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Timestamp:
02/21/05 15:59:39 (20 years ago)
Author:
hbartko
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*** empty log message ***
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  • trunk/MagicSoft/TDAS-Extractor/Reconstruction.tex

    r6552 r6648  
    33The FADC clock is not synchronized with the trigger. Therefore, the relative position of the recorded
    44signal 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 range
     5The time $\Delta t$ between the trigger decision and the first read-out sample is uniformly distributed in the range
    66$t_{\text{rel}} \in [0,T_{\mathrm{FADC}}[$, where $T_{\mathrm{FADC}}=3.33$\,ns is the digitization period of the MAGIC 300\,MHz FADCs.
    7 It can be determined using the reconstructed arrival time
     7$\Delta t$ can be determined using the reconstructed arrival time
    88$t_{\mathrm{arrival}}$.%directly by a time to digital converter (TDC) or
    99
     
    3030
    3131The 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 times
     32signal samples: The recorded signal samples are shifted in time such that the shifted arrival times
    3333of all events are equal. In addition, the signal samples are normalized event by event using the
    3434reconstructed 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.
     35of 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.
    3636
    3737
     
    8181reconstructed 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
    8282much 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 wider
     83The 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
    8484and has a pronounced tail.
    8585
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