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Currently inorganic scintillator detectors are used in all commercial Time ofFlight Positron Emission Tomograph (TOF-PET) devices. The J-PET collaborationinvestigates a possibility of construction of a PET scanner from plasticscintillators which would allow for single bed imaging of the whole human body.This paper describes a novel method of hit-position reconstruction based onsampled signals and an example of an application of the method for a singlemodule with a 30 cm long plastic strip, read out on both ends by HamamatsuR4998 photomultipliers. The sampling scheme to generate a vector with samplesof a PET event waveform with respect to four user-defined amplitudes isintroduced. The experimental setup provides irradiation of a chosen position inthe plastic scintillator strip with an annihilation gamma quanta of energy511~keV. The statistical test for a multivariate normal (MVN) distribution ofmeasured vectors at a given position is developed, and it is shown that signalssampled at four thresholds in a voltage domain are approximately normallydistributed variables. With the presented method of a vector analysis made outof waveform samples acquired with four thresholds, we obtain a spatialresolution of about 1 cm and a timing resolution of about 80 ps

Novel method for hit-position reconstruction using voltage signals in plastic scintillators and its application to Positron Emission Tomography