Index: /trunk/MagicSoft/TDAS-Extractor/Calibration.tex =================================================================== --- /trunk/MagicSoft/TDAS-Extractor/Calibration.tex (revision 6634) +++ /trunk/MagicSoft/TDAS-Extractor/Calibration.tex (revision 6635) @@ -727,9 +727,9 @@ in order to count how many times the extractor has failed to reconstruct the correct arrival time. \par -Figure~\ref{fig:time:5ledsuv} shows the number of outliers for the different time extractors, obtained with +Figure~\ref{fig:timeunsuit:5ledsuv} shows the number of outliers for the different time extractors, obtained with a UV pulse of about 20 photo-electrons. One can see that all time extractors yield an acceptable mis-reconstruction rate of about 0.5\%, except for the maximum searching spline yields three times more mis-reconstructions. \par -If one goes to very low-intensity pulses, as shown in figure~\ref{fig:time:1leduv}, obtained with on average 4 photo-electrons, +If one goes to very low-intensity pulses, as shown in figure~\ref{fig:timeunsuit:1leduv}, obtained with on average 4 photo-electrons, the number of mis-reconstructions increases considerably up to 20\% for some extractors. We interpret this high mis-reconstruction rate to the increase possibility to mis-reconstruct a pulse from the night sky background noise instead of the signal pulse from the @@ -737,10 +737,10 @@ in that respect. \par -The same conclusion seems to hold for the green pulse of about 20 photo-electrons (figure~\ref{fig:time:2ledsgreen}) +The same conclusion seems to hold for the green pulse of about 20 photo-electrons (figure~\ref{fig:timeunsuit:2ledsgreen}) where the digital filter over 6 FADC slices seems to yield more stable results than the one over 4 FADC slices. The half-maximum searching spline seems to be superior to the maximum-searching one. \par -In figure~\ref{fig:time:23ledsblue}, one can see the number of outliers from an intense calibration pulse of blue light yielding about +In figure~\ref{fig:timeunsuit:23ledsblue}, one can see the number of outliers from an intense calibration pulse of blue light yielding about 600 photo-electrons per inner pixel. All extractors seem to be stable, except for the digital filter with weigths over 4 FADC slices. This is expected, since the low-gain pulse is wider than 4 FADC slices. @@ -757,5 +757,5 @@ for the outer pixels. Points denote the mean of all not-excluded pixels, the error bars their RMS.} -\label{fig:time:5ledsuv} +\label{fig:timeunsuit:5ledsuv} \end{figure} @@ -769,5 +769,5 @@ for the outer pixels. Points denote the mean of all not-excluded pixels, the error bars their RMS.} -\label{fig:time:1leduv} +\label{fig:timeunsuit:1leduv} \end{figure} @@ -780,5 +780,5 @@ for the outer pixels. Points denote the mean of all not-excluded pixels, the error bars their RMS.} -\label{fig:time:2ledsgreen} +\label{fig:timeunsuit:2ledsgreen} \end{figure} @@ -791,5 +791,5 @@ for the outer pixels. Points denote the mean of all not-excluded pixels, the error bars their RMS.} -\label{fig:time:23ledsblue} +\label{fig:timeunsuit:23ledsblue} \end{figure} @@ -803,44 +803,41 @@ \begin{enumerate} -\item The intrinsic arrival time spread of the photons on the PMT. This time spread -can be estimated roughly by the intrinsic width $\delta t_{\mathrm{LED}}$ -of the calibration pulses of about 2\,ns -for the faster UV pulses and 3--4\,ns for the green and blue pulses. The resulting time +\item The intrinsic arrival time spread of the photons on the PMT: This time spread +can be estimated roughly by the intrinsic width $\delta t_{\mathrm{IN}}$ of the +input light pulse. +The resulting time resolution is given by: \begin{equation} -\Delta t \approx \frac{\delta t_{\mathrm{LED}}}{\sqrt{Q/{\mathrm{phe}}}} +\Delta t \approx \frac{\delta t_{\mathrm{IN}}}{\sqrt{Q/{\mathrm{phe}}}} \end{equation} - - -For our -calibration LEDs this can be up to about 2 ns, for muons it is about a -few hundreds of ps and for hadrons a few ns. The error of the mean -arrival time of the total pulse is again the arrival time spread of the -photons divided by the number of photo electrons. -\item The intrinsic transit time spread TTS of the PMT. It can be in the order -of a few hundreds of ps per single photo electron. When we reconstruct -the mean pulse arrival time the error of the mean is given by the time -spread per single photo electron dividid by the square root of number of -photo electrons. -\item reconstruction error due to noise and error of the numeric fit in -case of the digital filter. In case of the digital filter the error for -the standard noise level in the MC is about 2.7 ns divided by the signal -in photo electrons. +The width $\delta t_{\mathrm{LED}}$ of the calibration pulses of about 2\,ns +for the faster UV pulses and 3--4\,ns for the green and blue pulses, +for muons it is a few hundred ps, for gammas about 1\,ns and for hadrons a few ns. +\item The intrinsic transit time spread $\mathrm{\it TTS}$ of the photo-multiplier: +It can be of the order of a few hundreds of ps per single photo electron, depending on the +wavelength of the incident light. As in the case of the photon arrival time spread, the total +time spread scales with the inverse of the square root of the number of photo-electrons: +\begin{equation} +\Delta t \approx \frac{\delta t_{\mathrm{TTS}}}{\sqrt{Q/{\mathrm{phe}}}} +\end{equation} +\item The reconstruction error due to the background noise: This contribution is proportional to the +signal to square root of background light intensities. \end{enumerate} -All this seems to quite agree with the results obtained with the MC -TestPulses. As 1) and 2) are proportional to one over the square root of -the signal and 3 is proportional to one over the signal, for small -pulses the noise determins the resolution, but for larger pulses the -intrinsic fluctuations limit the timing resolution. - -When we get a time resolution of about 300 ps for calibration LED pulses -we can not distinquish 1) and 2). Thus we have to wait for the exact -measurement. - - -\begin{figure}[htp] -\centering -\includegraphics[width=0.95\linewidth]{TimeResExtractor-5LedsUV-Colour-12.eps} +Additionally to these intrinsic and irreducible contributions to the timing resolutions, the limited precision of the + extractors adds an additional time spread. In the following, we show measurements of the time resolutions at different +signal intensities in real conditions for the calibration pulses. These set upper limits to the time resolution for cosmics since their +intrinsic arrival time spread is smaller. + +Figures~\ref{fig:time:5ledsuv} through~\ref{fig:time:23ledsblue} show the measured time resolutions for very different calibration +pulse intensities and colours. One can see that the sliding window resolutions are always worse than the spline and digital filter +algorithms. Moreover, the half-maximum position search by the spline is always slightly better than the maximum position search. The +digital filter does not show notable differences with respect to the pulse form or the extraction window size, except for the low-gain +extraction where the 4 slices seem to yield a better resolution. This is only after excluding about 30\% of the events, as shown in +figure~\ref{fig:timeunsuit:23ledsblue}. + +\begin{figure}[htp] +\centering +\includegraphics[height=0.38\textheight]{TimeResExtractor-5LedsUV-Colour-12.eps} \caption{Reconstructed arrival time resolutions from a typical, not saturating calibration pulse of colour UV, reconstructed with each of the tested arrival time extractors. @@ -853,5 +850,5 @@ \begin{figure}[htp] \centering -\includegraphics[width=0.95\linewidth]{TimeResExtractor-1LedUV-Colour-04.eps} +\includegraphics[height=0.38\textheight]{TimeResExtractor-1LedUV-Colour-04.eps} \caption{Reconstructed arrival time resolutions from the lowest intensity calibration pulse of colour UV (carrying a mean number of 4 photo-electrons), @@ -865,5 +862,5 @@ \begin{figure}[htp] \centering -\includegraphics[width=0.95\linewidth]{TimeResExtractor-2LedsGreen-Colour-02.eps} +\includegraphics[height=0.38\textheight]{TimeResExtractor-2LedsGreen-Colour-02.eps} \caption{Reconstructed arrival time resolutions from a typical, not saturating calibration pulse of colour Green, reconstructed with each of the tested arrival time extractors. @@ -876,5 +873,5 @@ \begin{figure}[htp] \centering -\includegraphics[width=0.95\linewidth]{TimeResExtractor-23LedsBlue-Colour-00.eps} +\includegraphics[height=0.38\textheight]{TimeResExtractor-23LedsBlue-Colour-00.eps} \caption{Reconstructed arrival time resolutions from the highest intensity calibration pulse of colour blue, reconstructed with each of the tested arrival time extractors. @@ -884,4 +881,6 @@ \label{fig:time:23ledsblue} \end{figure} + +\clearpage @@ -904,4 +903,7 @@ \end{figure} +\subsubsection{An Upper Limit for the Average Intrinsic Time Spread of the Photo-multipliers} + + \begin{figure}[htp] Index: /trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex =================================================================== --- /trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex (revision 6634) +++ /trunk/MagicSoft/TDAS-Extractor/MonteCarlo.tex (revision 6635) @@ -5,11 +5,11 @@ \begin{figure}[htp]%%[t!] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_FixW_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_FixW_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_FixW_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_FixW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_FixW_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_FixW_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_FixW_NoNoise_LoGain.eps} + \vspace{\floatsep} + \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 @@ -20,11 +20,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_SlidW_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_SlidW_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_SlidW_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_SlidW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_SlidW_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_SlidW_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_SlidW_NoNoise_LoGain.eps} + \vspace{\floatsep} + \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 @@ -35,11 +35,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_DFSpline_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_DFSpline_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_DFSpline_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_DFSpline_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_DFSpline_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_DFSpline_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeDivNphevsNphe_DFSpline_NoNoise_LoGain.eps} + \vspace{\floatsep} + \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 @@ -50,12 +50,12 @@ \begin{figure}[htp]%%[t!] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_FixW_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_FixW_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_FixW_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_FixW_WithNoise_LoGain.eps} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeDivNphevsNphe_FixW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_FixW_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_FixW_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_FixW_NoNoise_LoGain.eps} + \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, @@ -67,11 +67,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_SlidW_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_SlidW_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_SlidW_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_SlidW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_SlidW_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_SlidW_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_SlidW_NoNoise_LoGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_SlidW_WithNoise_LoGain.eps} \caption[Bias Sliding Windows]{The measured bias (extracted charge divided by the conversion factor minus the number of photoelectrons) versus number of photoelectrons, @@ -83,11 +83,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_DFSpline_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_DFSpline_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_DFSpline_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ConversionvsNphe_DFSpline_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_DFSpline_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_DFSpline_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_DFSpline_NoNoise_LoGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ConversionvsNphe_DFSpline_WithNoise_LoGain.eps} \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, @@ -99,11 +99,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_FixW_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_FixW_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_FixW_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_FixW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_FixW_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_FixW_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_FixW_NoNoise_LoGain.eps} + \vspace{\floatsep} + \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 @@ -114,11 +114,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_SlidW_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_SlidW_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_SlidW_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_SlidW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_SlidW_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_SlidW_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_SlidW_NoNoise_LoGain.eps} + \vspace{\floatsep} + \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 @@ -129,11 +129,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_DFSpline_NoNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_DFSpline_WithNoise_HiGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_DFSpline_NoNoise_LoGain.eps} - \vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_ChargeRes_DFSpline_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_DFSpline_NoNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_DFSpline_WithNoise_HiGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_DFSpline_NoNoise_LoGain.eps} + \vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_ChargeRes_DFSpline_WithNoise_LoGain.eps} \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, @@ -177,11 +177,11 @@ \begin{figure}[htp]%%[t!] \centering - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_SlidW_NoNoise_HiGain.eps} -\vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_SlidW_WithNoise_HiGain.eps} -\vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_SlidW_NoNoise_LoGain.eps} -\vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_SlidW_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_SlidW_NoNoise_HiGain.eps} +\vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_SlidW_WithNoise_HiGain.eps} +\vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_SlidW_NoNoise_LoGain.eps} +\vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_SlidW_WithNoise_LoGain.eps} \caption[Time Resolution Sliding Windows]{The measured time resolution (RMS of extracted time minus simulated time) versus number of photoelectrons, @@ -193,11 +193,11 @@ \begin{figure}[htp] \centering - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_DFSpline_NoNoise_HiGain.eps} -\vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_DFSpline_WithNoise_HiGain.eps} -\vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_DFSpline_NoNoise_LoGain.eps} -\vspace{\floatsep} - \includegraphics[width=0.49\linewidth]{TDAS_TimeRes_DFSpline_WithNoise_LoGain.eps} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_DFSpline_NoNoise_HiGain.eps} +\vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_DFSpline_WithNoise_HiGain.eps} +\vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_DFSpline_NoNoise_LoGain.eps} +\vspace{\floatsep} + \includegraphics[width=0.49\linewidth]{TimeAndChargePlots/TDAS_TimeRes_DFSpline_WithNoise_LoGain.eps} \caption[Time Resolution Spline and Digital Filter]{The measured time resolution (RMS of extracted time minus simulated time) versus number of photoelectrons,