Theory of the stochastic resonance effect in signal detection - Part II: Variable detectors

IEEE Transactions on Signal Processing

Volumn 56, Issue 10 II, 2008, Pages 5031-5041

  Chen, Hao ^a   Varshney, Pramod K ^a  

^a Syracuse University   (United States)

Author keywords

Hypothesis testing; Minimax rule; Non Gaussian noise; Nonlinear systems; Signal detection; Stochastic resonance

Indexed keywords

EID: 54649084659     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2008.928509     Document Type: Article

References (22)

1. H. Chen, P. K. Varshney, J. H. Michels, and S. M. Kay, "Theory of the stochastic resonance effect in signal detection: Part 1 - Fixed detectors," IEEE Trans. Signal Process., vol. 55, no. 7, pt. 1, pp. 3172-3184, Jul. 2007.
2. R. Benzi, A. Sutera, and A. Vulpiani, "The mechanism of stochastic resonance," J. Phys. A: Math. Gen., vol. 14, pp. L453-L457, 1981.
3. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, "Stochastic resonance," Rev. Mod. Phys., vol. 70, no. 1, pp. 223-287, Jan. 1998.
4. A. S. Asdi and A. Tewfik, "Detection of weak signals using adaptive stochastic resonance," in Proc. Int. Conf. Acoustics, Speech, Signal Processing, (ICASSP), May 1995, vol. 2, pp. 1332-1335.
5. S. Zozor and P.-O. Amblard, "On the use of stochastic resonance in sine detection," Signal Process., vol. 7, pp. 353-367, Mar. 2002.
6. S. Kay, "Can detectability be improved by adding noise?," IEEE Signal Process. Lett., vol. 7, pp. 8-10, Jan. 2000.
7. S. Zozor and P.-O. Amblard, "Stochastic resonance in locally optimal detectors," IEEE Trans. Signal Process., vol. 51, no. 12, pp. 3177-3181, Dec. 2003.
8. A. A. Saha and G. Anand, "Design of detectors based on stochastic resonance," Signal Process., vol. 83, pp. 1193-1212, 2003.
9. S. M. Kay, J. H. Michels, H. Chen, and P. K. Varshney, "Reducing probability of error using stochastic resonance," IEEE Signal Process. Lett., vol. 13, pp. 695-698, Nov. 2006.
10. H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer, 1994.
11. H. Chen, "Noise enhanced signal detection and estimation," Ph.D. dissertation, Syracuse Univ., Syracuse, NY, 2007.
12. A. W. Roberts and D. E. Varberg, Convex Functions. London, New York: Academic, 1973.
13. H. L. V. Trees, Detection, Estimation, and Modulation Theory. New York: Wiley-Interscience, 2007, pt. I.
14. K. Loerincz, Z. Gingl, and L. Kiss, "A stochastic resonator is able to greatly improve signal-to-noise ratio," Phys. Lett. A, vol. 224, pp. 63-67, 1996.
15. P. Makra and Z. Gingl, "Signal-to-noise ratio gain in non-dynamical and dynamical bistable stochastic resonators," Fluctuation Noise Lett. vol. 2, no. 3, pp. L145-L153, 2002.
16. P. Makra, Z. Gingl, and T. Fulei, "Signal-to-noise ratio gain in stochastic resonators driven by coloured noises," Phys. Lett. A, vol. 317, pp. 228-232, 2003.
17. M. E. Inchiosa and A. R. Bulsara, "Signal detection statistics of stochastic resonators," Phys. Rev. E, vol. 53, no. 3, pp. R2021-R2024, Mar. 1996.
18. P. K. Varshney, Distributed Detection and Data Fusion. New York: Springer, 1997.
19. P. Willett and D. Warren, "The suboptimality of randomized tests in distributed and quantized detection systems," IEEE Trans. Inf. Theory, vol. 38, pp. 355-361, 1992.
20. F. Gini, F. Lombardini, and L. Verrazzani, "Decentralised detection strategies under communication constraints," Proc. Inst. Electr. Eng. - Radar, Sonar, Navigat., vol. 145, no. 4, pp. 199-208, Aug. 1998.
21. F. Chapeau-Blondeau, "Stochastic resonance for an optimal detector with phase noise," Signal Process., vol. 83, pp. 665-670.
22. F. Chapeau-Blondeau and D. Rousseau, "Constructive action of additive noise in optimal detection," Int. J. Bifurcation Chaos, vol. 15, no. 9, pp. 2985-2994, 2005.