Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise

We evaluate the performance of a typical asymmetric bistable system for detecting aperiodic signal under Lévy stable noise. A Grünwald–Letnikov implicit finite difference method is employed to solve the fractional Fokker–Planck equation numerically. The noise-induced stochastic resonance (SR) and the parameter-induced SR both exist in the asymmetric bistable systems. The increase of the skewness parameter γ may deteriorate the system performance. However, by tuning the system parameters, the effects of asymmetry on the system performance can be reduced.