Stochastic Resonance · Integrate-and-Fire Neuron

Stochastic Resonance:
Firing rate: — Hz
Signal power: —
Noise floor: —
SNR: — dB
Optimal σ: —

Integrate-and-fire: dV/dt = -(V-V_rest)/τ + I(t) + σ·ξ(t). Fires when V≥θ, resets. Sub-threshold signal alone can't cross threshold. Adding noise enables stochastic firing synchronized with signal — SNR peaks at optimal noise level. Counter-intuitive: noise HELPS detection!