Changeset 6419


Ignore:
Timestamp:
02/12/05 20:03:05 (20 years ago)
Author:
gaug
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*** empty log message ***
Location:
trunk/MagicSoft/TDAS-Extractor
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6 edited

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  • trunk/MagicSoft/TDAS-Extractor/Calibration.tex

    r6417 r6419  
    382382\par
    383383
    384 \subsection{Linearity Tests}
    385 
    386 In this section, we test the lineary of the extractors. As the photo-multiplier and the subsequent
     384%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     385
     386\subsection{Linearity \label{sec:calibration:linearity}}
     387
     388\begin{figure}[htp]
     389\centering
     390\includegraphics[width=0.75\linewidth]{PheVsCharge-3.eps}
     391\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots)
     392and two exemplary outer ones (lower plots) obtained with the extractor
     393{\textit{MExtractFixedWindow}} on a window size of 6 high-gain and 6 low-gain slices
     394(extractor \#3). }
     395\label{fig:linear:phevscharge3}
     396\end{figure}
     397
     398In this section, we test the lineary of the conversion factors FADC counts to photo-electrons:
     399
     400\begin{equation}
     401c_{phe} =\  <Phe> / <\widehat{S}>
     402\end{equation}
     403
     404As the photo-multiplier and the subsequent
    387405optical transmission devices~\cite{david} is a linear device over a
    388406wide dynamic range, the number of photo-electrons per charge has to remain constant over the tested
     
    395413separate TDAS~\cite{tdas-calibration}.
    396414
    397 
    398 \begin{figure}[htp]
    399 \centering
    400 \includegraphics[width=0.95\linewidth]{PheVsCharge-3.eps}
    401 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    402 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    403 A fixed window extractor on a window size of 6 high-gain and 6 low-gain slices has been used (extractor \#3). }
    404 \label{fig:linear:phevscharge3}
    405 \end{figure}
    406 
    407 \begin{figure}[htp]
    408 \centering
    409 \includegraphics[width=0.95\linewidth]{PheVsCharge-8.eps}
    410 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    411 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    412 A fixed window spline extractor on a window size of 6 high-gain and 6 low-gain slices has been used
    413 (extractor \#8). }
     415\par
     416Figure~\ref{fig:linear:phevscharge3} shows the conversion factor $c_{phe}$
     417obtained for different light intensities
     418and colours for two exemplary inner and two exemplary outer pixels using a fixed window on
     4196 FADC slices. One can clearly see the difference
     420between the high-gain ($<$100\ phes) and the low-gain ($>$100\ phes) region and
     421a rather good stability of $c_{phe}$ for each region separately, except for the highest intensities
     422($>$400\ phes).  We conclude
     423that the fixed window extractor \#3 is a linear extractor for both high-gain and low-gain regions,
     424separately below a signal of about 300 photo-elecrons.
     425\par
     426
     427\begin{figure}[htp]
     428\centering
     429\includegraphics[width=0.75\linewidth]{PheVsCharge-8.eps}
     430\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots)
     431and two exemplary outer ones (lower plots) obtained with the extractor
     432{\textit{MExtractFixedWindowSpline}}
     433on a window size of 6 high-gain and 6 low-gain slices (extractor \#8). }
    414434\label{fig:linear:phevscharge8}
    415435\end{figure}
    416436
    417 \begin{figure}[htp]
    418 \centering
    419 \includegraphics[width=0.95\linewidth]{PheVsCharge-14.eps}
    420 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    421 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    422 A fixed window peak search extractor on a window size of 6 high-gain and 6 low-gain slices has been used
     437Figure~\ref{fig:linear:phevscharge8} shows the conversion factors using an integrated spline over
     438a fixed window of 7 FADC slices. There is a rather stability in
     439the high-gain region ($<$100\ phes), but the low-gain region fluctuates a lot, especially for the two
     440 outer pixels. We conclude that the fixed window spline extractor has a bad linearity
     441and is not robust in the low-gain extraction.
     442\par
     443
     444\begin{figure}[htp]
     445\centering
     446\includegraphics[width=0.75\linewidth]{PheVsCharge-14.eps}
     447\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots)
     448and two exemplary outer ones (lower plots) obtained with the extractor
     449{\textit{MExtractFixedWindowPeakSearch}} on a window size of 6 high-gain and 6 low-gain slices
    423450(extractor \#14). }
    424451\label{fig:linear:phevscharge14}
    425452\end{figure}
    426453
    427 \begin{figure}[htp]
    428 \centering
    429 \includegraphics[width=0.95\linewidth]{PheVsCharge-20.eps}
     454Figure~\ref{fig:linear:phevscharge14} shows the conversion factors using a fixed window obtained with
     455a global peak search over the camera. A similiar result the fixed window is obtained where there is
     456stability up to about 300 photo-electrons. We conclude
     457that the fixed window peak search extractor \#14 is linear for both high-gain and low-gain regions,
     458separately, below a signal of about 300 photo-elecrons.
     459\par
     460
     461
     462\begin{figure}[htp]
     463\centering
     464\includegraphics[width=0.75\linewidth]{PheVsCharge-20.eps}
    430465\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    431 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    432 A sliding window extractor on a window size of 6 high-gain and 6 low-gain slices has been used
    433  (extractor \#20). }
     466exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots) obtained with the extractor
     467{\textit{MExtractTimeAndChargeSlidingWindow}}
     468on a window size of 6 high-gain and 6 low-gain slices (extractor \#20). }
    434469\label{fig:linear:phevscharge20}
    435470\end{figure}
    436471
    437 \begin{figure}[htp]
    438 \centering
    439 \includegraphics[width=0.95\linewidth]{PheVsCharge-25.eps}
    440 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    441 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    442 An integrating spline extractor on a sliding window and a window size of 2 high-gain and 3 low-gain slices
    443 has been used (extractor \#25). }
     472Figure~\ref{fig:linear:phevscharge20} shows the conversion factors using a sliding fixed window.
     473A much higher dynamic range is obtained mainting stability up to further than 500 photo-electrons.
     474\par
     475
     476
     477
     478\begin{figure}[htp]
     479\centering
     480\includegraphics[width=0.75\linewidth]{PheVsCharge-25.eps}
     481\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots)
     482and two exemplary outer ones (lower plots) obtained with the extractor
     483{\textit{MExtractTimeAndChargeSpline}} with window size of 2 high-gain and 3 low-gain slices
     484(extractor \#25). }
    444485\label{fig:linear:phevscharge25}
    445486\end{figure}
    446487
    447 \begin{figure}[htp]
    448 \centering
    449 \includegraphics[width=0.95\linewidth]{PheVsCharge-27.eps}
    450 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    451 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    452 An integrating spline extractor on a sliding window and a window size of 6 high-gain and 7 low-gain slices
    453 has been used (extractor \#27). }
    454 \label{fig:linear:phevscharge27}
    455 \end{figure}
    456 
    457 \begin{figure}[htp]
    458 \centering
    459 \includegraphics[width=0.95\linewidth]{PheVsCharge-30.eps}
    460 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    461 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    462 A digital filter extractor on a window size of 6 high-gain and 6 low-gain slices has been used
    463 with UV-weights (extractor \#30). }
     488Figure~\ref{fig:linear:phevscharge25} shows the conversion factors using a sliding spline
     489extractor with an integration window of 2 FADC slices in the high-gain and 3 FADC slices in the
     490low-gain. The increase of integration window in the low-gain seems to lead to an systematic
     491increase in the conversion factor above 200 photo-electrons. If one uses this extractor, probably this
     492effect will have to be corrected for.
     493
     494\par
     495
     496\begin{figure}[htp]
     497\centering
     498\includegraphics[width=0.75\linewidth]{PheVsCharge-30.eps}
     499\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots)
     500and two exemplary outer ones (lower plots) obtained with the extractor
     501{\textit{MExtractTimeAndChargeDigitalFilter}} 
     502using a window size of 6 high-gain and 6 low-gain slices with UV-weights (extractor \#30). }
    464503\label{fig:linear:phevscharge30}
    465504\end{figure}
    466505
    467 \begin{figure}[htp]
    468 \centering
    469 \includegraphics[width=0.95\linewidth]{PheVsCharge-31.eps}
    470 \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two
    471 exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots).
    472 A digital filter extractor on a window size of 4 high-gain and 4 low-gain slices has been used
    473  (extractor \#31). }
     506Figure~\ref{fig:linear:phevscharge30} shows the conversion factors using a digital filter applied on 6 FADC slices with weights calculated from
     507the UV-calibration pulse.
     508One can see that all calibration blue and green calibration pulses at low and intermediate intensity fall
     509 out of the linear region, moreover there seems to be
     510a systematic offset between high-gain and low-gain. These offsets have to corrected for in any way, however the loss of stability against the
     511exact pulse form in the high-gain is more problematic.
     512
     513\par
     514
     515\begin{figure}[htp]
     516\centering
     517\includegraphics[width=0.75\linewidth]{PheVsCharge-31.eps}
     518\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots)
     519and two exemplary outer ones (lower plots) obtained with the extractor
     520{\textit{MExtractTimeAndChargeDigitalFilter}} using a window size of
     5214 high-gain and 4 low-gain slices (extractor \#31). }
    474522\label{fig:linear:phevscharge31}
    475523\end{figure}
  • trunk/MagicSoft/TDAS-Extractor/Changelog

    r6374 r6419  
    22222004/02/10: Markus Gaug
    2323  * Pedetal.tex: Updated figures and text
     24  * Calibration.tex: moved text from Performance.tex into this file and
     25    updated figures and text
    2426
    25272004/02/03: Markus Gaug
  • trunk/MagicSoft/TDAS-Extractor/PheVsCharge-14.eps

    r5908 r6419  
    33%%Title: ./linearplots/PheVsCharge-14.eps: Conversion Factor vs. Charges
    44%%Creator: ROOT Version 3.10/02
    5 %%CreationDate: Tue Jan 18 18:09:38 2005
     5%%CreationDate: Sat Feb 12 12:38:40 2005
    66%%EndComments
    77%%BeginProlog
  • trunk/MagicSoft/TDAS-Extractor/PheVsCharge-20.eps

    r5908 r6419  
    33%%Title: ./linearplots/PheVsCharge-20.eps: Conversion Factor vs. Charges
    44%%Creator: ROOT Version 3.10/02
    5 %%CreationDate: Tue Jan 18 18:09:51 2005
     5%%CreationDate: Sat Feb 12 12:39:07 2005
    66%%EndComments
    77%%BeginProlog
  • trunk/MagicSoft/TDAS-Extractor/PheVsCharge-25.eps

    r5908 r6419  
    33%%Title: ./linearplots/PheVsCharge-25.eps: Conversion Factor vs. Charges
    44%%Creator: ROOT Version 3.10/02
    5 %%CreationDate: Tue Jan 18 18:10:05 2005
     5%%CreationDate: Sat Feb 12 12:42:02 2005
    66%%EndComments
    77%%BeginProlog
  • trunk/MagicSoft/TDAS-Extractor/PheVsCharge-30.eps

    r5895 r6419  
    33%%Title: ./linearplots/PheVsCharge-30.eps: Conversion Factor vs. Charges
    44%%Creator: ROOT Version 3.10/02
    5 %%CreationDate: Tue Jan 18 18:12:11 2005
     5%%CreationDate: Sat Feb 12 12:45:36 2005
    66%%EndComments
    77%%BeginProlog
     
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