Diffusion in SPAD Signals

• URL: http://arxiv.org/abs/2601.07599v1
• Date: Mon, 12 Jan 2026 14:49:39 GMT
• Title: Diffusion in SPAD Signals
• Abstract summary: We derive the likelihood of a raw signal in a single photon avalanche diode (SPAD), given a fixed photon flux.<n>The raw signal comprises timing of detection events, which are nonlinearly related to the flux.<n>This is a key for solving inverse problems based on SPAD signals.
• Score: 5.41217420805355
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We derive the likelihood of a raw signal in a single photon avalanche diode (SPAD), given a fixed photon flux. The raw signal comprises timing of detection events, which are nonlinearly related to the flux. Moreover, they are naturally stochastic. We then derive a score function of the signal. This is a key for solving inverse problems based on SPAD signals. We focus on deriving solutions involving a diffusion model, to express image priors. We demonstrate the effect of low or high photon counts, and the consequence of exploiting timing of detection events.

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