Reconstruction of the time shape of TileCal signals

The Hadronic Tile Calorimeter is readout using a dual gain ADC. In this note a method to reconstruct the time shape of signals from a single ADC channel is reported. Both calibration events (CIS) and events generated by beam particles are used. Although the electronic system shapes the input signal, some differences are found between the time shape of the signal exiting the photomultiplier and the one produced by the calibration circuit. The simulation of the shaper circuit allows to infer the time shape of the signal generated at the output of the photomultiplier when a beam particle crosses the calorimeter.