  Presently, the MAGIC telescope uses a 300 MHz FADC system to sample the
transmitted and shaped signals from the captured Cherenkov light of air
showers. We describe a method of Digital Filtering of the FADC samples to
extract the charge and the arrival time of the signal: Since the pulse shape is
dominated by the electronic pulse shaper, a numerical fit can be applied to the
FADC samples taking the noise autocorrelation into account. The achievable
performance of the digital filter is presented and compared to other signal
reconstruction algorithms.
