Skip to main content

A Probabilistic Approach to Noise-Added Systems

  • Chapter
Stochastic Resonance

Abstract

The main features of noise-added systems can be summarised as the possibility of both improving the system’s features without destructive action on the device and optimising the performance of systems operating in a noisy environment [19].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, “Stochastic Resonance in Bistable Systems”, Phys. Rev. Lett. 62, 1989, 49.

    Article  Google Scholar 

  2. Roberto Benzi, Alfonso Sutera and Angelo Vulpiani, “The mechanism of stochastic resonance”, J. Phys. A: Math. Gentile. 14, 1981, L453.

    Article  MathSciNet  Google Scholar 

  3. S. FAUVE and F. Heslot, “Stochastic Resonance in a Bistable Systems”, Phys. Lett. 97A.1983, 5.

    Google Scholar 

  4. F. Marchesoni, E. Menichella-Saetta, M. Pochini and S. Santucci, “Analog simulation of underdamped system driven by colored noise: Spectral densities”, Phys. Rev. A 37, 1988, 3058

    Article  Google Scholar 

  5. Francois Chapeau-Blondeau, Xavier Godivier, and Nicolas Chambet, “Stochastic resonance in a neuron model that transmit spike trains”, Phys. Rev. E 53, 1996, 1273.

    Article  Google Scholar 

  6. L. Gammaitoni, M. Martinelli, and L. Pardi, “Observation of Stochastic Resonance in Bistable Electron-Paramagnetic-Resonance Systems”, Phys. Rev. Letters, Vol.67, N. 13, 1991, 1799.

    Article  Google Scholar 

  7. Paolo Carbone and Dario Petri, “Effect of Additive Dither on the Resolution of Ideal Quantizer”, IEEE Transaction on instrumentation and measurement Vol. 43, N. 3, 1994, 389.

    Article  Google Scholar 

  8. Paolo Carbone, Claudio Narduzzi, and Dario Petri, “Performance of Stochastic Quantizer Employing Nonlinear Processing”, IEEE Transaction on instrumentation and measurement Vol. 45, N. 2, 1996, 435.

    Article  Google Scholar 

  9. Luca Gammaitoni, “Stochastic Resonance and the dithering effect in threshold physical systems”, Phys. Rev. E 52, 1995, 4691.

    Google Scholar 

  10. L. Gammaitoni, P. Hanggi, P. Jung, F. Marchesoni, “Stochastic Resonance”, Rev. Of Modern Physics vol. 70, 1, 1998.

    Google Scholar 

  11. B. Andò, S. Baglio, S. Graziani, N. Pitrone., 1999, “Optimal improvement in bistable measurement device perfromance via stochastic resonance.” INT. J. ELECTRONICS, vol 86, n. 7.

    Google Scholar 

  12. B. Andò, S. Baglio, S. Graziani, N. Pitrone, “A probabilistic approach to the threshold error reduction theory in bistable measurement devices”, IMTC98, S. Paul, Minnesota, 1998.

    Google Scholar 

  13. B. Andò, S. Baglio, S. Graziani, N. Pitrone, “Characterisation of threshold error via stochastic resonance”, in: IMEKO’ 97, Helsinki, 1997

    Google Scholar 

  14. B. Andò, S. Baglio, S. Graziani, N. Pitrone, “Virtual instruments with low threshold error based on stochastic resonance theory”, SICICA’ 97, Annecy, France, 1997.

    Google Scholar 

  15. B. Andò, S. Baglio, S. Graziani, N. Pitrone, “Threshold error reduction in linear measurement devices by adding noise signal”, IMTC98, S. Paul, Minnesota, 1998.

    Google Scholar 

  16. A. Papoulis, “Probability, Random Variables, and Stochastic Process”, McGRAW-HILL BOOK COMPANY.

    Google Scholar 

  17. B. Andò, S. Baglio, S. Graziani, N. Pitrone, “A system for the implementation of noise added System driving”, IMTC’99, Venezia, 1999.

    Google Scholar 

  18. Ernest O. Doebelin, “Measurement Systems”, McGRAW-HILL BOOK COMPANY, third edition, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Andò, B., Graziani, S. (2000). A Probabilistic Approach to Noise-Added Systems. In: Andò, B., Graziani, S. (eds) Stochastic Resonance. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4391-6_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-4391-6_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6975-2

  • Online ISBN: 978-1-4615-4391-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics