Ignore:
Timestamp:
02/13/05 15:34:06 (20 years ago)
Author:
hbartko
Message:
*** empty log message ***
Location:
trunk/MagicSoft/TDAS-Extractor
Files:
2 added
2 edited

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  • trunk/MagicSoft/TDAS-Extractor/Changelog

    r6419 r6430  
    1919
    2020                                                 -*-*- END OF LINE -*-*-
     212004/02/13: Hendrik Bartko
     22  * Reconstruction.tex: updated+new figures
     23  * Algorithms.tex: updated
     24  * shape_25945_raw.eps: new figure
     25  * time_25945.eps: new figure
     26
    2127
    22282004/02/10: Markus Gaug

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

    r6112 r6430  
    77It can be determined using the reconstructed arrival time
    88$t_{\mathrm{arrival}}$.%directly by a time to digital converter (TDC) or
    9 \par
    10 \ldots {\textit{MAYBE a PLOT TO DEMONSTRATE THIS?}}
    11 \par
     9
     10\begin{figure}[h!]
     11\begin{center}
     12\includegraphics[totalheight=7cm]{shape_25945_raw.eps}
     13\end{center}
     14\caption[Raw shape.]{Raw FADC samples of 1000 pulse generator pulses overlayed.}
     15\label{fig:raw_shape}
     16\end{figure}
     17
     18\begin{figure}[h!]
     19\begin{center}
     20\includegraphics[totalheight=7cm]{time_25945.eps}
     21\end{center}
     22\caption[Reconstructed time.]{Distribution of the reconstructed time from the raw FADC samples shown in figure \ref{fig:raw_shape}. The width of the distribution is due to the trigger jitter of 1 FADC period (3.33 ns).}
     23\label{fig:reco_time}
     24\end{figure}
     25
     26
    1227The asynchronous sampling of the pulse shape allows to determine an average pulse shape from the recorded
    1328signal samples: The recorded signal samples can be shifted in time such that the shifted arrival times
    1429of all events are equal. In addition, the signal samples are normalized event by event using the
    1530reconstructed charge of the pulse. The accuracy of the signal shape reconstruction depends on the accuracy
    16 of the arrival time and charge reconstruction and amounts to \ldots
    17 
    18 \par
    19 {\textit{NUMBER IS MISSING !!}}
    20 \par
    21 \ldots
    22 
    23 Figure~\ref{fig:pulpo_shape_high} shows the averaged and shifted reconstructed signal of a fast pulser
    24 in the so called pulse generator (``pulpo'') setup.
    25 
    26 \ldots
    27 \par
    28 {\textit{EXPLAIN PULPO SETUO}}
    29 \par
    30 \ldots
     31of the arrival time and charge reconstruction. The statistical error of the reconstructed pulse shape is well below $10^{-2}$ while the systematical error is by definition unknown at first hand.
    3132
    3233
    33 Clearly visible are the high and the low gain pulses. The low gain
    34 pulse is attenuated by a factor of about 10 and delayed by about 55\,ns with respect to the high gain pulse.
     34\begin{figure}[h!]
     35\begin{center}
     36\includegraphics[totalheight=7cm]{pulpo_shape_high_low_TDAS.eps}%{pulpo_shape_high.eps}
     37\end{center}
     38\caption[Reconstructed high gain shape.]{Average reconstructed pulse shape from a pulpo run showing the highgain and the low gain pulse. The FWHM of the high gain pulse is about 6.2 ns while the FWHM of the low gain pulse is about 10ns.}
     39\label{fig:pulpo_shape_high}
     40\end{figure}
    3541
    36 Figures~\ref{fig:pulpo_shape_low} shows the averaged normalized reconstructed pulse shapes for the ``pulpo''
     42
     43Figure~\ref{fig:pulpo_shape_high} shows the averaged and shifted reconstructed signal of a fast pulser in the so called pulse generator (``pulpo'') setup. Thereby
     44the response of the photomultipliers to Cherenkov light is simulated by a fast electrical pulse generator which generates unipolar pulses of about 2.5 ns FWHM and preset amplitude. These electrical pulses are transmitted using the same analog-optical link as the PMT pulses and are fed to the MAGIC receiver board. The pulse generator setup is mainly used for test purposes of the receiver board, trigger logic and FADCs.
     45
     46
     47In figure~\ref{fig:pulpo_shape_high} the high and the low gain pulses are clearly visible. The low gain pulse is attenuated by a factor of about 10 and delayed by about 55\,ns with respect to the high gain pulse.
     48
     49Figure~\ref{fig:pulpo_shape_low} shows the averaged normalized (to an area of 1FADC count * $T_{FADC}=3.33$ ns) reconstructed pulse shapes for the ``pulpo''
    3750pulses in the high and in the low gain, respectively. The input FWHM of the pulse generator pulses is
    3851about 2\,ns. The FWHM of the average reconstructed high gain pulse shape is about 6.3\,ns, while the FWHM of
    … …  
    4457It has a FWHM of about 10 ns.
    4558
    46 
    47 \begin{figure}[h!]
    48 \begin{center}
    49 \includegraphics[totalheight=7cm]{pulpo_shape_high_low_TDAS.eps}%{pulpo_shape_high.eps}
    50 \end{center}
    51 \caption[Reconstructed high gain shape.]{Average reconstructed high gain pulse shape from a pulpo run. The FWHM is about 6.2 ns.}
    52 \label{fig:pulpo_shape_high}
    53 \end{figure}
    5459
    5560\begin{figure}[h!]
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