A self-adaptive stochastic resonator with logarithmic transfer

We introduce a new self-adaptive stochastic resonator system as a simple model for sensing mechanisms. The model is based on a level-crossing detector (LCD) with stepwise, dynamically increasing and relaxing threshold level after each firing event. The transfer function is found to be logarithmic-like over a wide range (six decades) of the input signal amplitude. Results on its dynamical response and adaptation characteristics are in accordance with adaptation and overshooting phenomena at real sensing.