\documentclass[preprint]{aastex} % AASTeXv5.0
\usepackage{carma_memo}
\usepackage{psfig}

\begin{document}

%%
%% CARMA Memo number. Check web http://www.mmarray.org/memos
%% for most recent memo number.
%%
\carmamemo{53}

%%
%% Uncomment these if this is also an ALMA or BIMA memorandum.
%%
%\almamemo{222} % ALMA Memo number.
%\bimamemo{101} % BIMA Memo number.


\title{Bandpass Calibration and Stability}
\author{Melvyn Wright$^1$}
\affil{Radio Astronomy Laboratory, U.C. Berkeley$^1$}

\begin{abstract}
In this memo analyze the bandpass calibration from observations of
compact sources in an interferometer mosaic pattern.

\end{abstract}

%%
%% Change Record/Revision History
%% This goes AFTER the abstract: the abstract is
%% printed on the front of the cover page and the
%% change record on the back of the cover page.
%% Use \addrevision to add additional revisions.
%% Columns are
%% | revision |date| author| sections/pages affected |
%% |          | remarks                              |

\ChangeRecordBegin
\addrevision{1.1}{2009-June-25}{MCHW}{1-14}{Draft memo}
\ChangeRecordEnd

\section{INTRODUCTION}

Accurate measurements of the instrumental bandpass are required for
many astronomical observations. For high signal to noise observations,
errors in the bandpass  can be larger than the thermal noise and
limit the accuracy of the data. At millimeter wavelengths, bandpass
errors affect spectral dynamic range, comparisons of spectral line
features in different molecular transitions, isotopic ratios, and MFS
observations. Measurements of the bandpass phase are critical when phase
referencing to a spectral line feature, such as in measuring the positions
of, or w.r.t. SiO masers. Bandpass calibration for CARMA is discussed in
BIMA memo 85 and CARMA memo 45.
In this memo we analyze the bandpass obtained during hex7 mosaic
observations of 3C273 which were used to determine the aperture
efficiency, pointing, and primary beam of the CARMA antennas (CARMA
memo 52).


-- standard way. calibration memo 
-- time independent bandpass
-- SNR for narrow bandwidths
-- RF and IF bandpass
-- noise source
MA memo 85. 2002 CARMA Calibration Requirements

\subsection{Bandpass, IF and RF frequency response}
The complex gain of the array is a function of time and
frequency. Most of the gain (amplitude and phase) is associated with
each antenna and the atmosphere above it, so that the gain can be
written as a product of the voltage gains for each antenna pair.  In
this case the calibration can be antenna based resulting in a higher
signal to noise (SNR), and enhanced imaging performance resulting from
self calibration procedures. Any residual baseline based calibration,
such as closure errors in the correlator should be minimized and
eliminated if at all possible. E.g. by using orthogonal switching
patterns in the antennas and correlator.

Ideally, the time and frequency dependence can be separated as the
product of time dependent gains and frequency dependent
bandpass measurements.  In practice the bandpass may be a slow
function of time and require periodic measurements, and the time
dependent gains may be a function of frequency. The poor SNR of an
astronomical measurement of narrow bandwidth IF characteristics in the
bandpass requires an auxiliary measurement with a noise source or
using the total power. The RF bandpass is smoother and in a stable
temperature controlled receiver environment, and can be determined from
periodic measurements of an astronomical source. Traditionally this
calibration has been the responsibility of the observer, but in
practice the calibration is done at a system level to an accuracy of a
few percent, and improving on this takes a large amount of observing
time. The typical user's passband calibration may actually introduce
systematic errors into the visibility data.

%As an example, the
%3-antenna BIMA correlator had a phase offset between the wideband
%setting used for quasar gain measurements and the narrow band setting
%used for spectral line source observations requiring a wide-narrow-wide
%calibration sequence of the correlator.  Although the current CARMA
%correlator has no measurable offset, the tradition of making such a
%calibration persists probably due to advisors insisting their students
%make every possible historical calibration. 

A desirable goal is to provide a bandpass calibration which will suffice
for 80-90\% of the users, leaving the few observers who need a
more accurate bandpass to request and schedule time to do so.  This will
improve the scheduling and efficiency for many observations.

\subsection {Bandpass calibration - mfcal}

\[ G_{ij}~(t,f,p) = g_{i}~(t,f,p) \times g^*_{j}~(t,f,p)\]
\[ g_{i}~(t,f,p) = g_{i}~(t) \times g_{i}~(f)\]

$\bullet$ Solve for antenna gains, $g_{i}(t)$ as a function of time.

$\bullet$ Solve for bandpass, $g_{i}~(f)$, as a function of frequency.

In this memo we analyze the multichannel data from mosaic observation to determine the stability of the instrumental bandpass.

\clearpage
\section{OBSERVATIONS AND DATA REDUCTION}

Mosaic observations were obtained using a standard hexagonal 7-pointing
mosaic of a strong compact source at the nominal pointing center and
half power points for the 10m antennas. The data are self-calibrated
to determine the antenna voltage gains. For quasars we used the MIRIAD
task {\bf mfcal} to determine the antenna-based gains versus time and bandpass.
The bandpass is determined w.r.t. the antenna gains. 

Figures 1 \& 2 show the bandpass amplitude and phase measured on the NOISE source.
Figures 3 \& 4 show the bandpass amplitude and phase measured on 3C273.
The bandpass on the NOISE source is not the same shape as
the bandpass on an astronomical source.

Figures 5 \& 6 show the residual bandpass on 09APR17 for the3C273 central
pointing after applying bandpass correction from the NOISE source.

The astronomical bandpass changes slowly with time. No significant
change was seen in the astronomical bandpass between pointings in a mosaic over 0.7 hours. The RMS residual across the bandpass is 0.004 to 0.011 for the 15 Carma antennas. 	

A similar results were obtained by applying the bandpass from the
APR 17 observations of 3C273 to the APR 18 data (RMS residual 0.004 to 0.008)

However over a period of 2 months, the bandpass does change from APR 17
to JUN 24 (RMS residual 0.01 to 0.04) after applying bandpass.


Figure 1 BandPass-Amp on NOISE source.
Figure 2 {BandPass-Phase on NOISE source.
Figure 3 {BandPass-Amp on 3C273 central pointing.
Figure 4 {BandPass-Phase on 3C273 central pointing.
Figure 5 {BandPass-Amp residual on 09APR17 on 3C273 central pointing after applying bandpass correction from NOISE source.
Figure 6 {BandPass-Phase residual on 09APR17 on 3C273 central pointing after applying bandpass correction from NOISE source.
Figure 7 {BandPass-Amp residual on 09APR17 on central pointing after applying bandpass correction from 3C273 on central pointing
Figure 8 {BandPass-Amp residual on 09APR17 on central pointing after applying bandpass correction from 3C273 on central pointing
Figure 9 {BandPass-Amp residual on 09APR17 offset pointing after applying bandpass correction from 3C273 on central pointing position in hexagonal mosaic.
Figure 10 {BandPass-Phase residual on 09APR17 after applying bandpass correction from 3C273 on central pointing position in hexagonal mosaic.
Figure 11 {BandPass-Amp residual on 09APR18 after applying bandpass correction from 3C273 on previous day.
Figure 12 {BandPass-Phase residual on 09APR18 after applying bandpass correction from 3C273 on previous day.
Figure 13 {BandPass-Phase residual on 09JUN24 after applying bandpass from 3C273 on 09JUN24
Figure 14 {BandPass-Phase residual on 09JUN24 after applying bandpass from 3C273 on 09APR17

\begin{verbatim}

Observation Log:

1) 09APR17:04:06:49.0  File: ct007.1C_1003C273.1.miriad
7-pointing mosaic at 95/100 GHz with  500 MHz BW.  Total observing time 0.73 hours
See Table 1 and Figure 4.

2) 09APR18:03:23:44.0   File: ct007.1C_1003C273.2.miriad
7-pointing mosaic at 95/100 GHz with  500 MHz BW.  Total observing time 0.89 hours
See Table 2 and Figure 5.

3) 09JUN24:23:22:35.5   File: ct007.1E_1003C273.1.mir
7-pointing mosaic at 95/100 GHz with  500 MHz BW.  Total observing time 0.70 hours

mfcal 'select=source(NOISE),-auto,window(1,2,3)' vis=ct007.1C_1003C273.1.miriad
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.miriad nxy=3,5
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.miriad nxy=3,5 yaxis=phase
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.miriad nxy=3,5 yaxis=phase device=BandPass-Phase.NOISE.ct007.1C_1003C273.ps/ps
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.miriad nxy=3,5 yaxis=amp device=BandPass-Amp.NOISE.ct007.1C_1003C273.ps/ps
mfcal 'select=source(NOISE),-auto,window(1,2,3)' vis=ct007.1C_1003C273.1.NOISE.uvcal
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.NOISE.uvcal nxy=3,5 yaxis=amp device=BandPass-Amp.NOISE.uvcal.ps/ps
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.NOISE.uvcal nxy=3,5 yaxis=phase device=BandPass-Phase.NOISE.uvcal.ps/ps
gv BandPass-Phase.NOISE.uvcal.ps
gv BandPass-Amp.NOISE.uvcal.ps
mfcal 'select=-source(NOISE),-auto,window(1,2,3),dra(0),ddec(0)' vis=ct007.1C_1003C273.1.NOISE.uvcal
gpplt device=/xs options=bandpass dra(0),ddec(0)' vis=ct007.1C_1003C273.1.NOISE.uvcal nxy=3,5 yaxis=phase device=BandPass-Phase.3C273.NOISE.uvcal.ps/ps
gpplt device=/xs options=bandpass dra(0),ddec(0)' vis=ct007.1C_1003C273.1.NOISE.uvcal nxy=3,5 yaxis=amp device=BandPass-Amp.3C273.NOISE.uvcal.ps/ps
gv BandPass-Amp.3C273.NOISE.uvcal.ps
mfcal 'select=-source(NOISE),-auto,dra(0),ddec(0)' vis=ct007.1C_1003C273.1.miriad
mfcal 'select=-source(NOISE),-auto,dra(0),ddec(0),window(1,2,3)' vis=ct007.1C_1003C273.1.miriad
gpplt device=/xs options=bandpass yaxis=phase vis=ct007.1C_1003C273.1.miriad nxy=3,5 yaxis=amp device=BandPass-Phase.3C273.ct007.1C_1003C273.ps/ps
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.miriad nxy=3,5 yaxis=phase device=BandPass-Phase.3C273.ct007.1C_1003C273.ps/ps
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.miriad nxy=3,5 yaxis=amp device=BandPass-Amp.3C273.ct007.1C_1003C273.ps/ps
uvcal 'select=-auto,window(1,2,3)' vis=ct007.1C_1003C273.1.miriad out=ct007.1C_1003C273.1.NOISE.uvcal
mfcal 'select=-source(NOISE),-auto,dra(0),ddec(0),window(1,2,3)' vis=ct007.1C_1003C273.1.3C273.uvcal
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.3C273.uvcal nxy=3,5 yaxis=amp device=BandPass-Amp.3C273.ct007.1C_1003C273.uvcal.ps/ps
gv BandPass-Amp.3C273.ct007.1C_1003C273.uvcal.ps
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.3C273.uvcal nxy=3,5 yaxis=phase device=BandPass-Phase.3C273.ct007.1C_1003C273.uvcal.ps/ps
uvindex vis=ct007.1C_1003C273.1.miriad
mfcal 'select=-source(NOISE),-auto,dra(14.88),ddec(25.76),window(1,2,3)' vis=ct007.1C_1003C273.1.3C273.uvcal
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.3C273.uvcal nxy=3,5 yaxis=amp device=BandPass-Amp.3C273.ct007.1C_1003C273.P1.uvcal.ps/ps
gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.3C273.uvcal nxy=3,5 yaxis=phase device=BandPass-Phase.3C273.ct007.1C_1003C273.P1.uvcal.ps/ps
gv BandPass-Amp.3C273.ct007.1C_1003C273.P1.uvcal.ps
gv BandPass-Phase.3C273.ct007.1C_1003C273.P1.uvcal.ps
uvcal 'select=-auto,window(1,2,3)' vis=ct007.1C_1003C273.1.miriad out=ct007.1C_1003C273.1.3C273.uvcal
gpcopy vis=ct007.1C_1003C273.1.miriad out=ct007.1C_1003C273.2.3C273.miriad
mfcal 'select=-source(NOISE),-auto,dra(0),ddec(0),window(1,2,3)' vis=ct007.1C_1003C273.2.miriad
gpcopy vis=ct007.1C_1003C273.1.miriad out=ct007.1C_1003C273.2.miriad
uvcal vis=ct007.1C_1003C273.1.miriad out=ct007.1C_1003C273.2.miriad out=ct007.1C_1003C273.2.uvcal
mfcal 'select=-source(NOISE),-auto,dra(0),ddec(0),window(1,2,3)' vis=ct007.1C_1003C273.2.uvcal
gpplt options=bandpass nxy=3,5 vis=ct007.1C_1003C273.2.uvcal
gpplt options=bandpass nxy=3,5 vis=ct007.1C_1003C273.2.uvcal device=/xs
gpplt options=bandpass nxy=3,5 vis=ct007.1C_1003C273.2.uvcal device=BandPass-Amp.ct007.1C_1003C273.2.uvcal.ps/ps
gpplt options=bandpass nxy=3,5 vis=ct007.1C_1003C273.2.uvcal yaxis=phase device=/xs
gpplt options=bandpass nxy=3,5 vis=ct007.1C_1003C273.2.uvcal yaxis=phase device=BandPass-Phase.ct007.1C_1003C273.2.uvcal.ps/ps
\begin{verbatim}
\end{verbatim}

\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.NOISE.ct007.1C_1003C273.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp on NOISE source.
File: BandPass-Amp.NOISE.ct007.1C\_1003C273.ps. Lower sideband at 93 GHz.  } \end{figure} \clearpage \begin{figure} \psfig{figure=BandPass-Phase.NOISE.ct007.1C_1003C273.ps,angle=-90,width=6.0in} \caption{BandPass-Phase on NOISE source.
File: BandPass-Phase.NOISE.ct007.1C\_1003C273.ps. Lower sideband at 93 GHz. 
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.3C273.ct007.1C_1003C273.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp on 3C273 central pointing.
File: BandPass-Amp.3C273.ct007.1C\_1003C273.ps. Lower sideband at 93 GHz. 
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Phase.3C273.ct007.1C_1003C273.ps,angle=-90,width=6.0in}
\caption{BandPass-Phase on 3C273 central pointing.
File: Bandpass-Phase.3C273.ct007.1C\_1003C273.ps. Lower sideband at 93 GHz. 
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.3C273.NOISE.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp residual on 09APR17 on 3C273 central pointing after applying bandpass correction from NOISE source.
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Phase.3C273.NOISE.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Phase residual on 09APR17 on 3C273 central pointing after applying bandpass correction from NOISE source.
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.3C273.ct007.1C_1003C273.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp residual on 09APR17 on central pointing after applying bandpass correction from 3C273 on central pointing
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Phase.3C273.ct007.1C_1003C273.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp residual on 09APR17 on central pointing after applying bandpass correction from 3C273 on central pointing
}
\end{figure}

\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.3C273.ct007.1C_1003C273.P1.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp residual on 09APR17 offset pointing after applying bandpass correction from 3C273 on central pointing position in hexagonal mosaic.
}
\end{figure}

\clearpage
\begin{figure}
\psfig{figure=BandPass-Phase.3C273.ct007.1C_1003C273.P1.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Phase residual on 09APR17 after applying bandpass correction from 3C273 on central pointing position in hexagonal mosaic.
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.ct007.1C_1003C273.2.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Amp residual on 09APR18 after applying bandpass correction from 3C273 on previous day.
}
\end{figure}

\clearpage
\begin{figure}
\psfig{figure=BandPass-Phase.ct007.1C_1003C273.2.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Phase residual on 09APR18 after applying bandpass correction from 3C273 on previous day.
}
\end{figure}

\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.ct007.1E_1003C273.1.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Phase residual on 09JUN24 after applying bandpass from 3C273 on 09JUN24
}
\end{figure}


\clearpage
\begin{figure}
\psfig{figure=BandPass-Amp.ct007.1E_1003C273.1.gpcopy.uvcal.ps,angle=-90,width=6.0in}
\caption{BandPass-Phase residual on 09JUN24 after applying bandpass from 3C273 on 09APR17
}
\end{figure}

\clearpage
\section{ANALYSIS}

\section{CONCLUSION}

\clearpage
\section{ References }

Cornwell, T.J., Holdaway, M.A. \& Uson, J.M., 1993, A\&A 271, 697,
{\it Radio-interferometric imaging of very large objects: implications for array design}

Holdaway, M. A., 1998, {\it Mosaicing with Interferometer Arrays}, in
Synthesis Imaging in Radio Astronomy II,
ASP Conference Series, G. B. Taylor, C. L. Carilli and R. A. Perley (eds)

Corder, S., 2008, {}, PhD thesis, Caltech.

Wright, M,. 2002.
CARMA memo 5, {\it Compact Configuration Evaluation for CARMA}

Wright, M., 2007, CARMA memo 38
{\it Image Fidelity as a Function of Source Size and Calibration Errors} 


\end{document}



\begin{verbatim}
 gpplt device=/xs options=bandpass vis=ct007.1C_1003C273.1.3C273.uvcal nxy=3,5 yaxis=amp device=BandPass-Amp.3C273.ct007.1C_1003C273.uvcal.ps/ps
GpPlt: version 23-Jun-09
 Antenna 1   I-BandPass-Amp      ave, rms=  0.999991298  0.00415039062
 Antenna 2   I-BandPass-Amp      ave, rms=  0.999980271  0.00629106397
 Antenna 3   I-BandPass-Amp      ave, rms=  0.999976337  0.00687939581
 Antenna 4   I-BandPass-Amp      ave, rms=  0.999985278  0.00543726981
 Antenna 5   I-BandPass-Amp      ave, rms=  0.999972284  0.00745328981
 Antenna 6   I-BandPass-Amp      ave, rms=  0.999951482  0.00985675212
 Antenna 7   I-BandPass-Amp      ave, rms=  0.999985993  0.00530409208
 Antenna 8   I-BandPass-Amp      ave, rms=  0.999974489  0.00715960842
 Antenna 9   I-BandPass-Amp      ave, rms=  0.999969065  0.0078732986
 Antenna 10  I-BandPass-Amp      ave, rms=  0.999976933  0.0068184766
 Antenna 11  I-BandPass-Amp      ave, rms=  0.999937952  0.0111398771
 Antenna 12  I-BandPass-Amp      ave, rms=  0.999971747  0.00751302857
 Antenna 13  I-BandPass-Amp      ave, rms=  0.999992371  0.00389861315
 Antenna 14  I-BandPass-Amp      ave, rms=  0.999988914  0.00472145481
 Antenna 15  I-BandPass-Amp      ave, rms=  0.999985397  0.00539876567
/sun2/wright/carma/hex7> gpplt options=bandpass nxy=3,5 vis=ct007.1C_1003C273.2.uvcal device=/xs
GpPlt: version 23-Jun-09
 Antenna 1   I-BandPass-Amp      ave, rms=  0.999992371  0.00392147899
 Antenna 2   I-BandPass-Amp      ave, rms=  0.999991775  0.00403386494
 Antenna 3   I-BandPass-Amp      ave, rms=  0.999988496  0.0047591771
 Antenna 4   I-BandPass-Amp      ave, rms=  0.999989092  0.00467068516
 Antenna 5   I-BandPass-Amp      ave, rms=  0.99999243  0.00390625
 Antenna 6   I-BandPass-Amp      ave, rms=  0.999964237  0.00846432429
 Antenna 7   I-BandPass-Amp      ave, rms=  0.999993801  0.00349556189
 Antenna 8   I-BandPass-Amp      ave, rms=  0.999990106  0.0044417493
 Antenna 9   I-BandPass-Amp      ave, rms=  0.999967039  0.0081082629
 Antenna 10  I-BandPass-Amp      ave, rms=  0.999993205  0.00368644251
 Antenna 11  I-BandPass-Amp      ave, rms=  0.999994934  0.00320187421
 Antenna 12  I-BandPass-Amp      ave, rms=  0.999979734  0.00637576403
 Antenna 13  I-BandPass-Amp      ave, rms=  0.999989629  0.00456745271
 Antenna 14  I-BandPass-Amp      ave, rms=  0.999990404  0.00439453125
 Antenna 15  I-BandPass-Amp      ave, rms=  0.999986768  0.00512695312


gpplt options=bandpass nxy=3,5 vis=ct007.1E_1003C273.1.uvcal device=/xs
GpPlt: version 23-Jun-09
 Antenna 1   I-BandPass-Amp      ave, rms=  0.999998033  0.00201323512
 Antenna 2   I-BandPass-Amp      ave, rms=  0.999996603  0.00262947497
 Antenna 3   I-BandPass-Amp      ave, rms=  0.999999464  0.00109183008
 Antenna 4   I-BandPass-Amp      ave, rms=  0.999998569  0.00169145584
 Antenna 5   I-BandPass-Amp      ave, rms=  0.999997258  0.00232895324
 Antenna 6   I-BandPass-Amp      ave, rms=  0.999996603  0.00262947497
 Antenna 7   I-BandPass-Amp      ave, rms=  0.999999225  0.00122070312
 Antenna 8   I-BandPass-Amp      ave, rms=  0.999999762  0.000645935361
 Antenna 9   I-BandPass-Amp      ave, rms=  0.999999225  0.00124487781
 Antenna 10  I-BandPass-Amp      ave, rms=  0.999999583  0.000880261534
 Antenna 11  I-BandPass-Amp      ave, rms=  0.99999845  0.00185931963
 Antenna 12  I-BandPass-Amp      ave, rms=  0.999998033  0.00201323512
 Antenna 13  I-BandPass-Amp      ave, rms=  0.999997258  0.00236703129
 Antenna 14  I-BandPass-Amp      ave, rms=  0.999999642  0.000913490599
 Antenna 15  I-BandPass-Amp      ave, rms=  0.999998808  0.00148504949

/sun2/wright/carma/hex7> gpplt options=bandpass nxy=3,5 vis=ct007.1E_1003C273.1.gpcopy.uvcal device=/xs
GpPlt: version 23-Jun-09
 Antenna 1   I-BandPass-Amp      ave, rms=  0.999235034  0.0391036756
 Antenna 2   I-BandPass-Amp      ave, rms=  0.99955827  0.0297200475
 Antenna 3   I-BandPass-Amp      ave, rms=  0.996671796  0.0815188438
 Antenna 4   I-BandPass-Amp      ave, rms=  0.999910235  0.0134077445
 Antenna 5   I-BandPass-Amp      ave, rms=  0.999458849  0.0328974389
 Antenna 6   I-BandPass-Amp      ave, rms=  0.99951756  0.0310605988
 Antenna 7   I-BandPass-Amp      ave, rms=  0.999948144  0.0101751303
 Antenna 8   I-BandPass-Amp      ave, rms=  0.999860406  0.0167089254
 Antenna 9   I-BandPass-Amp      ave, rms=  0.999928355  0.0119703617
 Antenna 10  I-BandPass-Amp      ave, rms=  0.999611497  0.0278705526
 Antenna 11  I-BandPass-Amp      ave, rms=  0.999326169  0.0367056318
 Antenna 12  I-BandPass-Amp      ave, rms=  0.999789357  0.0205237921
 Antenna 13  I-BandPass-Amp      ave, rms=  0.999838173  0.0179903638
 Antenna 14  I-BandPass-Amp      ave, rms=  0.999895453  0.0144600514
 Antenna 15  I-BandPass-Amp      ave, rms=  0.999773085  0.0213102736
\end{verbatim}
