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02/13/05 23:43:29 (20 years ago)
Author:
gaug
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  • trunk/MagicSoft/TDAS-Extractor/Calibration.tex

    r6439 r6441  
    624624
    625625\begin{equation}
    626 t^{res}_i \approx \sigma(\delta t_i)/sqrt(2)
     626t^{res}_i \approx \sigma(\delta t_i)/\sqrt(2)
    627627\end{equation}
    628628
    629 Figures~\ref{fig:reltimesinner10leduv} and~\ref{fig:reltimesouter10leduv} show distributions of $\delta t_i$
    630 for
    631 one typical inner pixel and one typical outer pixel and a non-saturating calibration pulse of UV-light,
    632 obtained with three different extractors. One can see that the first two yield a Gaussian distribution
    633 to a good approximation, whereas the third extractor shows a three-peak structure and cannot be fitted.
    634 We discarded that particular extractor for this reason.
    635 
    636 \begin{figure}[htp]
    637 \centering
    638 \includegraphics[width=0.3\linewidth]{RelArrTime_Pixel97_10LedUV_Extractor32.eps}
    639 \includegraphics[width=0.32\linewidth]{RelArrTime_Pixel97_10LedUV_Extractor23.eps}
    640 \includegraphics[width=0.32\linewidth]{RelArrTime_Pixel97_10LedUV_Extractor17.eps}
    641 \caption{Example of a two distributions of relative arrival times of an inner pixel with respect to
    642 the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
    643  (extractor \#32), the central plot shows the result obtained with the half-maximum of the spline and the
    644 right plot the result of the sliding window with a window size of 2 FADC slices (extractor \#17). A
    645 medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
    646 \label{fig:reltimesinner10leduv}
    647 \end{figure}
    648 
    649 \begin{figure}[htp]
    650 \centering
    651 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedUV_Extractor32.eps}
    652 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedUV_Extractor23.eps}
    653 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedUV_Extractor17.eps}
    654 \caption{Example of a two distributions of relative arrival times of an outer pixel with respect to
    655 the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
    656  (extractor \#32), the central plot shows the result obtained with the half-maximum of the spline and the
    657 right plot the result of the sliding window with a window size of 2 FADC slices (extractor \#17). A
    658 medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
    659 \label{fig:reltimesouter10leduv}
    660 \end{figure}
    661 
    662 Figures~\ref{fig:reltimesinner10ledsblue} and~\ref{fig:reltimesouter10ledsblue} show distributions of
    663 $<\delta t_i>$ for
    664 one typical inner and one typical outer pixel and a high-gain-saturating calibration pulse of blue-light,
    665 obtained with two different extractors. One can see that the first (extractor \#23) yields a Gaussian
    666 distribution to a good approximation.
    667 
    668 \begin{figure}[htp]
    669 \centering
    670 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor23.eps}
    671 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor32.eps}
    672 \caption{Example of a two distributions of relative arrival times of an inner pixel with respect to
    673 the arrival time of the reference pixel Nr. 1. The left plot shows the result using the half-maximum of the spline (extractor \#23), the right plot shows the result obtained with the digital filter
    674 (extractor \#32). A
    675 medium sized Blue-pulse (10Leds Blue) has been used which saturates the high-gain readout channel.}
    676 \label{fig:reltimesinner10ledsblue}
    677 \end{figure}
    678 
    679 
    680 
    681 \begin{figure}[htp]
    682 \centering
    683 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor23.eps}
    684 \includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor32.eps}
    685 \caption{Example of a two distributions of relative arrival times of an outer pixel with respect to
    686 the arrival time of the reference pixel Nr. 1. The left plot shows the result using the half-maximum of the spline (extractor \#23), the right plot shows the result obtained with the digital filter
    687 (extractor \#32). A
    688 medium sized Blue-pulse (10Leds Blue) has been used which saturates the high-gain readout channel.}
    689 \label{fig:reltimesouter10ledsblue}
    690 \end{figure}
     629Figures~\ref{fig:reltimesinner10leduv} show distributions of $\delta t_i$
     630for a typical inner pixel and a non-saturating calibration pulse of UV-light,
     631obtained with six different extractors. One can see that all of them yield acceptable Gaussian distributions,
     632except for the sliding window extracting 2 slices which shows a three-peak structure and cannot be fitted.
     633We discarded that particular extractor for the further studies.
     634
     635\begin{figure}[htp]
     636\centering
     637\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor17.eps}
     638\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor18.eps}
     639\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor23.eps}
     640\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor24.eps}
     641\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor30.eps}
     642\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)
     644Top: Sliding Window over 2 FADC slices (\#17) and 4 FADC slices (\#18).
     645Center: Spline with maximum position (\#23) and half-maximum position (\#24).
     646Bottom: Digital Filter with UV-calibration pulse weights over 6 slices (\#30) and 4 slices (\#31).
     647A medium sized UV-pulse (5\,Leds UV) has been used which does not saturate the high-gain readout channel.}
     648\label{fig:reltimesinnerleduv}
     649\end{figure}
     650
     651%\begin{figure}[htp]
     652%\centering
     653%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedUV_Extractor32.eps}
     654%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedUV_Extractor23.eps}
     655%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedUV_Extractor17.eps}
     656%\caption{Example of a two distributions of relative arrival times of an outer pixel with respect to
     657%the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
     658% (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
     660%medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
     661%\label{fig:reltimesouter10leduv}
     662%\end{figure}
     663
     664%\begin{figure}[htp]
     665%\centering
     666%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor23.eps}
     667%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor32.eps}
     668%\caption{Example of a two distributions of relative arrival times of an inner pixel with respect to
     669%the arrival time of the reference pixel Nr. 1. The left plot shows the result using the half-maximum of the spline (extractor \#23), the right plot shows the result obtained with the digital filter
     670%(extractor \#32). A
     671%medium sized Blue-pulse (10Leds Blue) has been used which saturates the high-gain readout channel.}
     672%\label{fig:reltimesinner10ledsblue}
     673%\end{figure}
     674
     675
     676
     677%\begin{figure}[htp]
     678%\centering
     679%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor23.eps}
     680%\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor32.eps}
     681%\caption{Example of a two distributions of relative arrival times of an outer pixel with respect to
     682%the arrival time of the reference pixel Nr. 1. The left plot shows the result using the half-maximum of the spline (extractor \#23), the right plot shows the result obtained with the digital filter
     683%(extractor \#32). A
     684%medium sized Blue-pulse (10Leds Blue) has been used which saturates the high-gain readout channel.}
     685%\label{fig:reltimesouter10ledsblue}
     686%\end{figure}
    691687
    692688%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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