摘要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.
Abstract: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.
HUANG Jia-Min;TAO Wei-Ming**;XU Bo-Hou. Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise[J]. 中国物理快报, 2012, 29(1): 10501-010501.
HUANG Jia-Min, TAO Wei-Ming**, XU Bo-Hou. Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise. Chin. Phys. Lett., 2012, 29(1): 10501-010501.
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