Stochastic Resonance — Noise-Enhanced Signal Detection (v2)

Optimal noise level boosts weak signal detection in bistable systems and neurons

Signal

Amplitude A: 0.65 Frequency f: 0.08 Hz Threshold θ: 1.0

Noise

Noise σ: 0.60 Potential barrier Δ: 1.0

SNR = —

Stochastic resonance: adding noise to a subthreshold signal can increase SNR. Optimal σ*(Δ, A) maximizes output SNR. Benzi 1981, Nicolis 1981 — originally proposed to explain ice age periodicity.

System

Bistable double-well V(x):

Stochastic Resonance — Noise-Enhanced Detection (v2)

Signal

Noise

System