796.6  &  C$_4$H             &  N=17-16 b                                    & C2000 \\
                  & 162547.7  &  C$_4$H             &  $\nu_7$=2 l=0 $^2\Sigma$, N=17-16 a          & C2000 \\
                  & 163376.7  &  SiS                &  J=9-8                                        & C2000 \\
                  & 163753.4  &  HC$_3$N            &  J=18-17                                      & C2000 \\
                  & 164069.1  &  SiC$_2$\             &  7$_{2,6}$-6$_{2,5}$\                           & C2000 \\
                  & 164770.5  &  SiC$_2$\             &  7$_{6,2}$-6$_{6,1}$\  \& 7$_{6,1}$-6$_{6,0}$\    & C2000 \\
                  & 164868.0  &  AlF                &  J=5-4                                        & C2000 \\
                  & 174806.8  &  C$_2$H             &  N=2-1, J=3/2-3/2                             & CDMS \\
                  & 175084.6  &  $^{30}$SiS         &  J=10-9                                       & A2012 \\
                  & 176554.7  &  Si$^{34}$S         &  J=10-9                                       & A2012 \\
                  & 179446.5  &  SiC$_2$\             &  J=8$_{0,8}$-7$_{0,7}$\                         & CDMS \\
                  & 180786.0  &  C$_4$H             &  N=19-18, J=39/2-37/2                         & CDMS \\
                  & 180824.5  &  C$_4$H             &  N=19-18, J=37/2-35/2                         & CDMS \\
                  & 181324.8  &  HNC                &  J=2-1                                        & CDMS \\
                  & 181525.2  &  SiS                &  J=10-9                                       & A2012 \\
                  & 181944.9  &  HC$_3$N            &  J=20-19                                      & CDMS \\
    \hline
    % 212.52-220.3 & 228.2-235.98 GHz
    E230 L224250  & 213208.0  &  SiC$_2$\             &  J=9$_{4,6}$-8$_{4,5}$\                         & CDMS \\
                  & 213292.3  &  SiC$_2$\             &  J=9$_{4,5}$-8$_{4,4}$\                         & CDMS \\
                  & 213816.2  &  $^{29}$SiS         &  J=12-11                                      & A2012 \\
                  & 214385.7  &  $^{29}$SiO         &  J=5-4                                        & A2012 \\
                  & 214741.0  &  Si$^{33}$S         &  J=12-11                                      & A2012 \\
                  & 216278.8  &  c-C$_3$H$_2$\        &  J$_{\mathrm {K_a,K_c}}$=3$_{3,0}$-2$_{2,1}$\   & T2010 \\
                  & 217104.8  &  SiO                &  J=5-4                                        & A2012 \\
                  & 218324.7  &  HC$_3$N            &  J=24-23                                      & T2010 \\
                  & 218560.5  &  AlCl               &  J=15-14                                      & T2010 \\
                  & 218837.0  &  C$_4$H             &  N,J=23,47/2 - 22,45/2                        & T2010 \\
                  & 218875.4  &  C$_4$H             &  N,J=23,45/2 - 22,43/2                        & T2010 \\
                  & 218972.8  &  C$_4$H             &  $\nu_7$\  =1$^1$\  N,J=23,45/2 - 22,43/2, f      & T2010 \\
                  & 219099.3  &  C$_4$H             &  $\nu_7$\  =1$^1$\  N,J=23,47/2 - 22,45/2, e      & T2010 \\
                  & 219560.4  &  C$^{18}$O          &  J=2-1                                        & T2010 \\
                  & 219767.3  &  C$_4$H             &  $\nu_7$\  =1$^1$\   N,J=23,47/2 - 22,45/2, f     & T2010 \\
                  & 230538.0  &  CO                 &  J=2-1                                        & T2010 \\
                  & 230793.9  &  AlF                &  J=7-6                                        & T2010 \\
                  & 231220.7  &  $^{13}$CS          &  J=5-4                                        & T2010 \\
                  & 231626.7  &  $^{29}$SiS         &  J=13-12                                      & T2010 \\
                  & 232534.1  &  SiC$_2$\             &  J$_{\mathrm {K_a,K_c}}$=10$_{2,9}$-9$_{2,8}$\  & T2010 \\
                  & 232628.6  &  Si$^{33}$S         &  J=13-12                                      & T2010 \\
                  & 232116.3  &  AlCl               &  J=16-15                                      & T2010 \\
                  & 234534.0  &  SiC$_2$\             &  J$_{\mathrm {K_a,K_c}}$=10$_{8,2}$-9$_{8,1}$\  \& 10$_{8,3}$-9$_{8,2}$\  & T2010 \\
                  & 235713.0  &  SiC$_2$\             &  J$_{\mathrm {K_a,K_c}}$=10$_{6,5}$-9$_{6,4}$\  \& 10$_{6,4}$-9$_{6,3}$\  & T2010 \\
                  & 235961.4  &  SiS                &  J=13-12                                      & T2010 \\
    \hline
    % 342.84-350.62 GHz
    E330 L3338890 & 342882.8  &  CS                 &  J=7-6                                        & A2012 \\
                  & 342980.9  &  $^{29}$SiO         &  J=8-7                                        & A2012 \\
                  & 344779.5  &  SiS                &  J=19-18                                      & A2012 \\
                  & 344906.0  &  SiC$_2$\             &  16$_{0,16}$-15$_{0,15}$\                       & P2011 \\
                  & 345339.8  &  H$^{13}$CN         &  J=4-3                                        & P2011 \\
                  & 345795.9  &  CO                 &  J=3-2                                        & P2011 \\
                  & 346109.9  &  SiC$_2$\             &  14$_{2,12}$-13$_{2,11}$\                       & P2011 \\
                  & 347330.6  &  SiO                &  J=8-7                                        & A2012 \\
                  & 349337.7  &  C$_2$H             &  N=4-3, J=9/2-7/2                             & P2011 \\
                  & 349399.3  &  C$_2$H             &  N=4-3, J=7/2-5/2                             & P2011 \\
    \hline
  \end{longtable}
  C2000: Cernicharo, J.; Gu\'elin, M.; Kahane, C., 2000, AASS\,142, p.181--215\\
  % A $\lambda$2\,mm molecular line survey of the C-star envelope IRC+10216
  A2012: Ag\'undez, M.; Fonfr\'ia, J.P.; Cernicharo, J. et al. 2012, A\&A\,543, 26\\
  % Molecular abundances in the inner layers of IRC +10216
  T2010: Tenenbaum, E.D.; Dodd, J.L.; Milam, S.N. et al. 2010, ApJS\,190, p.348--417\\
  % The Arizona Radio Observatory 1 mm Spectral Survey of IRC +10216 and VY Canis Majoris (215-285 GHz)
  P2011: Patel, N.A.; Young, K.H.; Gottlieb, C.A. et al. 2011, ApJS\,193, pp.65\\
  % An Interferometric Spectral-line Survey of IRC+10216 in the 345 GHz Band
  CDMS: M\"uller, H.S.P.; Thorwirth, S.; Roth, D.A. et al. 2001, A\&A\,370, L49-L52\\
  % The Cologne Database for Molecular Spectroscopy
} 

%
\providecommand{\FigCalibBandwidthOTFone}{%
  \begin{figure}[t]
    \centering %
    \includegraphics[width=0.7\textwidth]{mrtcal-check-fig-1}
    \caption{Spectra averaged over a 15 minute On-The-Fly scan observed
      with a combination of E090 and FTS200 under average summer weather
      ($\sim 7$\,mm of precipitable water vapor). The simultaneously
      observed LSB and USB spectra are shown on the bottom panel and a
      5\,GHz window near the 3\,mm band edge is zoomed on the top
      panel. The calibration parameters are here derived and applied by
      \mbox {\bf MRTCAL}{} per natural hardware unit (1.35\,GHz bandwidth for each FTS
      unit, i.e., same as MIRA calibration scheme).}
    \label{fig:calib-bandwidth-otf:1}
  \end{figure}} 

%
\providecommand{\FigCalibBandwidthOTFtwo}{%
  \begin{figure}[b]
    \centering %
    \includegraphics[width=0.7\textwidth]{mrtcal-check-fig-2}
    \caption{Same as Fig.~\ref{fig:calib-bandwidth-otf:1} except that the
      calibration parameters are now linearly interpolated by being
      applied.}
    \label{fig:calib-bandwidth-otf:2}
  \end{figure}} 

%
\providecommand{\FigCalibBandwidthOTFthree}{%
  \begin{figure}[t]
    \centering %
    \includegraphics[width=0.7\textwidth]{mrtcal-check-fig-3}
    \caption{Spectra averaged over a 15 minute On-The-Fly scan observed
      with a combination of E090 and FTS200 under average summer weather
      ($\sim 7$\,mm of precipitable water vapor). The simultaneously
      observed LSB and USB spectra are shown on the bottom panel and a
      5\,GHz window near the 3\,mm band edge is zoomed on the top
      panel. The calibration parameters are here derived and applied by
      \mbox {\bf MRTCAL}{} every 20\,MHz.}
    \label{fig:calib-bandwidth-otf:3}
  \end{figure}} 

%
\providecommand{\FigCalibBandwidthOTFfour}{%
  \begin{figure}[b]
    \centering %
    \includegraphics[width=0.7\textwidth]{mrtcal-check-fig-4}
    \caption{Same as Fig.~\ref{fig:calib-bandwidth-otf:3} except that the
      calibration parameters are now linearly interpolated by being
      applied. This spectra is the default delivered by \mbox {\bf MRTCAL}{}.}
    \label{fig:calib-bandwidth-otf:4}
  \end{figure}} 

%
\providecommand{\FigRawComparisonFTS}{%
  \begin{figure}[t]
    \includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5a}
    \hfill
    \includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5b}\\
    \includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5c}
    \hfill
    \includegraphics[width=5.8cm,angle=-90]{mrtcal-check-fig-5d}
    \caption{Comparison of unprocessed (except for blanking of spikes and a
      spurious feature in E3) FTS200 spectra calibrated with \mbox {\bf MIRA}{} and
      \mbox {\bf MRTCAL}{}. The spectra are overplotted in black and red in the lower
      panels. The difference spectrum is displayed in the upper panels.
      Both polarizations and all scans (4 scans for setup E1~POINT2MM and
      E3~L338890, 6 for E1~L170250 and 10 for E230~L224250) have been
      averaged for each setup and observing mode, indicated in the upper
      right of each plot. All visible narrow features are spectral lines.}
    \label{fig:spectra-raw-fts}
  \end{figure}} 

%
\providecommand{\FigRawComparisonVespa}{%
  \begin{figure}[t]
    \includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-6a}\hfill
    \includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-6b}
    \caption{Two examples of unprocessed VESPA spectra calibrated with
      \mbox {\bf MIRA}{} and \mbox {\bf MRTCAL}{} (black and red in the lower panels).  The upper
      panels show the difference spectrum. Both polarizations and all
      consistent scans (same setup and observing mode) have been averaged.
      The three central channels of each spectrum have been masked as
      spikes are expected in the center of the three adjacent 40\,MHz units
      for VESPA due to technical reasons (Paubert 2002).}
    \label{fig:spectra-raw-vespa}
  \end{figure}} 

%
\providecommand{\FigFluxComparison}{%
  \begin{figure}[t]
    \includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7a}\hfill
    \includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7b} \\
    \includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7c} \hfill
    \includegraphics[height=0.49\textwidth,angle=-90]{mrtcal-check-fig-7d}
    \caption{Relative difference of integrated line intensities in
      \mbox {\bf MRTCAL}{} and \mbox {\bf MIRA}{}-calibrated spectra versus line center frequency
      for the four frequency setups. One data point is shown per line and
      scan. Vertical bars indicate the 3$\sigma$\  uncertainties estimated
      from the baseline rms and number of channels in the line. Horizontal
      blue solid and dotted lines denote the mean value and 1$\sigma$
      standard deviation of all points of the respective setup.}
    \label{fig:diff-vs-freq-all-setups}
  \end{figure}} 

%
\providecommand{\FigTsysComparison}{%
  \begin{figure}[t]
    \includegraphics[height=\textwidth,angle=-90]{mrtcal-check-fig-8}
    \caption{System temperature derived by \mbox {\bf MIRA}{} (dashed black horizontal
      lines, one per 1.35\,GHz hardware unit of the FTS200) and \mbox {\bf MRTCAL}{}
      (dashed blue line) for the upper outer subband of setup
      E150/L170250. The respective spectra are shown with solid lines.}
    \label{fig:e1-tsys-spectra}
  \end{figure}} 

%
\providecommand{\FigLineRatios}{%
  \begin{figure}[t]
    \begin{minipage}{0.7\hsize}
      \includegraphics[width=\linewidth]{mrtcal-check-fig-9}
    \end{minipage}
    \begin{minipage}{0.3\hsize}
      \vspace*{-1cm}\caption{Ratio of integrated line intensities in
        \mbox {\bf MIRA}{} and \mbox {\bf MRTCAL}{}-calibrated spectra (black) at the upper
        frequency end of setup E150/L170250, compared with the ratios of
        system temperature (red) at the line frequencies.}
      \label{fig:e1-ratios-spectra-tsys}
    \end{minipage}
  \end{figure}} 

%
\providecommand{\FigCalibBandwidthTracked}{%
  \begin{figure}[t]
    \centering %
    \includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-10a}
    \includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-10b}
    \caption{Relative difference of integrated line intensities in \mbox {\bf MIRA}{}
      and \mbox {\bf MRTCAL}{}-calibrated spectra above 179.4\,GHz in setup
      E150/L170250, at the edge of the 2mm atmospheric window. Top panel:
      with default 20\,MHz calibration bandwidth in \mbox {\bf MRTCAL}{}, which traces
      better the strong increase of atmosphere opacity at the high
      frequency end. Bottom panel: with \mbox {\bf MRTCAL}{} calibration bandwidth
      equal to the natural hardware unit size, i.e. 1.35\,GHz for
      FTS200. Horizontal blue solid and dashed lines indicate the mean and
      1$\sigma$\  standard deviation of all data points.}
    \label{fig:e1-edge-natural-bandwidth}
  \end{figure}} 

%
\providecommand{\FigSwitchingComparison}{%
  \begin{figure}[t]
    \centering %
    \includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-11}
    \caption{Integrated intensities of seven lines in the E230 setup for
      the three switching modes position-switching (PSW, shown as squares),
      wobbler-switching (WSW; triangles) and frequency-switching (FSW,
      circles), for calibration with \mbox {\bf MIRA}{} (black) and \mbox {\bf MRTCAL}{} (blue) with
      default settings. The integrated intensities are normalized to those
      measured for position switching. Bars indicate the 1$\sigma$\  standard
      deviation over all scans of the according line. The three leftmost
      lines 1--3 are bright (peak temperature $\mathrm{T_A^*}$$\sim$6--10\,K). Lines
      4--7 are weaker ($\mathrm{T_A^*}$$\sim$1\,K).}
    \label{fig:e2-obsmodes}
  \end{figure}} 

%
\providecommand{\FigFluxVsElevation}{%
  \begin{figure}[htb]
    \centering %
    \centering\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-12a}
    \centering\includegraphics[height=0.8\textwidth,angle=-90]{mrtcal-check-fig-12b}
    \caption{Integrated line intensity in \mbox {\bf MIRA}{} (black) and \mbox {\bf MRTCAL}{} (blue)
      spectra for the two brightest lines in the E230 setup versus time
      (top panel), and for the strongest line versus elevation (bottom
      panel), after correction for the gain-elevation-curve. One data point
      is shown per scan; the observing sequence consisted of one
      calibration scan and two science scans of 6\,min length.}
    \label{fig:e2-obsmodes-time-elevation}
  \end{figure}} 




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