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Express, vol. 26, no. 17, p. 22234-22248, Aug. 2018.\u003cbr\u003e\u003cbr\u003eThe first three sections output the F factor described in the paper. The fourth section plots the theoretical response, standard deviation and signal-to-noise ratio for the three recharge mechanisms. \u003cbr\u003e\u003cbr\u003eMeasured and detected counts are denoted with m and n, respectively, and normalized to 1/Tdead, where Tdead is the dead time of SPAD imagers. When following the Quanta Image Sensor notation, m/Tdead is the bit density D or electrons, and n/Tdead is the exposure H.\u003cbr\u003e\u003cbr\u003eThe fifth section verifies the theoretical curves with simulations results, which are plotted in the last section of the script. 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