Stochastic Resonance Adding Noise to a signal can help in its detection. Just the right amount of noise must be added (resonance) SR in Nature Periodic.

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Presentation transcript:

Stochastic Resonance Adding Noise to a signal can help in its detection. Just the right amount of noise must be added (resonance) SR in Nature Periodic ice age prediction Crayfish warnings of approaching bass - a periodic fin motion Dogfish spit noise to better detection. Neurons

Stochastic Resonance What Causes SR? Mathematical Definition Non-Additive Noise Nonlinearities Mathematical Definition There is none

Example: Miyamoto Resonance Add noise to image and threshold. Vary noise. 0 15 30 60 90 120 180 240

Most Studied System 1/s dx/dt x ax-bx3 +  sin(t) (t)

Numerics (Mataim et al. 1998)

Numerics (Mataim et al. 1998)

Numerics (Mataim et al. 1998)

Comparison of NP Optimal Detector Coherent NP Correlator vs. Stochastic Resonance Assumptions Compared NP on input and after SR nonlinearity Detector COHERENT Noise = White Gaussian Galdi, Pierro, Pinto (Phys Review E, June 1998).

Comparison of NP Optimal Detectors Coherent NP Correlator vs. Stochastic Resonance (4 dB) Galdi, Pierro, Pinto (Phys Review E, June 1998).

Noncoherent Noncoherent SR sign detector Galdi, Pierro, Pinto (Phys Review E, June 1998).

Noncoherent Results Noncoherent correlator is about 3dB worse than coherent. Noncoherent SR is better than noncoherent correlator for low SNR Galdi, Pierro, Pinto (Phys Review E, June 1998).