Compressive Sensing of Signals Generated in Plastic Scintillators in a Novel J-PET Instrument

Abstract

The J-PET scanner, which allows for single bed imaging of the whole human body, is currently under development at the Jagiellonian University. The dis- cussed detector offers improvement of the Time of Flight (TOF) resolution due to the use of fast plastic scintillators and dedicated electronics allowing for sam- pling in the voltage domain of signals with durations of few nanoseconds. In this paper we show that recovery of the whole signal, based on only a few samples, is possible. In order to do that, we incorporate the training signals into the Tikhonov regularization framework and we perform the Principal Component Analysis decomposition, which is well known for its compaction properties. The method yields a simple closed form analytical solution that does not require iter- ative processing. Moreover, from the Bayes theory the properties of regularized solution, especially its covariance matrix, may be easily derived. This is the key to introduce and prove the formula for calculations of the signal recovery error. In this paper we show that an average recovery error is approximately inversely proportional to the number of acquired samples.

References in corpus (4)

• Test of a single module of the J-PET scanner based on plastic scintillators
• A novel method for the line-of-response and time-of-flight reconstruction in TOF-PET detectors based on a library of synchronized model signals
• Novel method for hit-position reconstruction using voltage signals in plastic scintillators and its application to Positron Emission Tomography
• A novel method based solely on FPGA units enabling measurement of time and charge of analog signals in Positron Emission Tomography

Cited by in corpus (23)

• Time resolution of the plastic scintillator strips with matrix photomultiplier readout for J-PET tomograph
• Evaluation of Single-Chip, Real-Time Tomographic Data Processing on FPGA - SoC Devices
• Measurement of gamma quantum interaction point in plastic scintillator with WLS strips
• Multichannel FPGA based MVT system for high precision time (20~ps~RMS) and charge measurement
• A feasibility study of ortho-positronium decays measurement with the J-PET scanner based on plastic scintillators
• Trilateration-based reconstruction of ortho-positronium decays into three photons with the J-PET detector
• Estimating the NEMA characteristics of the J-PET tomograph using the GATE package
• Feasibility studies of the polarization of photons beyond the optical wavelength regime with the J-PET detector
• Sampling FEE and Trigger-less DAQ for the J-PET Scanner
• Calculation of time resolution of the J-PET tomograph using the Kernel Density Estimation
• Optimisation of the event-based TOF filtered back-projection for online imaging in total-body J-PET
• Synchronisation and calibration of the 24-modules J-PET prototype with 300~mm axial field of view
• Studies of unicellular micro-organisms Saccharomyces cerevisiae by means of Positron Annihilation Lifetime Spectroscopy
• Commissioning of the J-PET detector for studies of decays of positronium atoms
• Hit time and hit position reconstruction in the J-PET detector based on a library of averaged model signals
• Reconstruction of hit-time and hit-position of annihilation quanta in the J-PET detector using the Mahalanobis distance
• Searches for discrete symmetries violation in ortho-positronium decay using the J-PET detector
• Beam profile investigation of the new collimator system for the J-PET detector
• PALS investigations of free volumes thermal expansion of J-PET plastic scintillator synthesized in polystyrene matrix
• Time calibration of the J-PET detector
• Application of the Compress Sensing Theory for Improvement of the TOF Resolution in a Novel J-PET Instrument
• Introduction of total variation regularization into filtered backprojection algorithm
• Hit-time and hit-position reconstruction in strips of plastic scintillators using multi-threshold readouts