Changeset 6648 for trunk/MagicSoft/TDAS-Extractor/Reconstruction.tex
- Timestamp:
- 02/21/05 15:59:39 (20 years ago)
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trunk/MagicSoft/TDAS-Extractor/Reconstruction.tex
r6552 r6648 3 3 The FADC clock is not synchronized with the trigger. Therefore, the relative position of the recorded 4 4 signal samples varies from event to event with respect to the position of the signal shape. 5 The time between the trigger decision and the first read-out sample is uniformly distributed in the range5 The time $\Delta t$ between the trigger decision and the first read-out sample is uniformly distributed in the range 6 6 $t_{\text{rel}} \in [0,T_{\mathrm{FADC}}[$, where $T_{\mathrm{FADC}}=3.33$\,ns is the digitization period of the MAGIC 300\,MHz FADCs. 7 Itcan be determined using the reconstructed arrival time7 $\Delta t$ can be determined using the reconstructed arrival time 8 8 $t_{\mathrm{arrival}}$.%directly by a time to digital converter (TDC) or 9 9 … … 30 30 31 31 The asynchronous sampling of the pulse shape allows to determine an average pulse shape from the recorded 32 signal samples: The recorded signal samples can be shifted in time such that the shifted arrival times32 signal samples: The recorded signal samples are shifted in time such that the shifted arrival times 33 33 of all events are equal. In addition, the signal samples are normalized event by event using the 34 34 reconstructed charge of the pulse. The accuracy of the signal shape reconstruction depends on the accuracy 35 of the arrival time and charge reconstruction. The statistical error of the reconstructed pulse shape is well below $10^{-2}$ while the systematical error is by definition unknown at first hand.35 of the arrival time and charge reconstruction. The relative statistical error of the reconstructed pulse shape is well below $10^{-2}$ while the systematical error is by definition unknown at first hand. 36 36 37 37 … … 81 81 reconstructed pulse shape for cosmics events, both have a FWHM of about 6.3 ns. As air showers due to hadronic cosmic rays trigger the telescope 82 82 much more frequently than gamma showers the reconstructed pulse shape of the cosmics events corresponds mainly to hadron induced showers. 83 The pulse shape due to electromagnetic air showers might be slightly different . The pulse shape for green calibration LED pulses is wider83 The pulse shape due to electromagnetic air showers might be slightly different as indicated by MC simulations \cite{MC_timing_Indians}. The pulse shape for green calibration LED pulses is wider 84 84 and has a pronounced tail. 85 85
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