Skip to main content
Log in

Enhancement of signal-to-noise ratio

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

It is shown that the ratio of signal-to-noise ratio at the output to that at the input can be made larger than unity when a nonlinear system is subjected to a weak periodic perturbation and a harmonic noise. This theoretical result is in conformity with the experimental observation published recently by R. Liet al.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Benzi, A. Sutera, and A. Vulpiani,J. Phys. A 14:L453 (1981).

    Google Scholar 

  2. C. Nicolis and G. Nicolis,Tellus 33:225 (1981).

    Google Scholar 

  3. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani,Tellus 34:10 (1982).

    Google Scholar 

  4. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani,SIAM J. Appl. Math. 43:565 (1983).

    Google Scholar 

  5. S. Fauve and F. Heslot,Phys. Lett. 97A:5 (1983).

    Google Scholar 

  6. B. Macnamara, K. Wisenfeld, and R. Roy,Phys. Rev. Lett. 60:2626 (1988).

    Google Scholar 

  7. B. Macnamara and K. Wisenfeld,Phys. Rev. A 39:4854 (1989).

    Google Scholar 

  8. R. Fox,Phys. Rev. A 39:4148 (1989).

    Google Scholar 

  9. Hu Gang, G. Nicolis, and C. Nicolis,Phys. Rev. A 42:2030 (1990).

    Google Scholar 

  10. P. Jung and P. Hanggi,Phys. Rev. A 44:8032 (1991).

    Google Scholar 

  11. M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks,Phys. Rev. Lett.,68:2985 (1992).

    Google Scholar 

  12. Gong De-chun, Hu Gang, Wen Xiao-dong, Yang Chun-yan, Qin Guang-rong, Li Rong, and Ding Da-fu,Phys. Rev. A 46:3243 (1992).

    Google Scholar 

  13. F. Mosset al., Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance-in Physics and Biology,J. Stat. Phys. 70(1/2) (1993).

  14. A. Perez-Madrid and J. M. Rubi,Phys. Rev. E 51:4159 (1995).

    Google Scholar 

  15. R. Li, G. Hu, C. Y. Yang, X. D. Wen, G. R. Qing, and H. J. Zhu,Phys. Rev. E 51:3964 (1995).

    Google Scholar 

  16. H. Risken,The Fokker-Planck Equation (Springer, New York, 1984).

    Google Scholar 

  17. S. Nakajima,Prog. Theor. Phys. 20:948 (1958); R. Zwanzig,J. Chem. Phys. 33:1338 (1960); H. Mori,Prog. Theor. Phys. 33:424 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dhara, A.K. Enhancement of signal-to-noise ratio. J Stat Phys 87, 251–271 (1997). https://doi.org/10.1007/BF02181487

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02181487

Key Words

Navigation