Changeset 6446 for trunk/MagicSoft/TDAS-Extractor/Calibration.tex

Timestamp:

02/14/05 01:06:27 (20 years ago)

Author:

gaug

Message:

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File:

• trunk/MagicSoft/TDAS-Extractor/Calibration.tex (modified) (4 diffs)

trunk/MagicSoft/TDAS-Extractor/Calibration.tex

@@ -627 +627 @@
 \end{equation}
 
-Figures~\ref{fig:reltimesinner10leduv} show distributions of $\delta t_i$ 
+Figures~\ref{fig:reltimesinnerleduv} shows the distributions of $\delta t_i$ 
 for a typical inner pixel and a non-saturating calibration pulse of UV-light, 
-obtained with six different extractors. One can see that all of them yield acceptable Gaussian distributions, 
+obtained with six different extractors. 
+One can see that all of them yield acceptable Gaussian distributions, 
 except for the sliding window extracting 2 slices which shows a three-peak structure and cannot be fitted. 
-We discarded that particular extractor for the further studies.
+We discarded that particular extractor from the further studies.
 
 \begin{figure}[htp]
@@ -641 +642 @@
 \includegraphics[width=0.45\linewidth]{RelTime_100_Extractor30.eps}
 \includegraphics[width=0.45\linewidth]{RelTime_100_Extractor31.eps}
-\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) 
-Top: Sliding Window over 2 FADC slices (\#17) and 4 FADC slices (\#18).
-Center: Spline with maximum position (\#23) and half-maximum position (\#24). 
-Bottom: Digital Filter with UV-calibration pulse weights over 6 slices (\#30) and 4 slices (\#31).
+\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) \protect\\
+Top: {\textit{\bf MExtractTimeAndChargeSlidingWindow}} over 2  slices (\#17) and 4  slices (\#18) \protect\\
+Center: {\textit{\bf MExtractTimeAndChargeSpline}} with maximum (\#23) and half-maximum pos. (\#24) \protect\\
+Bottom: {\textit{\bf MExtractTimeAndChargeDigitalFilter}} fitted to a UV-calibration pulse over 6 slices (\#30) and 4 slices (\#31) \protect\\
 A medium sized UV-pulse (5\,Leds UV) has been used which does not saturate the high-gain readout channel.}
 \label{fig:reltimesinnerleduv}
+\end{figure}
+
+Figures~\ref{fig:reltimesinnerledblue1} and~\ref{fig:reltimesinnerledblue2} show 
+the distributions of $\delta t_i$ for a typical inner pixel and a saturating calibration 
+pulse of blue light. 
+One can see that the sliding window extractors yield double Gaussian structures, except for the 
+largest window sizes of 8 and 10 FADC slices. Even then, the distributions are not exactly Gaussian.
+The maximum position extracting spline also yields distributions which are not exactly Gaussian and seem 
+to miss the exact arrival time in quite some events. Only the position of the half-maximum gives the 
+expected result of a single Gaussian distribution.
+A similiar problem occurs in the case of the digital filter: If one takes the correct weights 
+(fig.~\ref{fig:reltimesinnerledblue2} bottom), the distribution is perfectly Gaussian and the resolution good, 
+however a rather slight change from the blue calibration pulse weights to cosmics pulses weights (top) 
+adds a secondary peak of events with mis-reconstructed arrival times.
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor18_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor19_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor21_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor22_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor23_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor24_logain.eps}
+\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) \protect\\
+Top: {\textit{\bf MExtractTimeAndChargeSlidingWindow}} over 4  slices (\#18) and 6  slices (\#19) \protect\\
+Center: {\textit{\bf MExtractTimeAndChargeSlidingWindow}} over 8  slices (\#20) and 10  slices (\#21)\protect\\
+Bottom: {\textit{\bf MExtractTimeAndChargeSpline}} with maximum (\#23) and half-maximum pos. (\#24) \protect\\ 
+A strong Blue pulse (23\,Leds Blue) has been used which does not saturate the high-gain readout channel.}
+\label{fig:reltimesinnerledblue1}
+\end{figure}
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor30_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor31_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor32_logain.eps}
+\includegraphics[width=0.45\linewidth]{RelTime_100_Extractor33_logain.eps}
+\caption{Examples of a distributions of relative arrival times $\delta t_i$ of an inner pixel (Nr. 100) \protect\\
+Top: {\textit{\bf MExtractTimeAndChargeDigitalFilter}} 
+fitted to cosmics pulses over 6 slices (\#30) and 4  slices (\#31) \protect\\
+Bottom: {\textit{\bf MExtractTimeAndChargeDigitalFilter}} fitted to the correct blue calibration pulse over 6  slices (\#30) and 4  slices (\#31)
+A strong Blue pulse (23\,Leds Blue) has been used which does not saturate the high-gain readout channel.}
+\label{fig:reltimesinnerledblue2}
 \end{figure}
 
@@ -657 +701 @@
 %the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
 % (extractor \#32), the central plot shows the result obtained with the half-maximum of the spline and the 
-%right plot the result of the sliding window with a window size of 2 FADC slices (extractor \#17). A 
+%right plot the result of the sliding window with a window size of 2  slices (extractor \#17). A 
 %medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
 %\label{fig:reltimesouter10leduv}
@@ -785 +829 @@
 \includegraphics[width=0.95\linewidth]{TimeResVsCharge-Area-21.eps}
 \caption{Reconstructed mean arrival time resolutions as a function of the extracted mean number of 
-photo-electrons for the weighted sliding window with a window size of 8 FADC slices (extractor \#21).
+photo-electrons for the weighted sliding window with a window size of 8  slices (extractor \#21).
 Error bars denote the 
 spread (RMS) of the time resolutions over the investigated channels.