Index: trunk/MagicSoft/TDAS-Extractor/Results.tex =================================================================== --- trunk/MagicSoft/TDAS-Extractor/Results.tex (revision 6659) +++ trunk/MagicSoft/TDAS-Extractor/Results.tex (revision 6660) @@ -1,3 +1,37 @@ \section{Results} + +Based on the previous investigations, we summarize the obtained results in table~\ref{tab:result}. The following criteria +have been used to compare the extractors: + +\begin{itemize} +\item Stability of the reconstructed charge in the calibration. Extractors with more than 5\% of the pixels excluded from the +calibration with any colour or intensity are considered as too unstable. Also extractors yielding more than 0.1\% mis-reconstructed +events are excluded. Moreover, the correct number of photo-electrons should be reconstructed at least for the standard calibration +pulses (10\,LEDs\,UV). +\item The extractor should yield stable results against slight modifications of the pulse shape. +\item The extractor must also yield the correct charges for the low-gain pulses on average. +\item The reconstructed charge must be linear to the input signal charge for all signals above the image cleaning level and below +the low-gain saturation level. +\item The resolution of the reconstructed charge should not depend significantly on the signal amplitude, especially should never +become comparable to the intrinsic Poissonian signal fluctuations. +\item The resolution of the reconstructed charge should not exceed twice the resolution of the best extractor. +\item The extractor should not have a charge bias bigger than its charge resolution. +\item The time resolution should not be worse than twice the one obtainable with the best extractor. +\item The number of mis-reconstruced times should not exceed 1\% on average (including the FADC jumps). +\item The needed CPU-time should not exceed the one required for reading the data into memory and writing it to disk. +\end{itemize} + +Table~\ref{tab:result} shows which extractors fulfill the above criteria. One can see that there are a handful extractors which +are excluded by only one criterion: + +\begin{itemize} +\item The sliding window extracting 8 slices in high- and low-gain which is only excluded by the poor resolution at very low intensities. + +\item The integrating spline over 2 FADC slices which still needs to be optimized somewhat for speed. +\end{itemize} + +The digital filter passes all tests, where the extraction over 4 FADC slices yields still superior resolutions compared to the one +over 6~FADC slices. + \newcommand{\no}{\textcolor{red}{\bf NO\xspace}} @@ -17,46 +51,46 @@ \hline \hline -Nr. & Name & Res. & Res. & Bias & Stab. & Stab. & Stab. & Res. & Stab. & Lin. & Speed \\ - & & $\widehat{S}$ & $\widehat{S}$ & $\widehat{S}$ & $\widehat{S}$ & pulse & low- & $\widehat{T}$ & $\widehat{T}$ & $\widehat{S}$ & \\ - & & size & const. & & & shape & gain & & & & \\ +Nr. & Name &Stab. &Stab. & Stab. &Lin. & Res. & Res. & Bias & Res. & Stab. & Speed \\ + & &$\widehat{S}$&pulse & low- &$\widehat{S}$&$\widehat{S}$&$\widehat{S}$& $\widehat{S}$&$\widehat{T}$& $\widehat{T}$ & \\ + & &calib. &shape & gain & size & const. & & & & & \\ \hline \hline -1 & Fix Win. (4,4) & \no & \no & -- & \ok & \no & \no & n/a & n/a & \no & \best \\ -2 & Fix Win. (4,6) & \no & \no & -- & \ok & \no & \no & n/a & n/a & \no & \best \\ -3 & Fix Win. (6.6) & \ok & \ok & -- & \ok & \ok & \no & n/a & n/a & \ok & \ok \\ -4 & Fix Win. (8,8) & \no & \ok & -- & \ok & \ok & \ok & n/a & n/a & \best & \ok \\ -5 & Fix W. (14,10) & \no & \ok & -- & \no & \ok & \ok & n/a & n/a & \best & \ok \\ -\hline -6 & FW. Spl. (4,4) & \ok & \no & -- & \ok & \no & \no & n/a & n/a & \no & \ok \\ -7 & FW. Spl. (4,6) & \ok & \no & -- & \ok & \no & \no & n/a & n/a & \no & \ok \\ -8 & FW. Spl. (6.6) & \ok & \ok & -- & \ok & \ok & \no & n/a & n/a & \no & \ok \\ -9 & FW. Spl. (8,8) & \no & \ok & -- & \ok & \ok & \ok & n/a & n/a & \ok & \ok \\ -10 & FW. Spl (14,10) & \no & \ok & -- & \no & \ok & \ok & n/a & n/a & \ok & \ok \\ -\hline -11 & FW. Pk S. (2,2)& \no & \no & -- & \no & \no & \no & n/a & n/a & \no & \ok \\ -12 & FW. Pk S. (4,4)& \no & \no & -- & \ok & \no & \no & n/a & n/a & \no & \ok \\ -13 & FW. Pk S. (4.6)& \no & \no & -- & \ok & \no & \no & n/a & n/a & \no & \ok \\ -14 & FW. Pk S. (6,6)& \ok & \ok & -- & \ok & \ok & \no & n/a & n/a & \no & \ok \\ -15 & FW. Pk S. (8,8)& \no & \ok & -- & \ok & \ok & \ok & n/a & n/a & \ok & \ok \\ -16 & FW Pk S (14,10)& \no & \ok & -- & \no & \ok & \ok & n/a & n/a & \ok & \ok \\ -\hline -17 & Slid. W. (2,2) & \ok & \no & \ok & \ok & \no & \no & \no & \no & \no & \ok \\ -18 & Slid. W. (4,4) & \ok & \ok & \ok & \ok & \ok & \ok & \no & \no & \no & \ok \\ -19 & Slid. W. (4.6) & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \no & \ok & \ok \\ -20 & Slid. W. (6,6) & \no & \ok & \ok & \ok & \ok & \ok & \no & \ok & \ok & \best \\ -21 & Slid. W. (8,8) & \no & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \best \\ -22 & Slid. W. (14,10) & \no & \no & \ok & \ok & \ok & \ok & \no & \ok & \ok & \best \\ -\hline -23 & Spline Ampl. & \ok & \no & \no & \no & \nt & \ok & \ok & \no & \no & \ok \\ - & & & & & & \test & & & & & \\ -24 & Splne Int. (1,1.5) & \ok & \no & \ok & \ok & \nt & \ok & \best & \ok & \no & \ok \\ - & & & & & & \test & & & & & \\ -25 & Spline Int. (2,3) & \ok & \ok & \ok & \best&\nt & \ok & \best & \ok & \ok & \no \\ - & & & & & & \test & & & & & \\ -26 & Spline Int. (4,6) & \ok & \ok & \ok & \ok & \ok & \ok & \best & \ok & \ok & \no \\ -27 & Spline Int. (6,9) & \no & \ok & \best& \ok & \ok & \ok & \best & \ok & \ok & \no \\ +1 & Fix Win. (4,4) & \no & \no & \no & \no & \no & \no & -- & n/a & n/a &\best\\ +2 & Fix Win. (4,6) & \no & \no & \no & \no & \no & \no & -- & n/a & n/a &\best\\ +3 & Fix Win. (6.6) & \ok & \ok & \no & \ok & \ok & \ok & -- & n/a & n/a & \ok \\ +4 & Fix Win. (8,8) & \no & \ok & \ok &\best& \no & \ok & -- & n/a & n/a & \ok \\ +5 & Fix W. (14,10) & \no & \ok & \ok &\best& \no & \ok & -- & n/a & n/a & \ok \\ +\hline +6 & FW. Spl. (4,4) & \ok & \no & \no & \no & \ok & \no & -- & n/a & n/a & \ok \\ +7 & FW. Spl. (4,6) & \ok & \no & \no & \no & \ok & \no & -- & n/a & n/a & \ok \\ +8 & FW. Spl. (6.6) & \no & \ok & \no & \no & \ok & \ok & -- & n/a & n/a & \ok \\ +9 & FW. Spl. (8,8) & \no & \ok & \ok & \ok & \no & \ok & -- & n/a & n/a & \ok \\ +10 & FW. Spl (14,10) & \no & \ok & \ok & \ok & \no & \ok & -- & n/a & n/a & \ok \\ +\hline +11 & FW. Pk S. (2,2) & \no & \no & \no & \no & \no & \no & -- & n/a & n/a & \ok \\ +12 & FW. Pk S. (4,4) & \ok & \no & \no & \no & \no & \no & -- & n/a & n/a & \ok \\ +13 & FW. Pk S. (4.6) & \ok & \no & \no & \no & \no & \no & -- & n/a & n/a & \ok \\ +14 & FW. Pk S. (6,6) & \ok & \ok & \no & \no & \ok & \ok & -- & n/a & n/a & \ok \\ +15 & FW. Pk S. (8,8) & \no & \ok & \ok & \ok & \no & \ok & -- & n/a & n/a & \ok \\ +16 & FW Pk S (14,10) & \no & \ok & \ok & \ok & \no & \ok & -- & n/a & n/a & \ok \\ +\hline +17 & Slid. W. (2,2) & \ok & \no & \no & \no & \ok & \no & \ok & \no & \no & \ok \\ +18 & Slid. W. (4,4) & \ok & \ok & \ok & \no & \ok & \ok & \ok & \no & \no & \ok \\ +19 & Slid. W. (4.6) & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \no & \ok \\ +20 & Slid. W. (6,6) & \ok & \ok & \ok & \ok & \no & \ok & \ok & \no & \ok &\best\\ +21 & Slid. W. (8,8) & \ok & \ok & \ok & \ok & \no & \ok & \ok & \ok & \ok &\best\\ +22 & Slid. W. (14,10) & \no & \ok & \ok & \ok & \no & \no & \ok & \no & \ok &\best\\ +\hline +23 & Spline Ampl. & \no &\nt & \ok & \no & \no & \no & \no &\ok & \no & \ok \\ + & & &\test& & & & & & & & \\ +24 & Splne Int. (1,1.5) & \ok &\nt & \ok & \no & \no & \no & \ok &\best& \ok & \ok \\ + & & &\test& & & & & & & & \\ +25 & Spline Int. (2,3) &\best&\nt & \ok & \ok & \ok & \ok & \ok &\best& \ok & \no \\ + & & &\test& & & & & & & & \\ +26 & Spline Int. (4,6) & \ok &\ok & \ok & \ok & \ok & \ok & \ok &\best& \ok & \no \\ +27 & Spline Int. (6,9) & \ok &\ok & \ok & \ok & \no & \ok &\best&\best& \ok & \no \\ \hline -28 & Dig. Filt. (6,6) & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \ok & \ok \\ -29 & Dig. Filt. (4,4) & \best & \no & \ok & \ok & \ok & \ok & \best& \ok & \ok & \ok \\ +28 & Dig. Filt. (6,6) & \ok &\ok & \ok & \ok & \ok & \ok & \ok &\ok & \ok & \ok \\ +29 & Dig. Filt. (4,4) & \ok &\ok & \ok & \ok & \ok &\best& \ok &\best& \ok & \ok \\ \hline \hline