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12/03/04 11:59:28 (20 years ago)
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gaug
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  • trunk/MagicSoft/TDAS-Extractor/Pedestal.tex

    r5544 r5556  
    147147    to get information about the bias $B$ (valid for low signals).
    148148\item Applying the signal extractor to a fixed window, to get something like
    149     $R$. In the case of the digital filter, this has to be done by randomizing
    150     the time slice indices.
     149    $R$. In the case of the digital filter and the spline, this has to be done
     150    by randomizing the time slice indices.
    151151\end{enumerate}
    152152
     
    155155\vspace{1cm}
    156156\par
     157
     158The following plots~\ref{fig:df:distped:run38993} through~\ref{fig:amp:relrms:run38996} show results
     159obtained with the second method for three background intensities:
     160\begin{enumerate}
     161\item Closed camera and no (Poissonian) fluctuation due to photons from the night sky background
     162\item The camera pointing to a galactic region with stars in the field of view
     163\item The camera illuminated by a continuous light source of high intensity causing much higher pedestal
     164fluctuations than in usual observation conditions.
     165\end{enumerate}
     166
     167Figures~\ref{fig:df:distped:run38993},~\ref{fig:df:distped:run38995},~\ref{fig:df:distped:run38996},
     168and~\ref{fig:amp:distped:run38993},~\ref{fig:amp:distped:run38995},~\ref{fig:amp:distped:run38996} show the
     169extracted pedestal distributions for the digital filter with cosmics weights (extractor~\#28) and the
     170spline amplitude (extractor~\#27), respectively for one examplary channel (corresponding to pixel 200).
     171One can see the (asymmetric) Poisson behaviour of the
     172night sky background photons for the distributions with open camera and the cutoff at the lower egde
     173for the distribution with high-intensity continuous light due to a limited pedestal offset and the cutoff
     174to negative fluctuations.
     175\par
     176Figures~\ref{fig:df:relmean:run38993},~\ref{fig:df:relmean:run38995},~\ref{fig:df:relmean:run38996},
     177and~\ref{fig:amp:relmean:run38993},~\ref{fig:amp:relmean:run38995},~\ref{fig:amp:relmean:run38996} show the
     178relative difference between the calculated pedestal mean and
     179the one obtained by applying the extractor for
     180all channels of the MAGIC camera. One can see that in all cases, the distribution is centered around zero,
     181while its width is never larger than 0.01 which corresponds about to the precision of the extracted mean for
     182the number of used events. (A very similar distribution is obtained by comparing the results
     183of the same pedestal calculator applied to different ranges of FADC slices.)
     184\par
     185Figures~\ref{fig:df:relrms:run38993},~\ref{fig:df:relrms:run38995},~\ref{fig:df:relrms:run38996},
     186and~\ref{fig:amp:relrms:run38993},~\ref{fig:amp:relrms:run38995},~\ref{fig:amp:relrms:run38996} show the
     187relative difference between the calculated pedestal RMS, normalized to an equivalent number of slices
     188(2.5 for the digital filter and 1. for the amplitude of the spline) and
     189the one obtained by applying the extractor for all channels of the MAGIC camera.
     190One can see that in all cases, the distribution is not centered around zero, but shows an offset depending
     191on the light intensity. The difference can be 10\% in the case of the digital filter and even 25\% for the
     192spline. This big difference for the spline is partly explained by the fact that the pedestals have to be
     193calculated from an even number of slices to account for the clock-noise. However, the (normalized) pedestal
     194RMS depends critically on the number of summed FADC slices, especially at very low numbers. In general,
     195the higher the number of summed FADC slices, the higher the (to the square root of the number of slices)
     196normalized pedestal RMS.
    157197
    158198\begin{figure}[htp]
     
    161201\caption{MExtractTimeAndChargeDigitalFilter: Distribution of extracted "pedestals"  from pedestal run with
    162202closed camera lids for one channel.}
     203\label{fig:df:distped:run38993}
    163204\vspace{\floatsep}
    164205\includegraphics[height=0.29\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38995_Signal_Pixel200.eps}
    165206\caption{MExtractTimeAndChargeDigitalFilter: Distribution of extracted "pedestals"  from pedestal run with galactic star background for one channel.}
     207\label{fig:df:distped:run38995}
    166208\vspace{\floatsep}
    167209\includegraphics[height=0.29\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38996_Signal_Pixel200.eps}
    168210\caption{MExtractTimeAndChargeDigitalFilter: Distribution of extracted "pedestals"  from run with
    169211continuous light level 100 for one channel.}
     212\label{fig:df:distped:run38996}
    170213\end{figure}
    171214
     
    173216\centering
    174217\includegraphics[height=0.27\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38993_RelMean.eps}
    175 \caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Mean Pedestal per FADC slice from pedestal run with closed camera lids}
     218\caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Mean Pedestal per FADC slice from pedestal
     219run with closed camera lids}
     220\label{fig:df:relmean:run38993}
    176221\vspace{\floatsep}
    177222\includegraphics[height=0.27\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38995_RelMean.eps}
    178 \caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Mean Pedestal per FADC slice from pedestal run with galactic star background}
     223\caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Mean Pedestal per FADC slice from pedestal
     224run with galactic star background}
     225\label{fig:df:relmean:run38995}
    179226\vspace{\floatsep}
    180227\includegraphics[height=0.27\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38996_RelMean.eps}
    181 \caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Mean Pedestal per FADC slice from run with continuous light level: 100}
     228\caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Mean Pedestal per FADC slice from run
     229with continuous light level: 100}
     230\label{fig:df:relmean:run38996}
    182231\end{figure}
    183232
     
    186235\centering
    187236\includegraphics[height=0.23\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38993_RMSRelDiff.eps}
    188 \caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Pedestal RMS per FADC slice (calculated out of 2 FADC slices each) from pedestal run
    189 with closed camera lids for inner (left) and outer (right) pixels. An equivalent number of 2.5 FADC slices has been
    190 used for the normalization of the pedestal RMS. The difference amounts to about 10\%.}
     237\caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Pedestal RMS per FADC slice
     238(calculated out of 2 FADC slices each) from pedestal run
     239with closed camera lids for inner (left) and outer (right) pixels. An equivalent number of 2.5 FADC slices
     240has been used for the normalization of the pedestal RMS. The difference amounts to about 10\%.}
     241\label{fig:df:relrms:run38993}
    191242\vspace{\floatsep}
    192243\includegraphics[height=0.23\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38995_RMSRelDiff.eps}
    193 \caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Pedestal RMS per FADC slice (calculated out of 2 FADC slices each) from pedestal run
    194  with galactic star background for inner (left) and outer (right) pixels. An equivalent number of 2.5 FADC slices
     244\caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Pedestal RMS per FADC slice
     245(calculated out of 2 FADC slices each) from pedestal run with galactic star background for inner (left)
     246and outer (right) pixels. An equivalent number of 2.5 FADC slices
    195247has been used for the normalization of the pedestal RMS. The difference amounts to about 4\%.}
     248\label{fig:df:relrms:run38995}
    196249\vspace{\floatsep}
    197250\includegraphics[height=0.23\textheight]{MExtractTimeAndChargeDigitalFilter_Weights_cosmics_weights.dat_Range_00_18_02_14_Run_38996_RMSRelDiff.eps}
    198 \caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Pedestal RMS per FADC slice (calculated out of 2 FADC slices each) from run
    199  with continuous light level: 100 for inner (left) and outer (right) pixels. An equivalent number of 2.5 FADC slices
     251\caption{MExtractTimeAndChargeDigitalFilter: Relative Difference Pedestal RMS per FADC slice
     252(calculated out of 2 FADC slices each) from run with continuous light level: 100 for inner (left)
     253and outer (right) pixels. An equivalent number of 2.5 FADC slices
    200254has been used for the normalization of the pedestal RMS. The difference amounts to about 3--5\%.}
     255\label{fig:df:relrms:run38996}
    201256\end{figure}
    202257
     
    207262\caption{MExtractTimeAndChargeSpline with amplitude: Distribution of extracted "pedestals"  from pedestal run
    208263with closed camera lids for one channel.}
     264\label{fig:amp:distped:run38993}
    209265\vspace{\floatsep}
    210266\includegraphics[height=0.29\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38995_Signal_Pixel200.eps}
    211267\caption{MExtractTimeAndChargeSpline with amplitude: Distribution of extracted "pedestals"  from pedestal run
    212268with galactic star background for one channel.}
     269\label{fig:amp:distped:run38995}
    213270\vspace{\floatsep}
    214271\includegraphics[height=0.29\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38996_Signal_Pixel200.eps}
    215272\caption{MExtractTimeAndChargeSpline with amplitude: Distribution of extracted "pedestals"  from run with
    216273continuous light level: 100 for one channel.}
     274\label{fig:amp:distped:run38996}
    217275\end{figure}
    218276
     
    220278\centering
    221279\includegraphics[height=0.27\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38993_RelMean.eps}
    222 \caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Mean Pedestal per FADC slice from pedestal run with closed camera lids}
     280\caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Mean Pedestal per FADC slice
     281from pedestal run with closed camera lids}
     282\label{fig:amp:relmean:run38993}
    223283\vspace{\floatsep}
    224284\includegraphics[height=0.27\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38995_RelMean.eps}
    225 \caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Mean Pedestal per FADC slice from pedestal run with galactic star background}
     285\caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Mean Pedestal per FADC slice
     286from pedestal run with galactic star background}
     287\label{fig:amp:relmean:run38995}
    226288\vspace{\floatsep}
    227289\includegraphics[height=0.27\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38996_RelMean.eps}
    228 \caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Mean Pedestal per FADC slice from run with continuous light level: 100}
     290\caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Mean Pedestal per FADC slice
     291from run with continuous light level: 100}
     292\label{fig:amp:relmean:run38996}
    229293\end{figure}
    230294
     
    233297\centering
    234298\includegraphics[height=0.23\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38993_RMSRelDiff.eps}
    235 \caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Pedestal RMS per FADC slice (calculated out of 2 FADC slices each)  from pedestal run
    236 with closed camera lids for inner (left) and outer (right) pixels. An equivalent number of 1 FADC slice has been
    237 used for the normalization of the pedestal RMS. The difference amounts to about 20\%.}
     299\caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Pedestal RMS per FADC slice
     300(calculated out of 2 FADC slices each)  from pedestal run
     301with closed camera lids for inner (left) and outer (right) pixels. An equivalent number of 1 FADC slice
     302has been used for the normalization of the pedestal RMS. The difference amounts to about 20\%.}
     303\label{fig:amp:relrms:run38993}
    238304\vspace{\floatsep}
    239305\includegraphics[height=0.23\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38995_RMSRelDiff.eps}
    240 \caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Pedestal RMS per FADC slice (calculated out of 2 FADC slices each)  from pedestal run
    241  with galactic star background for inner (left) and outer (right) pixels. An equivalent number of 1 FADC slice
     306\caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Pedestal RMS per FADC slice
     307(calculated out of 2 FADC slices each)  from pedestal run with galactic star background for inner (left)
     308and outer (right) pixels. An equivalent number of 1 FADC slice
    242309has been used for the normalization of the pedestal RMS. The difference amounts to about 25\%.}
     310\label{fig:amp:relrms:run38995}
    243311\vspace{\floatsep}
    244312\includegraphics[height=0.23\textheight]{MExtractTimeAndChargeSpline_Amplitude_Range_00_10_04_11_Run_38996_RMSRelDiff.eps}
    245 \caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Pedestal RMS per FADC slice (calculated out of 2 FADC slices each)  from run
    246  with continuous light level: 100 for inner (left) and outer (right) pixels. An equivalent number of 1 FADC slice
     313\caption{MExtractTimeAndChargeSpline with amplitude: Relative Difference Pedestal RMS per FADC slice
     314(calculated out of 2 FADC slices each)  from run with continuous light level: 100 for inner (left)
     315and outer (right) pixels. An equivalent number of 1 FADC slice
    247316has been used for the normalization of the pedestal RMS. The difference amounts to about 25\%.}
     317\label{fig:amp:relrms:run38996}
    248318\end{figure}
    249319
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