Changeset 5647 for trunk/MagicSoft

Timestamp:

12/20/04 22:33:59 (20 years ago)

Author:

gaug

Message:

*** empty log message ***

Location:

trunk/MagicSoft/TDAS-Extractor

Files:

• Changelog (modified) (1 diff)
• Performance.tex (modified) (3 diffs)

trunk/MagicSoft/TDAS-Extractor/Changelog

@@ -19 +19 @@
 
                                                  -*-*- END OF LINE -*-*-
+
+2004/12/16: Markus Gaug
+  * Performance.tex: included sections dealing with calibration (not yet 
+    ready)
+
+
 
 2004/12/16: Hendrik Bartko

trunk/MagicSoft/TDAS-Extractor/Performance.tex

@@ -370 +370 @@
 \subsubsection{Time resolution}
 
+The extractors \#17--32 are able to extract also the arrival time of each pulse. In the calibration, 
+we have a fast-rising pulse, uniform over camera also in time. We estimate the time-uniformity to better 
+than 300\,ps, a limit due to the different travel times of the light between inner and outer parts of the
+camera. Since the calibraion does not have an absolute measurement of the arrival time, we measure 
+the relative arrival time, i.e. 
+
+\begin{equation}
+\delta t_i = t_i - t_1
+\end{equation}
+
+where $t_i$ denotes the reconstructed arrival time of pixel number $i$ and $t_1$ the reconstructed 
+arrival time of pixel number 1 (software numbering). For one calibration run, one can then fill 
+histograms of $\delta t_i$ for each pixel which yields then a mean $<\delta t_i>$, comparable to 
+systematic offsets in the signal delay and a sigma $\sigma(\delta t_i)$ which is a measure of the 
+combined time resolutions of pixel $i$ and pixel 1. Assuming that the PMTs and readout channels are 
+of a same kind, we obtain an approximate absolute time resolution of pixel $i$ by:
+
+\begin{equation}
+tres_i \approx \sigma(\delta t_i)/sqrt(2)
+\end{equation}
+
+Figures~\ref{fig:reltimesinner10leduv} and~\ref{fig:reltimesouter10leduv} show distributions of $<\delta t_i>$ 
+for 
+one typical inner pixel and one typical outer pixel and a non-saturating calibration pulse of UV-light, 
+obtained with three different extractors. One can see that the first two yield a Gaussian distribution 
+to a good approximation, whereas the third extractor shows a three-peak structure and cannot be fitted. 
+We discarded that particular extractor for this reason.
+
 \begin{figure}[htp]
 \centering
@@ -380 +408 @@
 right plot the result of the sliding window with a window size of 2 FADC slices (extractor \#17). A 
 medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
-\label{fig:reltimesinner}
+\label{fig:reltimesinner10leduv}
 \end{figure}
 
@@ -393 +421 @@
 right plot the result of the sliding window with a window size of 2 FADC slices (extractor \#17). A 
 medium sized UV-pulse (10Leds UV) has been used which does not saturate the high-gain readout channel.}
-\label{fig:reltimesouter}
-\end{figure}
-
-\begin{figure}[htp]
-\centering
-\includegraphics[width=0.45\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor32.eps}
-\includegraphics[width=0.45\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor23.eps}
+\label{fig:reltimesouter10leduv}
+\end{figure}
+
+Figures~\ref{fig:reltimesinner10ledsblue} and~\ref{fig:reltimesouter10ledsblue} show distributions of 
+$<\delta t_i>$ for 
+one typical inner and one typical outer pixel and a high-gain-saturating calibration pulse of blue-light, 
+obtained with two different extractors. One can see that the first (extractor \#23) yields a Gaussian 
+distribution to a good approximation, whereas the second (extractor \#32) shows a two-peak structure 
+and cannot be fitted. 
+\par
+\ldots {\it Unfortunately, this happens for all digital filter extractors in the low-gain. 
+The reason is not yet understood, and has to be found by Hendrik... } \ldots
+\par
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor23.eps}
+\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel97_10LedBlue_Extractor32.eps}
 \caption{Example of a two distributions of relative arrival times of an inner pixel with respect to 
-the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
- (extractor \#32), the right plot shows the result obtained with the half-maximum of the spline. A 
+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
+(extractor \#32). A 
 medium sized Blue-pulse (10Leds Blue) has been used which saturates the high-gain readout channel.}
-\label{fig:reltimesinner}
-\end{figure}
-
-\begin{figure}[htp]
-\centering
-\includegraphics[width=0.45\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor32.eps}
-\includegraphics[width=0.45\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor23.eps}
+\label{fig:reltimesinner10ledsblue}
+\end{figure}
+
+
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor23.eps}
+\includegraphics[width=0.31\linewidth]{RelArrTime_Pixel400_10LedBlue_Extractor32.eps}
 \caption{Example of a two distributions of relative arrival times of an outer pixel with respect to 
-the arrival time of the reference pixel Nr. 1. The left plot shows the result using the digital filter
- (extractor \#32), the right plot shows the result obtained with the half-maximum of the spline. A 
+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
+(extractor \#32). A 
 medium sized Blue-pulse (10Leds Blue) has been used which saturates the high-gain readout channel.}
-\label{fig:reltimesouter}
-\end{figure}
-
-
+\label{fig:reltimesouter10ledsblue}
+\end{figure}
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.95\linewidth]{TimeResExtractor-5LedsUV-Colour-12.eps}
+\caption{Reconstructed arrival time resolutions from a typical, not saturating calibration pulse 
+of colour UV, reconstructed with each of the tested arrival time extractors. 
+The first plots shows the time resolutions obtained for the inner pixels, the second one 
+for the outer pixels. Points 
+denote the mean of all not-excluded pixels, the error bars their RMS.}
+\label{fig:time:5ledsuv}
+\end{figure}
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.95\linewidth]{TimeResExtractor-1LedUV-Colour-04.eps}
+\caption{Reconstructed arrival time resolutions from the lowest intensity calibration pulse 
+of colour UV (carrying a mean number of 4 photo-electrons), 
+reconstructed with each of the tested arrival time extractors. 
+The first plots shows the time resolutions obtained for the inner pixels, the second one 
+for the outer pixels. Points 
+denote the mean of all not-excluded pixels, the error bars their RMS.}
+\label{fig:time:1leduv}
+\end{figure}
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.95\linewidth]{TimeResExtractor-2LedsGreen-Colour-02.eps}
+\caption{Reconstructed arrival time resolutions from a typical, not saturating calibration pulse 
+of colour Green, reconstructed with each of the tested arrival time extractors. 
+The first plots shows the time resolutions obtained for the inner pixels, the second one 
+for the outer pixels. Points 
+denote the mean of all not-excluded pixels, the error bars their RMS.}
+\label{fig:time:2ledsgreen}
+\end{figure}
+
+\begin{figure}[htp]
+\centering
+\includegraphics[width=0.95\linewidth]{TimeResExtractor-23LedsBlue-Colour-00.eps}
+\caption{Reconstructed arrival time resolutions from the highest intensity calibration pulse 
+of colour blue, reconstructed with each of the tested arrival time extractors. 
+The first plots shows the time resolutions obtained for the inner pixels, the second one 
+for the outer pixels. Points 
+denote the mean of all not-excluded pixels, the error bars their RMS.}
+\label{fig:time:23ledsblue}
+\end{figure}
 
 \clearpage