Effects of DCR, PDE and Saturation on the Energy Resolution of Digital SiPMs for PET

In this paper, we use the SPADnet-I sensor, a fully digital 8x16 SiPM array with per-SPAD SRAMs, to analyze the effects of photon detection efficiency (PDE), dark count rate (DCR) and saturation on the energy resolution of PET systems. We show that the mini-SiPM compression schemes of SPADnet-I result in a total photon loss of about 6% for a 511 keV gamma scintillation in a 3 x3x5 mm(3) LYSO crystal. The behavior of the sensor energy resolution with respect to variations in PDE and DCR is measured and modeled. The optimum operation point is found to be at circa 4% of the high-DCR SPADs disabled, resulting in 10.6% energy resolution. Moreover, from the described model, we show that integrating per-SPAD SRAMs onchip actually has a negative effect in the sensor energy resolution, as the DCR decrease is not sufficient to compensate the reduced fill-factor. Finally, we show that below a certain level of DCR, the optimum operation point shifts to 100% of the SPADs enabled, completely eliminating any gains from integrating per-SPAD SRAMs.