Index: trunk/MagicSoft/TDAS-Extractor/Calibration.tex =================================================================== --- trunk/MagicSoft/TDAS-Extractor/Calibration.tex (revision 6418) +++ trunk/MagicSoft/TDAS-Extractor/Calibration.tex (revision 6419) @@ -382,7 +382,25 @@ \par -\subsection{Linearity Tests} - -In this section, we test the lineary of the extractors. As the photo-multiplier and the subsequent +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\subsection{Linearity \label{sec:calibration:linearity}} + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-3.eps} +\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots) +and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractFixedWindow}} on a window size of 6 high-gain and 6 low-gain slices +(extractor \#3). } +\label{fig:linear:phevscharge3} +\end{figure} + +In this section, we test the lineary of the conversion factors FADC counts to photo-electrons: + +\begin{equation} +c_{phe} =\ / <\widehat{S}> +\end{equation} + +As the photo-multiplier and the subsequent optical transmission devices~\cite{david} is a linear device over a wide dynamic range, the number of photo-electrons per charge has to remain constant over the tested @@ -395,81 +413,111 @@ separate TDAS~\cite{tdas-calibration}. - -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-3.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -A fixed window extractor on a window size of 6 high-gain and 6 low-gain slices has been used (extractor \#3). } -\label{fig:linear:phevscharge3} -\end{figure} - -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-8.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -A fixed window spline extractor on a window size of 6 high-gain and 6 low-gain slices has been used -(extractor \#8). } +\par +Figure~\ref{fig:linear:phevscharge3} shows the conversion factor $c_{phe}$ +obtained for different light intensities +and colours for two exemplary inner and two exemplary outer pixels using a fixed window on +6 FADC slices. One can clearly see the difference +between the high-gain ($<$100\ phes) and the low-gain ($>$100\ phes) region and +a rather good stability of $c_{phe}$ for each region separately, except for the highest intensities +($>$400\ phes). We conclude +that the fixed window extractor \#3 is a linear extractor for both high-gain and low-gain regions, +separately below a signal of about 300 photo-elecrons. +\par + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-8.eps} +\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots) +and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractFixedWindowSpline}} +on a window size of 6 high-gain and 6 low-gain slices (extractor \#8). } \label{fig:linear:phevscharge8} \end{figure} -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-14.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -A fixed window peak search extractor on a window size of 6 high-gain and 6 low-gain slices has been used +Figure~\ref{fig:linear:phevscharge8} shows the conversion factors using an integrated spline over +a fixed window of 7 FADC slices. There is a rather stability in +the high-gain region ($<$100\ phes), but the low-gain region fluctuates a lot, especially for the two + outer pixels. We conclude that the fixed window spline extractor has a bad linearity +and is not robust in the low-gain extraction. +\par + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-14.eps} +\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots) +and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractFixedWindowPeakSearch}} on a window size of 6 high-gain and 6 low-gain slices (extractor \#14). } \label{fig:linear:phevscharge14} \end{figure} -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-20.eps} +Figure~\ref{fig:linear:phevscharge14} shows the conversion factors using a fixed window obtained with +a global peak search over the camera. A similiar result the fixed window is obtained where there is +stability up to about 300 photo-electrons. We conclude +that the fixed window peak search extractor \#14 is linear for both high-gain and low-gain regions, +separately, below a signal of about 300 photo-elecrons. +\par + + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-20.eps} \caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -A sliding window extractor on a window size of 6 high-gain and 6 low-gain slices has been used - (extractor \#20). } +exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractTimeAndChargeSlidingWindow}} +on a window size of 6 high-gain and 6 low-gain slices (extractor \#20). } \label{fig:linear:phevscharge20} \end{figure} -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-25.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -An integrating spline extractor on a sliding window and a window size of 2 high-gain and 3 low-gain slices -has been used (extractor \#25). } +Figure~\ref{fig:linear:phevscharge20} shows the conversion factors using a sliding fixed window. +A much higher dynamic range is obtained mainting stability up to further than 500 photo-electrons. +\par + + + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-25.eps} +\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots) +and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractTimeAndChargeSpline}} with window size of 2 high-gain and 3 low-gain slices +(extractor \#25). } \label{fig:linear:phevscharge25} \end{figure} -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-27.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -An integrating spline extractor on a sliding window and a window size of 6 high-gain and 7 low-gain slices -has been used (extractor \#27). } -\label{fig:linear:phevscharge27} -\end{figure} - -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-30.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -A digital filter extractor on a window size of 6 high-gain and 6 low-gain slices has been used -with UV-weights (extractor \#30). } +Figure~\ref{fig:linear:phevscharge25} shows the conversion factors using a sliding spline +extractor with an integration window of 2 FADC slices in the high-gain and 3 FADC slices in the +low-gain. The increase of integration window in the low-gain seems to lead to an systematic +increase in the conversion factor above 200 photo-electrons. If one uses this extractor, probably this +effect will have to be corrected for. + +\par + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-30.eps} +\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots) +and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractTimeAndChargeDigitalFilter}} +using a window size of 6 high-gain and 6 low-gain slices with UV-weights (extractor \#30). } \label{fig:linear:phevscharge30} \end{figure} -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{PheVsCharge-31.eps} -\caption{Example of a the development of the conversion factor FADC counts to photo-electrons for two -exemplary inner pixels (upper plots) and two exemplary outer ones (lower plots). -A digital filter extractor on a window size of 4 high-gain and 4 low-gain slices has been used - (extractor \#31). } +Figure~\ref{fig:linear:phevscharge30} shows the conversion factors using a digital filter applied on 6 FADC slices with weights calculated from +the UV-calibration pulse. +One can see that all calibration blue and green calibration pulses at low and intermediate intensity fall + out of the linear region, moreover there seems to be +a systematic offset between high-gain and low-gain. These offsets have to corrected for in any way, however the loss of stability against the +exact pulse form in the high-gain is more problematic. + +\par + +\begin{figure}[htp] +\centering +\includegraphics[width=0.75\linewidth]{PheVsCharge-31.eps} +\caption{Conversion factor $c_{phe}$ for two exemplary inner pixels (upper plots) +and two exemplary outer ones (lower plots) obtained with the extractor +{\textit{MExtractTimeAndChargeDigitalFilter}} using a window size of +4 high-gain and 4 low-gain slices (extractor \#31). } \label{fig:linear:phevscharge31} \end{figure} Index: trunk/MagicSoft/TDAS-Extractor/Changelog =================================================================== --- trunk/MagicSoft/TDAS-Extractor/Changelog (revision 6418) +++ trunk/MagicSoft/TDAS-Extractor/Changelog (revision 6419) @@ -22,4 +22,6 @@ 2004/02/10: Markus Gaug * Pedetal.tex: Updated figures and text + * Calibration.tex: moved text from Performance.tex into this file and + updated figures and text 2004/02/03: Markus Gaug Index: trunk/MagicSoft/TDAS-Extractor/PheVsCharge-14.eps =================================================================== --- trunk/MagicSoft/TDAS-Extractor/PheVsCharge-14.eps (revision 6418) +++ trunk/MagicSoft/TDAS-Extractor/PheVsCharge-14.eps (revision 6419) @@ -3,5 +3,5 @@ %%Title: ./linearplots/PheVsCharge-14.eps: Conversion Factor vs. Charges %%Creator: ROOT Version 3.10/02 -%%CreationDate: Tue Jan 18 18:09:38 2005 +%%CreationDate: Sat Feb 12 12:38:40 2005 %%EndComments %%BeginProlog Index: trunk/MagicSoft/TDAS-Extractor/PheVsCharge-20.eps =================================================================== --- trunk/MagicSoft/TDAS-Extractor/PheVsCharge-20.eps (revision 6418) +++ trunk/MagicSoft/TDAS-Extractor/PheVsCharge-20.eps (revision 6419) @@ -3,5 +3,5 @@ %%Title: ./linearplots/PheVsCharge-20.eps: Conversion Factor vs. Charges %%Creator: ROOT Version 3.10/02 -%%CreationDate: Tue Jan 18 18:09:51 2005 +%%CreationDate: Sat Feb 12 12:39:07 2005 %%EndComments %%BeginProlog Index: trunk/MagicSoft/TDAS-Extractor/PheVsCharge-25.eps =================================================================== --- trunk/MagicSoft/TDAS-Extractor/PheVsCharge-25.eps (revision 6418) +++ trunk/MagicSoft/TDAS-Extractor/PheVsCharge-25.eps (revision 6419) @@ -3,5 +3,5 @@ %%Title: ./linearplots/PheVsCharge-25.eps: Conversion Factor vs. Charges %%Creator: ROOT Version 3.10/02 -%%CreationDate: Tue Jan 18 18:10:05 2005 +%%CreationDate: Sat Feb 12 12:42:02 2005 %%EndComments %%BeginProlog Index: trunk/MagicSoft/TDAS-Extractor/PheVsCharge-30.eps =================================================================== --- trunk/MagicSoft/TDAS-Extractor/PheVsCharge-30.eps (revision 6418) +++ trunk/MagicSoft/TDAS-Extractor/PheVsCharge-30.eps (revision 6419) @@ -3,5 +3,5 @@ %%Title: ./linearplots/PheVsCharge-30.eps: Conversion Factor vs. Charges %%Creator: ROOT Version 3.10/02 -%%CreationDate: Tue Jan 18 18:12:11 2005 +%%CreationDate: Sat Feb 12 12:45:36 2005 %%EndComments %%BeginProlog @@ -122,8 +122,8 @@ 1405 m 13 X s 989 1429 m 13 X s 976 1453 m 26 X s 989 1477 m 13 X s 989 1501 m 13 X s 989 1525 m 13 X s 989 1549 m 13 X s 976 1573 m 26 X s 989 1596 m 13 X s 989 1620 m 13 X s 989 1644 m 13 X s 989 1668 m 13 X s 976 1692 m 26 X s 989 1716 m 13 X s 989 1740 m 13 X s 989 1764 m 13 X s 989 1788 m 13 X s 976 1811 m 26 X s 989 1835 m 13 X s 989 1859 m 13 X s 989 1883 m 13 X s 989 1907 m 13 X s 976 1931 m 26 X s 989 1955 m 13 X s 989 1979 m 13 X s 989 2002 m 13 X s 989 2026 m 13 X s 976 2050 m 26 X - 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