Noise-enhanced nonlinear detector to improve signal detection in non-Gaussian noise

Signal Processing

Volumn 86, Issue 11, 2006, Pages 3456-3465

  Rousseau, David ^a   Anand, G V ^b   Chapeau Blondeau, François ^a  

^a UNIVERSITÉ D'ANGERS   (France)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Detection; Nonlinear arrays; Quantizer; Suprathreshold stochastic resonance

Indexed keywords

CORRELATION METHODS; NONLINEAR SYSTEMS; RESONANCE; SIGNAL DETECTION;

NONLINEAR ARRAYS; QUANTIZER; SUPRATHRESHOLD STOCHASTIC RESONANCE;

GAUSSIAN NOISE (ELECTRONIC);

EID: 33748303074     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2006.03.008     Document Type: Article

References (22)

1. Duttweiler D.L., and Kailath T. RKHS approach to detection and estimation problems-part IV: non-Gaussian detection. IEEE Trans. Inform. Theory 19 (1973) 19-28
2. Kay S. Fundamentals of Statistical Signal Processing: Detection Theory (1998), Prentice-Hall, Englewood Cliffs, NJ
3. Lu N.H., and Einstein B.A. Detection of weak signals in non-Gaussian noise. IEEE Trans. Inform. Theory IT-27 (1981) 755-771
4. Kassam S. Optimum quantization for signal detection. IEEE Trans. Comm. 25 (1977) 479-484
5. Poor H.V., and Thomas J.B. Applications of Ali-Silvey distance measures in the design of generalized quantizers for binary decision systems. IEEE Trans. Comm. 25 (1977) 893-900
6. Aazhang B., and Poor H.V. On optimum and nearly optimum data quantization for signal detection. IEEE Trans. Comm. 32 (1984) 745-751
7. Picinbono B., and Duvaut P. Optimum quantization for detection. IEEE Trans. Comm. 36 (1988) 1254-1258
8. C. Duchene, P.-O. Amblard, S. Zozor, Quantizer-based suboptimal detectors: noise-enhanced performance and robustness, International Symposium on Fluctuations and Noise (FN'05), Proceedings of the SPIE, vol. 5847, Austin, TX, USA, 23-26 May 2005, pp. 100-110.
9. Stocks N.G. Suprathreshold stochastic resonance in multilevel threshold systems. Phys. Rev. Lett. 84 (2000) 2310-2313
10. N.G. Stocks, Information transmission in parallel threshold arrays: suprathreshold stochastic resonance, Phys. Rev. E 63 (2001) 041114,1-9.
11. McDonnell M.D., Abbott D., and Pearce C.E.M. A characterization of suprathreshold stochastic resonance in an array of comparators by correlation coefficient. Fluctuation Noise Lett. 2 (2002) L205-L220
12. D. Rousseau, F. Duan, F. Chapeau-Blondeau, Suprathreshold stochastic resonance and noise-enhanced Fisher information in arrays of threshold devices, Phys. Rev. E 68 (2003) 031107,1-10.
13. Rousseau D., and Chapeau-Blondeau F. Suprathreshold stochastic resonance and signal-to-noise ratio improvement in arrays of comparators. Phys. Lett. A 321 (2004) 280-290
14. Rousseau D., and Chapeau-Blondeau F. Constructive role of noise in signal detection from parallel arrays of quantizers. Signal Processing 85 (2005) 571-580
15. Godivier X., and Chapeau-Blondeau F. Noise-assisted signal transmission in a nonlinear electronic comparator: experiment and theory. Signal Processing 56 (1997) 293-303
16. Gammaitoni L., Hänggi P., Jung P., and Marchesoni F. Stochastic resonance. Rev. Mod. Phys. 70 (1998) 223-287
17. E. Pantazelou, F. Moss, D. Chialvo, Noise sampled signal transmission in an array of Schmitt triggers, in: P.H. Handel, A.L. Chung (Eds.), Noise in Physical Systems and 1 / f Fluctuations, AIP Conference Proceedings, vol. 285, New York, 1993, pp. 549-552.
18. Collins J.J., Chow C.C., and Imhoff T.T. Stochastic resonance without tuning. Nature 376 (1995) 236-238
19. Chapeau-Blondeau F. Nonlinear test statistic to improve signal detection in non-Gaussian noise. IEEE Signal Process. Lett. 7 (2000) 205-207
20. Machell F.W., Penrod C.S., and Ellis G.E. Statistical characteristics of ocean acoustic noise process. In: Wegman E.J., Schwartz S.C., and Thomas J.B. (Eds). Topics in Non-Gaussian Signal Processing (1989), Springer, Berlin 29-57
21. B. Kosko, S. Mitaim, Robust stochastic resonance: signal detection and adaptation in impulsive noise, Phys. Rev. E 64 (2001) 051110,1-11.
22. Gammaitoni L. Stochastic resonance and the dithering effect in threshold physical systems. Phys. Rev. E 52 (1995) 4691-4698