Changeset 5700 for trunk/MagicSoft

Timestamp:

01/05/05 12:55:14 (20 years ago)

Author:

gaug

Message:

*** empty log message ***

File:

• trunk/MagicSoft/TDAS-Extractor/Reconstruction.tex (modified) (2 diffs)

trunk/MagicSoft/TDAS-Extractor/Reconstruction.tex

@@ -1 +1 @@
 \section{Pulse Shape Reconstruction}
 
-The clock of the FADC read-out is not synchronized with the trigger. Therefore the relative position of the recorded signal samples with respect to the position of the signal shape varies event by event. The time between the trigger decision and the first read-out sample is uniformly distributed in the range
-$t_{\text{rel}} \in [0,3.33[$ ns and can be determined using the reconstructed arrival time $t_{\mathrm{arrival}}$.%directly by a time to digital converter (TDC) or 
+The FADC clock is not synchronized with the trigger. Therefore, the relative position of the recorded 
+signal samples varies  from event to event with respect to the position of the signal shape. 
+The time between the trigger decision and the first read-out sample is uniformly distributed in the range
+$t_{\text{rel}} \in [0,3.33)$ ns and can be determined using the reconstructed arrival time 
+$t_{\mathrm{arrival}}$.%directly by a time to digital converter (TDC) or 
+\par
+\ldots {\textit{MAYBE a PLOT TO DEMONSTRATE THIS?}}
+\parr
+The asynchronous sampling of the pulse shape allows to determine an average pulse shape from the recorded 
+signal samples: The recorded signal samples can be shifted in time such that the shifted arrival times 
+of all events are equal. In addition, the signal samples are normalized event by event using the 
+reconstructed charge of the pulse. The accuracy of the signal shape reconstruction depends on the accuracy 
+of the arrival time and the signal charge reconstruction.
 
-The asynchronous sampling of the pulse shape allows to determine an average pulse shape from the recorded signal samples: The recorded signal samples are shifted in time such that the shifted arrival times of all events are equal. In addition the signal samples are normalized event by event using the reconstructed charge of the pulse. The accuracy of the signal shape reconstruction depends on the accuracy of the arrival time and the signal charge reconstruction.
+Figure~\ref{fig:pulpo_shape_high} show the average reconstructed signal of a fast pulser in the so called ``pulpo setup''. Clearly visible are the high and the low gain pulses. The low gain pulse is attenuated by a factor of about 10 and delayed by about 50 ns with respect to the high gain pulse.
 
-Figure \ref{fig:pulpo_shape_high} show the average reconstructed signal of a fast pulser in the so called ``pulpo setup''. Clearly visible are the high and the low gain pulses. The low gain pulse is attenuated by a factor of about 10 and delayed by about 50 ns with respect to the high gain pulse.
-
-Figures \ref{fig:pulpo_shape_low} show the average normalized reconstructed pulse shapes for pulse generator pulses (pulpo setup) in the high and in the low gain, respectively. The input FWHM of the pulse generator pulses is about 2 ns. The FWHM of the average reconstructed high gain pulse shape is about 6.3 ns, while the FWHM of the average reconstructed low gain pulse shape is about 10 ns. The pulse broadening of the low gain pulses with respect to the high gain pulses is due to the electric 50 ns on board delay line of the MAGIC receiver boards. %   while the FWHM of the average reconstructed low gain pulse shape is 
+Figures~\ref{fig:pulpo_shape_low} show the average normalized reconstructed pulse shapes for pulse generator pulses (pulpo setup) in the high and in the low gain, respectively. The input FWHM of the pulse generator pulses is about 2 ns. The FWHM of the average reconstructed high gain pulse shape is about 6.3 ns, while the FWHM of the average reconstructed low gain pulse shape is about 10 ns. The pulse broadening of the low gain pulses with respect to the high gain pulses is due to the electric 50 ns on board delay line of the MAGIC receiver boards. %   while the FWHM of the average reconstructed low gain pulse shape is 
 % Due to the electric delay line for the low gain pules on the receiver board the low gain pulse is widened with respect to the high gain. It has a FWHM of about 10 ns.
 
@@ -56 +65 @@
 %%% mode: latex
 %%% TeX-master: "MAGIC_signal_reco"
+%%% TeX-master: "MAGIC_signal_reco"
 %%% End: