Use a novel figure of merit to evaluate the overall performance of SPAD

Based on the typical performance indicators in single photon detectors, a novel figure of merit (FoM) is proposed to quantify the overall performance of SPADs (Single Photon Avalanche Diodes). The overall performance comparison exists not only between different devices but also between the same devices under different operating conditions. In this paper, the same device under different operating conditions is used as an example. To verify the validity of the novel figure of merit, a fuzzy mathematical model is introduced from the perspective of statistical mathematics. A compromise fuzzy decision-making method is used to analyze when a device achieves optimal performance under different operating conditions. The weights of the performance indicators required by the method are obtained by the combination weighting approach which combines the analytic hierarchy process and entropy weight method. The results show that the optimal operating conditions obtained by fuzzy mathematical analysis are consistent with the results obtained from the new FoM, and thus the novel FoM we proposed is feasible.