Changeset 6644

Timestamp:

02/21/05 13:04:14 (20 years ago)

Author:

hbartko

Message:

*** empty log message ***

File:

• trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex (modified) (4 diffs)

trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex

@@ -107 +107 @@
 \end{figure}
 
+\clearpage
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 \subsection{Measurement of the Biases \label{sec:mc:baises}}
 
+We fitted the conversion factors obtained from the previous section in the constant region (above 10\,phe) and used 
+them to convert the extracted charge back to equivalent photo-electrons. After subtracting the simulated number of photo-electrons, 
+the bias (in units of photo-electrons) is obtained. 
+\par
+Figure~\ref{fig:mc:ConversionvsNphe_FixW} through~\ref{fig:mc:ChargeRes_DFSpline} show the results for the tested extractors, with and 
+without added noise and for the high and low-gain regions separately.
+\par
+As expected, the fixed window extractor do not show any bias up to statistical precision. All sliding window extractor, however, do show
+a bias. Usually, the bias vanishes for signals above 5--10~photo-electrons, except for the sliding windows with window sizes above 
+8~FADC slices. There, the bias only vanishes for signals above 20~photo-electrons. The size of the bias as well as the minimum signal
+strength above which the bias vanishes are clearly correlated with the extraction window size. Therefore, smaller window sizes yield
+smaller biases and extend their linear range further downwards. The best extractors have a negligible bias above about 5 photo-electrons. 
+This corresponds to the results found in section~\ref{sec:pedestals} where the lowest image cleaning threshold for extra-galactic 
+noise levels yielded about 5 photo-electrons as well.
+\par
+All integrating spline extractors and all sliding window extractors with extraction windows above or equal 6 FADC slices
+ yield the comparably smallest biases. The rest results to be about a factor 1.5 higher. The spline and digital filter biases fall 
+down very steeply.
+
+
 \begin{figure}[htp]%%[t!]
 \centering
@@ -120 +142 @@
   \vspace{\floatsep}
   \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_FixW_WithNoise_LoGain.eps}
-  \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_FixW_WithNoise_LoGain.eps}
 \caption[Bias Fixed Windows]{The measured bias (extracted charge divided by the conversion factor minus the number of photoelectrons) 
 versus number of photoelectrons, 
@@ -159 +180 @@
 \label{fig:mc:ConversionvsNphe_DFSpline}
 \end{figure}
+
+\clearpage
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\subsection{Measurement of the Resolutions \label{sec:mc:resolutions}}
 
 \begin{figure}[htp]
@@ -208 +235 @@
 \clearpage
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
+
 \subsection{Charge Signals with and without Simulated Noise \label{fig:mc:sec:mc:chargenoise}}