Changeset 5919 for trunk

Timestamp:

01/21/05 08:54:08 (20 years ago)

Author:

gaug

Message:

*** empty log message ***

Location:

trunk/MagicSoft/TDAS-Extractor

Files:

• Algorithms.tex (modified) (4 diffs)
• Performance.tex (modified) (2 diffs)

trunk/MagicSoft/TDAS-Extractor/Algorithms.tex

@@ -260 +260 @@
 \subsubsection{Sliding Window with Amplitude-Weighted Time}
 
-This extractor is implemented in the MARS-class {\textit{MExtractTimeAndChargeSlidingWindow}}.
+This extractor is implemented in the MARS-class {\textit{\bf MExtractTimeAndChargeSlidingWindow}}.
 It extracts the signal from a sliding window of an adjustable size, for high-gain and low-gain 
-individually (default: 6 and 6) The signal is the one which maximizes the summed 
-(clock-noise and pedestal-corrected) FADC slice contents.
+individually (default: 6 and 6). The signal is the one which maximizes the summed 
+(clock-noise and pedestal-corrected) consecutive FADC slice contents.
 \par
 The amplitude-weighted arrival time is calculated from the window with 
-the highest integral using the following formula:
-
-\begin{equation}
-  t = \frac{\sum_{i=0}^{windowsize} s_i \cdot i}{\sum_{i=0}^{windowsize} i} 
-\end{equation}
-where $i$ denotes the FADC slice index, starting from the beginning of the extraction
-window and running over the window and $s_i$ the clock-noise and 
+the highest FADC slice contents integral using the following formula:
+
+\begin{equation}
+  t = \frac{\sum_{i=i_0}^{i_0+ws} s_i \cdot i}{\sum_{i=i_0}^{i_0t+ws} i} 
+\end{equation}
+where $i$ denotes the FADC slice index, starting from $i_0$
+window and running over a window of size $ws$. $s_i$ the clock-noise and 
 pedestal-corrected FADC slice contents at slice position $i$. 
 \par
-The following free adjustable parameters have to be set from outside: 
+The following adjustable parameters have to be set from outside: 
 \begin{description}
 \item[Window sizes:\xspace] Independently for high-gain and low-gain (default: 6,6)
@@ -284 +284 @@
   \includegraphics[width=0.49\linewidth]{MExtractTimeAndChargeSlidingWindow_23Led_Blue.eps}
 \caption[Sketch calculated arrival times MExtractTimeAndChargeSlidingWindow]{%
-Sketch of the calculated arrival times for the extractor {\textit{MExtractTimeAndChargeSlidingWindow}} 
+Sketch of the calculated arrival times for the extractor {\textit{\bf MExtractTimeAndChargeSlidingWindow}} 
 for two typical calibration pulses (pedestals have been subtracted) and a typical inner pixel. 
 The extraction window sizes modify the position of the (amplitude-weighted) mean FADC-slices slightly.
-The pulse would be shifted half a slice to the right for an outer pixels. }
+The pulse would be shifted half a slice to the right for an outer pixel. }
 \label{fig:slidingwindowsketch}
 \end{figure}
@@ -293 +293 @@
 \subsubsection{Cubic Spline with Sliding Window or Amplitude Extraction}
 
-This extractor is implemented in the MARS-class {\textit{MExtractTimeAndChargeSpline}}.
+This extractor is implemented in the MARS-class {\textit{\bf MExtractTimeAndChargeSpline}}.
 It interpolates the FADC contents using a cubic spline algorithm, adapted from \cite{NUMREC}. 
-The following free adjustable parameters have to be set from outside: 
+In a second step, it searches for the position of the spline maximum. From then on, two 
+possibilities are offered:
+
+\begin{enumerate}
+\item[Extraction Type Amplitude:\xspace] The amplitude of the spline maximum is taken as charge signal
+and the (precisee) position of the maximum is returned as arrival time. This type is faster, since it 
+performs not spline intergraion . 
+\item[Extraction Type Integral:\xspace] The integrated spline between maximum position minus 
+rise time (default: 1.5 slices) and maximum position plus fall time (default: 4.5 slices) 
+is taken as charge signal and the position of the half maximum left from the position of the maximum 
+is returned as arrival time (default). 
+The low-gain signal stretches the rise and fall time by a stretch factor (default: 1.5). This type 
+is slower, but yields more precise results (see section~\ref{sec:performance}) . 
+The charge integration resolution is set to 0.1 FADC slices.
+\end{enumerate}
+
+The following adjustable parameters have to be set from outside: 
 
 \begin{description}
@@ -700 +716 @@
 %%% TeX-master: "MAGIC_signal_reco"
 %%% TeX-master: "MAGIC_signal_reco"
+%%% TeX-master: "MAGIC_signal_reco"
 %%% End: 

trunk/MagicSoft/TDAS-Extractor/Performance.tex

@@ -1 @@
-\section{Performance}
+\section{Performance \label{sec:performance}}
 
 \subsection{Calibration}
@@ -735 +735 @@
 %%% TeX-master: "MAGIC_signal_reco"
 %%% TeX-master: "MAGIC_signal_reco"
+%%% TeX-master: "MAGIC_signal_reco"
 %%% End: