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Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise |
| HUANG Jia-Min, TAO Wei-Ming**, XU Bo-Hou |
| Department of Mechanics, Zhejiang University, Hangzhou 310027 |
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| Cite this article: |
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HUANG Jia-Min, TAO Wei-Ming, XU Bo-Hou 2012 Chin. Phys. Lett. 29 010501 |
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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.
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| Keywords:
05.40.-a
05.45.-a
05.40.Fb
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Received: 01 January 1900
Published: 07 February 2012
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.40.Fb
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(Random walks and Levy flights)
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