Index: /trunk/MagicSoft/TDAS-Extractor/Pedestal.tex =================================================================== --- /trunk/MagicSoft/TDAS-Extractor/Pedestal.tex (revision 6792) +++ /trunk/MagicSoft/TDAS-Extractor/Pedestal.tex (revision 6793) @@ -93,56 +93,56 @@ -\begin{figure}[htp] -\centering -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38993_RelMean.eps} -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38995_RelMean.eps} -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38996_RelMean.eps} -\caption{MExtractTimeAndChargeSpline with amplitude extraction: -Difference in mean pedestal (per FADC slice) between extraction algorithm -applied on a fixed window of 1 FADC slice (``extractor random'') and a simple addition of -2 fixed FADC slices (``fundamental''). On the left, a run with closed camera has been taken, in the center - an opened camera observing an extra-galactic star field and on the right, an open camera being -illuminated by the continuous light of the calibration (level: 100). Every entry corresponds to one -pixel.} -\label{fig:amp:relmean} -\end{figure} - -\begin{figure}[htp] -\centering -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38993_RelMean.eps} -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38995_RelMean.eps} -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38996_RelMean.eps} -\caption{MExtractTimeAndChargeSpline with integral over 2 slices: -Difference in mean pedestal (per FADC slice) between extraction algorithm -applied on a fixed window of 2 FADC slices (``extractor random'') and a simple addition of -2 FADC fixed slices (``fundamental''). On the left, a run with closed camera has been taken, in the center - an opened camera observing an extra-galactic star field and on the right, an open camera being -illuminated by the continuous light of the calibration (level: 100). Every entry corresponds to one -pixel.} -\label{fig:int:relmean} -\end{figure} - -\begin{figure}[htp] -\centering -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38993_RelMean.eps} -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38995_RelMean.eps} -\vspace{\floatsep} -\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38996_RelMean.eps} -\caption{MExtractTimeAndChargeDigitalFilter: -Difference in mean pedestal (per FADC slice) between extraction algorithm -applied on a fixed window of 6 FADC slices and time-randomized weights (``extractor random'') -and a simple addition of -6 FADC fixed slices (``fundamental''). On the left, a run with closed camera has been taken, in the center - an opened camera observing an extra-galactic star field and on the right, an open camera being -illuminated by the continuous light of the calibration (level: 100). Every entry corresponds to one -pixel.} -\label{fig:df:relmean} -\end{figure} +%\begin{figure}[htp] +%\centering +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38993_RelMean.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38995_RelMean.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38996_RelMean.eps} +%\caption{MExtractTimeAndChargeSpline with amplitude extraction: +%Difference in mean pedestal (per FADC slice) between extraction algorithm +%applied on a fixed window of 1 FADC slice (``extractor random'') and a simple addition of +%2 fixed FADC slices (``fundamental''). On the left, a run with closed camera has been taken, in the center +% an opened camera observing an extra-galactic star field and on the right, an open camera being +%illuminated by the continuous light of the calibration (level: 100). Every entry corresponds to one +%pixel.} +%\label{fig:amp:relmean} +%\end{figure} + +%\begin{figure}[htp] +%\centering +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38993_RelMean.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38995_RelMean.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38996_RelMean.eps} +%\caption{MExtractTimeAndChargeSpline with integral over 2 slices: +%Difference in mean pedestal (per FADC slice) between extraction algorithm +%applied on a fixed window of 2 FADC slices (``extractor random'') and a simple addition of +%2 FADC fixed slices (``fundamental''). On the left, a run with closed camera has been taken, in the center +% an opened camera observing an extra-galactic star field and on the right, an open camera being +%illuminated by the continuous light of the calibration (level: 100). Every entry corresponds to one +%pixel.} +%\label{fig:int:relmean} +%\end{figure} + +%\begin{figure}[htp] +%\centering +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38993_RelMean.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38995_RelMean.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.3\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38996_RelMean.eps} +%\caption{MExtractTimeAndChargeDigitalFilter: +%Difference in mean pedestal (per FADC slice) between extraction algorithm +%applied on a fixed window of 6 FADC slices and time-randomized weights (``extractor random'') +%and a simple addition of +%6 FADC fixed slices (``fundamental''). On the left, a run with closed camera has been taken, in the center +% an opened camera observing an extra-galactic star field and on the right, an open camera being +%illuminated by the continuous light of the calibration (level: 100). Every entry corresponds to one +%pixel.} +%\label{fig:df:relmean} +%\end{figure} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -177,87 +177,144 @@ \par -The following figures~\ref{fig:amp:relmean} through~\ref{fig:df:relrms} show results -obtained with the second method for three background intensities: - -\begin{enumerate} -\item Closed camera and no (Poissonian) fluctuation due to photons from the night sky background -\item The camera pointing to an extra-galactic region with stars in the field of view -\item The camera illuminated by a continuous light source of intensity 100. -\end{enumerate} - -Figures~\ref{fig:amp:relmean} through~\ref{fig:df:relmean} -show the calculated biases obtained with this method for all pixels in the camera -and for the different levels of (night-sky) background applied to 1000 pedestal events. -One can see that the bias vanishes to an accuracy of better than 2\% of a photo-electron +%The following figures~\ref{fig:amp:relmean} through~\ref{fig:df:relrms} show results +%obtained with the second method for three background intensities: + +%\begin{enumerate} +%\item Closed camera and no (Poissonian) fluctuation due to photons from the night sky background +%\item The camera pointing to an extra-galactic region with stars in the field of view +%\item The camera illuminated by a continuous light source of intensity 100. +%\end{enumerate} + +The calculated biases obtained with this method for all pixels in the camera +and for the different levels of (night-sky) background applied vanish +to an accuracy of better than 2\% of a photo-electron for the extractors which are used in this TDAS. +\par +Table~\ref{tab::ped:fw} shows the resolutions $R$ obtained +by applying an extractor to a fixed extraction window, +for the inner and outer pixels, respectively, for four different camera illumination conditions: +Closed camera (run \#38993), star-field of an extra-galactic source observation (run~\#38995), +star-field of the Crab-Nebula observation (run~\#39258) and observation with the almost fully +illuminated moon at an angular distance of about~60$^\circ$ from the telescope pointing position +(run~\#46471). In the first three cases, the RMS of the values has been calculated while in the +fourth case, the high-end side of the signal distributions have been fitted to a Gaussian. +\par +The entries belonging to the rows denoted as ``Slid. Win.'' are by construction identical to those +obtained by simply summing up the FADC slices (the ``fundamental Pedestal RMS''). +Note that the digital filter yields much smaller values of $R$ than the ``sliding windows'' of +a same window size. This characteristic shows the +``filter''--capacity of that algorithm. It ``filters out'' up to 50\% of the night sky +background photo-electrons. +\par +One can see that the ratio between the pedestal RMS of outer and inner pixels is around a factor~3 +for the closed camera and then 1.6--1.9 for the other conditions. + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%1 -\begin{figure}[htp] -\centering -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38993_RMSDiff.eps} -\vspace{\floatsep} -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38995_RMSDiff.eps} -\vspace{\floatsep} -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38996_RMSDiff.eps} -\caption{MExtractTimeAndChargeSpline with amplitude: -Difference in RMS (per FADC slice) between extraction algorithm -applied on a fixed window and the corresponding pedestal RMS. -Closed camera (left), open camera observing extra-galactic star field (right) and -camera being illuminated by the continuous light (bottom). -Every entry corresponds to one pixel.} -\label{fig:amp:relrms} -\end{figure} - - -\begin{figure}[htp] -\centering -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38993_RMSDiff.eps} -\vspace{\floatsep} -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38995_RMSDiff.eps} -\vspace{\floatsep} -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38996_RMSDiff.eps} -\caption{MExtractTimeAndChargeSpline with integral over 2 slices: -Difference in RMS (per FADC slice) between extraction algorithm -applied on a fixed window and the corresponding pedestal RMS. -Closed camera (left), open camera observing extra-galactic star field (right) and -camera being illuminated by the continuous light (bottom). -Every entry corresponds to one -pixel.} -\label{fig:int:relrms} -\end{figure} - - -\begin{figure}[htp] -\centering -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38993_RMSDiff.eps} -\vspace{\floatsep} -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38995_RMSDiff.eps} -\vspace{\floatsep} -\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38996_RMSDiff.eps} -\caption{MExtractTimeAndChargeDigitalFilter: -Difference in RMS (per FADC slice) between extraction algorithm -applied on a fixed window and the corresponding pedestal RMS. -Closed camera (left), open camera observing extra-galactic star field (right) and -camera being illuminated by the continuous light (bottom). -Every entry corresponds to one pixel.} -\label{fig:df:relrms} -\end{figure} - +%\begin{figure}[htp] +%\centering +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38993_RMSDiff.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38995_RMSDiff.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Amplitude_Amplitude_Range_01_09_01_10_Run_38996_RMSDiff.eps} +%\caption{MExtractTimeAndChargeSpline with amplitude: +%Difference in RMS (per FADC slice) between extraction algorithm +%applied on a fixed window and the corresponding pedestal RMS. +%Closed camera (left), open camera observing extra-galactic star field (right) and +%camera being illuminated by the continuous light (bottom). +%Every entry corresponds to one pixel.} +%\label{fig:amp:relrms} +%\end{figure} + + +%\begin{figure}[htp] +%\centering +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38993_RMSDiff.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38995_RMSDiff.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeSpline_Rise-and-Fall-Time_0.5_1.5_Range_01_10_02_12_Run_38996_RMSDiff.eps} +%\caption{MExtractTimeAndChargeSpline with integral over 2 slices: +%Difference in RMS (per FADC slice) between extraction algorithm +%applied on a fixed window and the corresponding pedestal RMS. +%Closed camera (left), open camera observing extra-galactic star field (right) and +%camera being illuminated by the continuous light (bottom). +%Every entry corresponds to one +%pixel.} +%\label{fig:int:relrms} +%\end{figure} + + +%\begin{figure}[htp] +%\centering +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38993_RMSDiff.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38995_RMSDiff.eps} +%\vspace{\floatsep} +%\includegraphics[width=0.47\linewidth]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_01_14_02_14_Run_38996_RMSDiff.eps} +%\caption{MExtractTimeAndChargeDigitalFilter: +%Difference in RMS (per FADC slice) between extraction algorithm +%applied on a fixed window and the corresponding pedestal RMS. +%Closed camera (left), open camera observing extra-galactic star field (right) and +%camera being illuminated by the continuous light (bottom). +%Every entry corresponds to one pixel.} +%\label{fig:df:relrms} +%\end{figure} + +%\begin{landscape} +%\rotatebox{90}{% +\begin{table}[htp] +\vspace{3cm} +\small{% +\centering +\begin{tabular}{|c|c||c|c||c|c||c|c||c|c|} +\hline +\hline +\multicolumn{10}{|c|}{Resolution for $S=0$ and fixed window (units in $N_{\mathrm{phe}}$) \rule{0mm}{6mm} \rule[-2mm]{0mm}{6mm} \hspace{-3mm}} \\ +\hline +\hline + & & \multicolumn{2}{|c|}{Closed camera} & \multicolumn{2}{|c|}{Extra-gal. NSB} & \multicolumn{2}{|c|}{Galactic NSB} & \multicolumn{2}{|c|}{Moon} \\ +\hline +\hline +Nr. & Name & $R$ & $R$ & $R$ & $R$ & $R$ & $R$ & $R$ & $R$ \\ + & & inner & outer & inner & outer & inner & outer & inner & outer \\ +\hline +17 & Slid. Win. 2 & 0.3 & 0.9 & 1.2 & 2.0 & 1.5 & 2.4 & 3.0 & 5.3 \\ +18 & Slid. Win. 4 & 0.4 & 1.2 & 1.6 & 2.7 & 2.0 & 3.3 & 3.9 & 7.3 \\ +20 & Slid. Win. 6 & 0.5 & 1.6 & 2.0 & 3.5 & 2.4 & 4.3 & 4.7 & 9.0 \\ +21 & Slid. Win. 8 & 0.6 & 2.0 & 2.3 & 4.1 & 2.9 & 5.0 & 5.3 & 10.1 \\ +\hline +23 & Spline Amp. & 0.3 & 0.8 & 1.0 & 1.8 & 1.2 & 2.2 & 2.5 & 4.9 \\ +24 & Spline Int. 1 & 0.3 & 0.7 & 0.9 & 1.6 & 1.1 & 1.9 & 2.5 & 4.6 \\ +25 & Spline Int. 2 & 0.3 & 0.9 & 1.2 & 2.0 & 1.5 & 2.4 & 3.0 & 5.3 \\ +26 & Spline Int. 4 & 0.4 & 1.2 & 1.6 & 2.8 & 1.9 & 3.4 & 3.6 & 7.1 \\ +27 & Spline Int. 6 & 0.5 & 1.6 & 1.9 & 3.6 & 2.4 & 4.2 & 4.3 & 8.7 \\ +\hline +28 & Dig. Filt. 6 & 0.3 & 0.8 & 1.0 & 1.6 & 1.2 & 1.9 & 2.8 & 4.3 \\ +29 & Dig. Filt. 4 & 0.3 & 0.7 & 0.9 & 1.6 & 1.1 & 1.9 & 2.5 & 4.3 \\ +\hline +\hline +\end{tabular} +\vspace{1cm} +\caption{The mean resolution $R$ for different extractors applied to a fixed window of pedestal events. +Four different conditions of night sky background are shown: +Closed camera, extra-galactic star-field, galactic star-field and almost full moon at 60$^\circ$ angular +distance from the pointing position. With the first three conditions, a simple RMS of the extracted +signals has been calculated while in the fourth case, a Gauss fit to the high part of the distribution +has been made. +The obtained values can typically vary by up to 10\% for different channels of the camera readout.} +\label{tab:ped:fw} +} +\end{table} +%} +%\end{landscape} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -Figures~\ref{fig:amp:relrms} through~\ref{fig:df:relrms} show the -differences in $R$ between the RMS of simply summing up the FADC slices over the extraction window -(in MARS called: ``Fundamental Pedestal RMS'') and -the one obtained by applying the extractor to the same extraction window -(in MARS called: ``Pedestal RMS with Extractor Rndm''). One entry of each histogram corresponds to one -pixel of the camera. -The distributions have a negative mean in the case of the digital filter showing the -``filter'' capacity of that algorithm. It ``filters out'' between 0.12 photo-electrons night sky -background for the extra-galactic star-field until 0.2 photo-electrons for the continuous light. - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@ -315,5 +372,5 @@ \hline \hline -\multicolumn{16}{|c|}{Statistical Parameters for $S=0$ units in $N_{\mathrm{phe}}$} \\ +\multicolumn{16}{|c|}{Statistical Parameters for $S=0$ (units in $N_{\mathrm{phe}}$) \rule{0mm}{6mm} \rule[-2mm]{0mm}{6mm} \hspace{-3mm}} \\ \hline \hline