Changeset 6642 for trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex

Timestamp:

02/20/05 20:14:16 (20 years ago)

Author:

gaug

Message:

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• trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex (modified) (15 diffs)

trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex

@@ -40 +40 @@
 per photo-electron, independent of the signal strength.
 \item The trigger jitter was set to be uniformly distributed over 1~FADC slice only.
-\end{itemize}
-
+\item Only one inner pixel has been simulated.
+\end{itemize}
+
+The last point had the consequence that the extractor {\textit {\bf MExtractFixedWindowPeakSearch}} could not be tested since 
+it was equivalent to the sliding window. 
 In the following, we used the Monte-Carlo to determine especially the following quantities for each of the tested extractors:
 
@@ -51 +54 @@
 \end{itemize}
 
-\subsection{Charge Signals with Simulated Noise \label{sec:mc:charge}}
+\subsection{Conversion Factors \label{sec:mc:convfactors}}
+
+In the following figures~\ref{fig:mc:ChargeDivNphe_FixW} through~\ref{fig:mc:ChargeDivNphe_DFSpline} show the conversion factors 
+between reconstructed charge and the number of input photo-electrons for each of the tested extractors, with and without added noise 
+and for the high-gain and low-gain channels, respectively. One can see that the conversion factors depend on the extraction window size and 
+that the addition of noise raises the conversion factors uniformly for all fixed window extractors in the high-gain channel, 
+while the sliding window extractors show a bias a low signal intensities.
 
 \begin{figure}[htp]%%[t!]
@@ -63 +72 @@
   \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_FixW_WithNoise_LoGain.eps}
 \caption[Charge per Number of photo-electrons Fixed Windows]{Extracted charge per photoelectron versus number of photoelectrons, 
-for fixed window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ChargeDivNphe_FixW}
+for fixed window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ChargeDivNphe_FixW}
 \end{figure}
 
@@ -78 +87 @@
   \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_SlidW_WithNoise_LoGain.eps}
 \caption[Charge per Number of photo-electrons Sliding Windows]{Extracted charge per photoelectron versus number of photoelectrons, 
-for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ChargeDivNphe_SlidW}
+for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ChargeDivNphe_SlidW}
 \end{figure}
 
@@ -93 +102 @@
   \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_DFSpline_WithNoise_LoGain.eps}
 \caption[Charge per Number of photo-electrons Spline and Digital Filter]{Extracted charge per photoelectron versus number of photoelectrons, 
-for spline and digital filter extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ChargeDivNphe_DFSpline}
-\end{figure}
+for spline and digital filter extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ChargeDivNphe_DFSpline}
+\end{figure}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 \begin{figure}[htp]%%[t!]
@@ -110 +121 @@
 \caption[Bias Fixed Windows]{The measured bias (extracted charge divided by the conversion factor minus the number of photoelectrons) 
 versus number of photoelectrons, 
-for fixed window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ConversionvsNphe_FixW}
+for fixed window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ConversionvsNphe_FixW}
 \end{figure}
 
@@ -126 +137 @@
 \caption[Bias Sliding Windows]{The measured bias (extracted charge divided by the conversion factor minus the number of photoelectrons) 
 versus number of photoelectrons, 
-for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ConversionvsNphe_SlidW}
+for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ConversionvsNphe_SlidW}
 \end{figure}
 
@@ -142 +153 @@
 \caption[Bias Spline and Digital Filter]{The measured bias (extracted charge divided by the conversion factor minus the number of photoelectrons) 
 versus number of photoelectrons, 
-for spline and digital filter extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ConversionvsNphe_DFSpline}
+for spline and digital filter extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ConversionvsNphe_DFSpline}
 \end{figure}
 
@@ -157 +168 @@
   \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_FixW_WithNoise_LoGain.eps}
 \caption[Charge Resolution Fixed Windows]{The measured resolution (RMS of extracted charge divided by the conversion factor minus the number of photoelectrons) versus number of photoelectrons, 
-for fixed window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ChargeRes_FixW}
+for fixed window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ChargeRes_FixW}
 \end{figure}
 
@@ -172 +183 @@
   \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_SlidW_WithNoise_LoGain.eps}
 \caption[Charge Resolution Sliding Windows]{The measured resolution (RMS of extracted charge divided by the conversion factor minus the number of photoelectrons) versus number of photoelectrons, 
-for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ChargeRes_SlidW}
+for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ChargeRes_SlidW}
 \end{figure}
 
@@ -188 +199 @@
 \caption[Charge Resolution Spline and Digital Filter]{The measured resolution 
 (RMS of extracted charge divided by the conversion factor minus the number of photoelectrons) versus number of photoelectrons, 
-for spline and digital filter extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{ChargeRes_DFSpline}
+for spline and digital filter extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:ChargeRes_DFSpline}
 \end{figure}
 
 \clearpage
 
-\subsection{Charge Signals with and without Simulated Noise \label{sec:mc:chargenoise}}
+\subsection{Charge Signals with and without Simulated Noise \label{fig:mc:sec:mc:chargenoise}}
 
 \begin{figure}[htp]
@@ -206 +217 @@
 \caption[Bias due to noise high-gain]{Bias due to noise: Difference of extracted charge of same events, with and without simulated noise, 
 for different extractor methods in the high-gain region.}
-\label{Bias_HiGain}
+\label{fig:mc:Bias_HiGain}
 \end{figure}
 
@@ -218 +229 @@
 \caption[Bias due to noise low-gain]{Bias due to noise: Difference of extracted charge of same events, with and without simulated noise, 
 for different extractor methods in the low-gain region.}
-\label{Bias_LoGain}
+\label{fig:mc:Bias_LoGain}
 \end{figure}
 
@@ -236 +247 @@
 \caption[Time Resolution Sliding Windows]{The measured time resolution (RMS of extracted time minus simulated time) 
 versus number of photoelectrons, 
-for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{TimeRes_SlidW}
+for sliding window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:TimeRes_SlidW}
 \end{figure}
 
@@ -252 +263 @@
 \caption[Time Resolution Spline and Digital Filter]{The measured time resolution (RMS of extracted time minus simulated time) 
 versus number of photoelectrons, 
-for spline and digital filter window extractors in different window sizes. The top plots show the high-gain and the bottom ones show the 
-low-gain regions. Left: without noise, right: with simulated noise.}
-\label{TimeRes_DFSpline}
+for spline and digital filter window extractors in different window sizes. The top plots show the high-gain and the bottom ones 
+low-gain regions. Left: without noise, right: with simulated noise.}
+\label{fig:mc:TimeRes_DFSpline}
 \end{figure}