中国物理B ›› 2007, Vol. 16 ›› Issue (2): 340-345.doi: 10.1088/1009-1963/16/2/012

• GENERAL • 上一篇    下一篇

Evidence of parameter-induced aperiodic stochastic resonance with fixed noise

李建龙   

  1. Institute of Information and Communication Engineering, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2006-05-24 修回日期:2006-08-31 出版日期:2007-02-20 发布日期:2007-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10332030) and the State Key Program for Basic Research of China (Grant No 5132103ZZT21B).

Evidence of parameter-induced aperiodic stochastic resonance with fixed noise

Li Jian-Long(李建龙)†   

  1. Institute of Information and Communication Engineering, Zhejiang University, Hangzhou 310027, China
  • Received:2006-05-24 Revised:2006-08-31 Online:2007-02-20 Published:2007-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10332030) and the State Key Program for Basic Research of China (Grant No 5132103ZZT21B).

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摘要： Stochastic resonance (SR) is based on the cooperative effect between the stochastic dynamical system and the external forcing. As is well known, the cooperative effect is produced by adding noises. In this paper, we show the evidence that by changing the system parameters and the signal intensity, a nonlinear system in the presence of an input aperiodic signal can yield the cooperative effect, with the noise fixed. To quantify the nonlinear system output, we determine the theoretical bit error rate (BER). By numerical simulation, the validity of the theoretical derivation is checked. Besides, we show that parameter-induced SR is more realizable than SR via adding noises, especially when the noise intensity exceeds the resonance level, or when the characteristic of the noise is not known.

Abstract: Stochastic resonance (SR) is based on the cooperative effect between the stochastic dynamical system and the external forcing. As is well known, the cooperative effect is produced by adding noises. In this paper, we show the evidence that by changing the system parameters and the signal intensity, a nonlinear system in the presence of an input aperiodic signal can yield the cooperative effect, with the noise fixed. To quantify the nonlinear system output, we determine the theoretical bit error rate (BER). By numerical simulation, the validity of the theoretical derivation is checked. Besides, we show that parameter-induced SR is more realizable than SR via adding noises, especially when the noise intensity exceeds the resonance level, or when the characteristic of the noise is not known.

Key words: aperiodic stochastic resonance, tuning parameters, bit error rate

中图分类号:  (Stochastic processes)

  • 02.50.Ey
02.60.Cb (Numerical simulation; solution of equations) 05.40.Ca (Noise) 05.45.-a (Nonlinear dynamics and chaos)