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Implement waveform simulation and hit finding algorithm for mPMT #9
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This PR should be merged after PR #7
This PR implements the hit finding algorithm as described in issue #8
In addition, the simulated waveform and the Q and T pulls (digi minus truth) can be saved in the output file.
Waveform simulation
Implementation in
HitDigitizer_mPMT::BuildWavetrain()
For each photon hit, the expected voltage is sampled at a 8 ns interval.
There is no variation in the 1PE pulse shape, but the sampling time (relative to t=0 in the 1PE pulse shape) is dependent on the photon detection time, which introduces randomness in the sampled waveform. Below are the few examples.
If there are multiple photons arriving a PMT in a short time, the waveforms are added together. Below are the examples of a 2-photon (left) and 4-photon (right) waveform.
Hit finding algorithm
Implementation in
HitDigitizer_mPMT::FitWavetrain()
Each waveform is scanned to find the local maxima that satisfy trigger conditions. Then digi time is estimated using Constant Fraction Discriminator, and digi Q from the sum of eight samples around the maximum.
Below are the pull distributions (digi minus truth) from a 156 MeV kinetic energy pi+ beam particle simulation in WCTE. For a multi-photon hit, true time is defined as the first photon detection time, true charge is the number of photons, in a time interval of (-1, +8)*8ns around the digi time.
Time pull is usually small. Meanwhile the digi charge can be off by more than 1 unit, due to photons arriving at a time larger than the charge integration window but less than the dead time period. Figures below show such waveforms.