Fig 6. Suboptimal integrate-fire-Snyder on bumps outperforms MMSE linear filtering on known photons.

The integrate-fire-Snyder was run for γ = [5, 10, 20, 30] and results across 10 independent 8000 photon long light model trajectories given. The error-bars delineate the minimum to maximum of the MSE curves for each γ. Clearly there exist several γ over which the integrate-fire on all cascade noise does better than the linear MMSE on just photon noise, across a wide β range. Given the disparity, applying linear or continuity approximations can be a strongly misleading measure of the noise performance of discrete stochastic systems.