| 1 | \section{Conclusions \label{sec:conclusion}} | 
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| 2 |  | 
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| 3 | In the past, many MAGIC analyses have been conducted using different signal extractors. | 
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| 4 | We developed and tested the most important signal and time extraction algorithms in the standard MAGIC software | 
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| 5 | framework MARS. Our findings are that using a right signal extractor is important since some of the investigated ones | 
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| 6 | differ considerably in quality and can severely degrade the subsequent analyses. On the other hand, we have found that | 
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| 7 | advanced signal reconstruction algorithms open a new window to lower analysis energy threshold and permit to use the | 
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| 8 | time information of shower analyses. | 
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| 9 | \par | 
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| 10 | In order to give a guideline for future usage of the tested signal extractors, we consider the following | 
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| 11 | requirements to be of most importance: | 
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| 12 |  | 
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| 13 | \begin{itemize} | 
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| 14 | \item The calibration (including the F-Factor method) has to run stably and yield reliable results for all pixels. | 
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| 15 | \item The extracted signal should be as linear as possible over the whole dynamic range, including especially the | 
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| 16 | low-gain range. | 
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| 17 | \item The combined resolution and bias should result in a lowest possible image cleaning threshold. | 
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| 18 | \item The extracted time should yield the best possible resolution. | 
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| 19 | \end{itemize} | 
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| 20 |  | 
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| 21 | Following these requirements, we recommend to exclude in the future the following signal extraction algorithms: | 
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| 22 |  | 
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| 23 | \begin{itemize} | 
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| 24 | \item All fixed window extractors using a window size of up to 6~FADC slices, | 
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| 25 | including the fixed window peak search algorithm. | 
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| 26 | \item All sliding window extractors using a window size of up to 4~FADC slices. | 
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| 27 | \item The amplitude extracting spline. | 
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| 28 | \end{itemize} | 
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| 29 |  | 
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| 30 | For a conservative and stable analysis, we recommend to use (except for the December~2004 and January~2005 data): | 
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| 31 |  | 
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| 32 | \begin{itemize} | 
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| 33 | \item The sliding window, using an extraction window size of 6--8~FADC slices for the high-gain and 8~FADC slices for the | 
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| 34 | low-gain channel. | 
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| 35 | \end{itemize} | 
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| 36 |  | 
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| 37 | For the most demanding analyses, especially at low energies and using the timing information, we recommend: | 
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| 38 |  | 
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| 39 | \begin{itemize} | 
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| 40 | \item The spline algorithm, integrating from 0.5~FADC slices before the pulse maximum to 1.5~FADC slices after the | 
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| 41 | pulse maximum and computing the position of the half-maximum at the rising edge of the pulse. | 
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| 42 | \item The digital filter fitting the pulse over 4~or 6~FADC slices in the high-gain region and 6~FADC slices in the | 
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| 43 | low-gain region. | 
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| 44 | \end{itemize} | 
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| 45 |  | 
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| 46 | Unfortunately, part of our recent data, taken in December~2004 and January~2005 had a severe problem with the pulse location | 
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| 47 | within the recorded FADC slices. In the recorded samples, the low-gain pulse is situated so far to the right that a part of | 
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| 48 | it reaches out of the recorded window. This poses severe problems to all extractors which integrate the entire low-gain pulse. | 
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| 49 | We have seen that the spline extractor and the digital filter over 4~FADC slices are still capable to reconstruct the low-gain | 
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| 50 | pulse properly for this partly corrupt data sample, although the linearity of the reconstructed signal might still be affected above | 
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| 51 | signals of about 300~photo-electrons per pixel. | 
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| 52 |  | 
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| 53 | \par | 
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| 54 |  | 
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| 55 | Special caution has to be made if the F-Factor method is applied for calibration with signal extractors which have an | 
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| 56 | intensity-dependent resolution. This applies especially to the spline algorithms and the digital filter over a window size | 
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| 57 | of 4~FADC slices. | 
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| 58 |  | 
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| 59 | %%% Local Variables: | 
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| 60 | %%% mode: latex | 
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| 61 | %%% TeX-master: "MAGIC_signal_reco" | 
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| 62 | %%% TeX-master: "MAGIC_signal_reco" | 
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| 63 | %%% End: | 
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