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Timestamp:
02/14/05 01:06:27 (20 years ago)
Author:
gaug
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trunk/MagicSoft/TDAS-Extractor
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  • trunk/MagicSoft/TDAS-Extractor/Calibration.tex

    r6441 r6446  
    627627\end{equation}
    628628
    629 Figures~\ref{fig:reltimesinner10leduv} show distributions of $\delta t_i$
     629Figures~\ref{fig:reltimesinnerleduv} shows the distributions of $\delta t_i$
    630630for a typical inner pixel and a non-saturating calibration pulse of UV-light,
    631 obtained with six different extractors. One can see that all of them yield acceptable Gaussian distributions,
     631obtained with six different extractors.
     632One can see that all of them yield acceptable Gaussian distributions,
    632633except for the sliding window extracting 2 slices which shows a three-peak structure and cannot be fitted.
    633 We discarded that particular extractor for the further studies.
     634We discarded that particular extractor from the further studies.
    634635
    635636\begin{figure}[htp]
    … …  
    641642\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor30.eps}
    642643\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor31.eps}
    643 \caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100)
    644 Top: Sliding Window over 2 FADC slices (\#17) and 4 FADC slices (\#18).
    645 Center: Spline with maximum position (\#23) and half-maximum position (\#24).
    646 Bottom: Digital Filter with UV-calibration pulse weights over 6 slices (\#30) and 4 slices (\#31).
     644\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) \protect\\
     645Top: {\textit{\bf MExtractTimeAndChargeSlidingWindow}} over 2  slices (\#17) and 4  slices (\#18) \protect\\
     646Center: {\textit{\bf MExtractTimeAndChargeSpline}} with maximum (\#23) and half-maximum pos. (\#24) \protect\\
     647Bottom: {\textit{\bf MExtractTimeAndChargeDigitalFilter}} fitted to a UV-calibration pulse over 6 slices (\#30) and 4 slices (\#31) \protect\\
    647648A medium sized UV-pulse (5\,Leds UV) has been used which does not saturate the high-gain readout channel.}
    648649\label{fig:reltimesinnerleduv}
     650\end{figure}
     651
     652Figures~\ref{fig:reltimesinnerledblue1} and~\ref{fig:reltimesinnerledblue2} show
     653the distributions of $\delta t_i$ for a typical inner pixel and a saturating calibration
     654pulse of blue light.
     655One can see that the sliding window extractors yield double Gaussian structures, except for the
     656largest window sizes of 8 and 10 FADC slices. Even then, the distributions are not exactly Gaussian.
     657The maximum position extracting spline also yields distributions which are not exactly Gaussian and seem
     658to miss the exact arrival time in quite some events. Only the position of the half-maximum gives the
     659expected result of a single Gaussian distribution.
     660A similiar problem occurs in the case of the digital filter: If one takes the correct weights
     661(fig.~\ref{fig:reltimesinnerledblue2} bottom), the distribution is perfectly Gaussian and the resolution good,
     662however a rather slight change from the blue calibration pulse weights to cosmics pulses weights (top)
     663adds a secondary peak of events with mis-reconstructed arrival times.
     664
     665\begin{figure}[htp]
     666\centering
     667\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor18_logain.eps}
     668\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor19_logain.eps}
     669\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor21_logain.eps}
     670\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor22_logain.eps}
     671\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor23_logain.eps}
     672\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor24_logain.eps}
     673\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) \protect\\
     674Top: {\textit{\bf MExtractTimeAndChargeSlidingWindow}} over 4  slices (\#18) and 6  slices (\#19) \protect\\
     675Center: {\textit{\bf MExtractTimeAndChargeSlidingWindow}} over 8  slices (\#20) and 10  slices (\#21)\protect\\
     676Bottom: {\textit{\bf MExtractTimeAndChargeSpline}} with maximum (\#23) and half-maximum pos. (\#24) \protect\\
     677A strong Blue pulse (23\,Leds Blue) has been used which does not saturate the high-gain readout channel.}
     678\label{fig:reltimesinnerledblue1}
     679\end{figure}
     680
     681\begin{figure}[htp]
     682\centering
     683\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor30_logain.eps}
     684\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor31_logain.eps}
     685\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor32_logain.eps}
     686\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor33_logain.eps}
     687\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) \protect\\
     688Top: {\textit{\bf MExtractTimeAndChargeDigitalFilter}}
     689fitted to cosmics pulses over 6 slices (\#30) and 4  slices (\#31) \protect\\
     690Bottom: {\textit{\bf MExtractTimeAndChargeDigitalFilter}} fitted to the correct blue calibration pulse over 6  slices (\#30) and 4  slices (\#31)
     691A strong Blue pulse (23\,Leds Blue) has been used which does not saturate the high-gain readout channel.}
     692\label{fig:reltimesinnerledblue2}
    649693\end{figure}
    650694
    … …  
    657701%the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
    658702% (extractor \#32), the central plot shows the result obtained with the half-maximum of the spline and the
    659 %right plot the result of the sliding window with a window size of 2 FADC slices (extractor \#17). A
     703%right plot the result of the sliding window with a window size of 2 slices (extractor \#17). A
    660704%medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
    661705%\label{fig:reltimesouter10leduv}
    … …  
    785829\includegraphics[width=0.95\linewidth]{TimeResVsCharge-Area-21.eps}
    786830\caption{Reconstructed mean arrival time resolutions as a function of the extracted mean number of
    787 photo-electrons for the weighted sliding window with a window size of 8 FADC slices (extractor \#21).
     831photo-electrons for the weighted sliding window with a window size of 8 slices (extractor \#21).
    788832Error bars denote the
    789833spread (RMS) of the time resolutions over the investigated channels.

  • trunk/MagicSoft/TDAS-Extractor/PheVsCharge-3.eps

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