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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benzi, R., Srutera, A., Vulpiani, A.: The Mechanism of Stochastic Resonance. J. Phys. A 4(11), 453–457 (1981)
McNamara, B., Wiesenfeld, K.: Theory of stochastic resonance. Physical Review A 39, 4854–4869 (1989)
Kay, S.: Can detectability be improved by adding noise? IEEE Signal Processing Letters 7(1), 8–10 (2000)
Chapeau-Blondeau, F.: Stochastic resonance for an optimal detector with phase noise. Signal Processing 83, 665–670 (2003)
Chapeau-Blondeau, F., Rousseau, D.: Constructive action of additive noise in optimal detection. International Journal of Bifurcation and Chaos 15(9), 2985–2994 (2005)
Wang, Y.-G., Wu, L.-N.: Stochastic resonance in nonlinear signal detection. International Journal of Signal Processing 2(3), 108–113 (2006)
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)
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)
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)
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)
Zhang, S.-J., Zhang, S.-D.: Statistical Signal Processing, pp. 45–50. Mechanical Industry Press, Beijing (2003) (in Chinese)
Chapeau-Blondeau, F.: Nonlinear test statistic to improve signal detection in non-Gaussian noise. IEEE Signal Processing Letters 7(7), 205–207 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: EngineeringEngineering (R0)