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Stochastic Resonance in Nonlinear Multiple Signal Detection for Four Representative Noises

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Advances in Computer, Communication, Control and Automation

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 121))

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Abstract

Stochastic resonance (SR) is an interesting phenomenon of noise-assisted signal transmission or signal processing through certain nonlinear systems. This paper discusses SR in nonlinear multiple signal detection for four representative noises based on a maximum a posterior probability (MAP) criterion. The performance of detection is assessed by the probability of detection error P er . When the signal is suprathreshold, the P er increases monotonously with the noise intensity and noise always degenerates signal detection. However, when the signal is subthreshold, the P er shows non-monotonous variations and noise can improve multiple signal detection, i.e., SR exists. The efficacy of SR is significantly improved and the minimum of P er can dramatically approach to zero as the sample number increases. These results extend the applicability of SR in multiple signal detection.

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References

  1. Benzi, R., Srutera, A., Vulpiani, A.: The Mechanism of Stochastic Resonance. J. Phys. A 4(11), 453–457 (1981)

    Article  Google Scholar 

  2. McNamara, B., Wiesenfeld, K.: Theory of stochastic resonance. Physical Review A 39, 4854–4869 (1989)

    Article  Google Scholar 

  3. Kay, S.: Can detectability be improved by adding noise? IEEE Signal Processing Letters 7(1), 8–10 (2000)

    Article  MathSciNet  Google Scholar 

  4. Chapeau-Blondeau, F.: Stochastic resonance for an optimal detector with phase noise. Signal Processing 83, 665–670 (2003)

    Article  MATH  Google Scholar 

  5. Chapeau-Blondeau, F., Rousseau, D.: Constructive action of additive noise in optimal detection. International Journal of Bifurcation and Chaos 15(9), 2985–2994 (2005)

    Article  MATH  Google Scholar 

  6. Wang, Y.-G., Wu, L.-N.: Stochastic resonance in nonlinear signal detection. International Journal of Signal Processing 2(3), 108–113 (2006)

    Google Scholar 

  7. Wang, Y.-G., Wu, L.-N.: Nonlinear signal detection from an array of threshold devices for non-Gaussian noise. Digital Signal Processing 17, 76–89 (2007)

    Article  Google Scholar 

  8. Chen, H., Varshney, P.K., Kay, S., Michels, J.H.: Theory of the stochastic resonance effect in signal detection: part I-Fixed detectors. IEEE Transactions on Signal Processing 55(7), 3172–3183 (2007)

    Article  MathSciNet  Google Scholar 

  9. Chen, H., Varshney, P.K.: Theory of the stochastic resonance effect in signal detection: part II-variable detectors. IEEE Transactions on Signal Processing 56(10), 5031–5041 (2008)

    Article  MathSciNet  Google Scholar 

  10. Wang, Y.-G., Liu, H.-W.: Using nonlinear detector to improve detection of multiple signal in generalized Gaussian noise. Journal of Applied Sciences 28(3), 61–66 (2010)

    Google Scholar 

  11. Zhang, S.-J., Zhang, S.-D.: Statistical Signal Processing, pp. 45–50. Mechanical Industry Press, Beijing (2003) (in Chinese)

    Google Scholar 

  12. Chapeau-Blondeau, F.: Nonlinear test statistic to improve signal detection in non-Gaussian noise. IEEE Signal Processing Letters 7(7), 205–207 (2000)

    Article  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, Y., Hu, Q. (2011). Stochastic Resonance in Nonlinear Multiple Signal Detection for Four Representative Noises. In: Wu, Y. (eds) Advances in Computer, Communication, Control and Automation. Lecture Notes in Electrical Engineering, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25541-0_77

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  • DOI: https://doi.org/10.1007/978-3-642-25541-0_77

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25540-3

  • Online ISBN: 978-3-642-25541-0

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