Effects of colored noise on multi-frequency signal processing via stochastic resonance with tuning system parameters

Chaos, Solitons and Fractals

Volumn 16, Issue 1, 2003, Pages 93-106

  Xu, Bohou ^a,b   Li, Jianlong ^a   Duan, Fabing ^a   Zheng, Jinyang ^a  

^a ZHEJIANG UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; FREQUENCIES; GAIN CONTROL; SIGNAL PROCESSING; SPURIOUS SIGNAL NOISE;

COLORED NOISE;

RANDOM PROCESSES;

EID: 0037332787     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00201-1     Document Type: Article

References (33)

1. Benzi R., Sutera A., Vulpiani A. The mechanism of stochastic resonance. J. Phys. A. 14:1981;L453-L457.
2. Benzi R., Parisi G., Sutera A., Vulpiani A. Stochastic resonance in climate change. Tellus. 34:1982;10-16.
3. Nicolis C., Nicolis G. Stochastic aspects of climate transitions - additive fluctuations. Tellus. 33:1981;225-234.
4. Matsumoto K., Tsuda I. Noise-induced order. J. Stat. Phys. 31(1):1983;87-106.
5. Ansishchenko V.S., Neiman A.B., Safonova M.A. Stochastic resonance in chaotic systems. J. Stat. Phys. 70(12):1993;183-196.
6. Riani M., Simonotto E. Stochastic resonance in the perceptual interpretation of ambiguous figures: a neural network model. Phys. Rev. Lett. 72(19):1994;3120-3123.
7. Jung P. Stochastic resonance and optimal design of threshold detectors. Phys. Lett. A. 207:1995;93-104.
8. Wiesenfeld K., Moss F. Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs. Nature. 373:1995;33-36.
9. Schobben D.W.E., Beuker R.A., Oomen W. Dither and data compression. IEEE Trans. Signal Process. 45:1997;2097-2101.
10. El Naschie M.S., Gebeshuber I.C., Holden A.V., Petracchi D. Stochastic resonance in biological systems. Chaos, Solitons & Fractals. 11:2000.
11. Jung P., Hänggi P. Amplification of small signal via stochastic resonance. Phys. Rev. A. 44(12):1991;8032-8042.
12. Ansishchenko V.S., Safonova M.A., Chua L.O. Stochastic resonance in chua's circuit driven by amplitude or frequency modulated signals. Int. J. Bifurc. Chaos. 4(2):1994;441-446.
13. Moss F., Pierson D., O'Gorman D. Stochastic resonance: tutorial and updata. Int. J. Bifurc. Chaos. 4(6):1994;1383-1397.
14. Collins J.J., Chow C.C., Imhoff T.T. Stochastic resonance without tuning. Nature. 376:1995;236-238.
15. Morillo M., Gómez-Ordóñez J. Amplification and distortion of a period rectangular driving signal by a noisy bistable system. Phys. Rev. E. 51(2):1995;999-1003.
16. Bulsara A.R., Gammaitoni L. Turning in to noise. Phys. Today. 49(3):1996;39-45.
17. Heneghan C., Chow C.C., Collins J.J.et al. Information measures quantifying a period stochastic resonance. Phys. Rev. E. 54(3):1996;R2228-R2231.
18. Godivier X., Chapeau-Blondeau F. Noise-assisted signal transmission in a nonlinear electronic comparator: experiment and theory. Signal Process. 56:1997;293-303.
19. Gammaitoni L., Hänggi P., Jung P., Marchesoni F. Stochastic resonance. Rev. Mod. Phys. 70(1):1998;223-246.
20. Chapeau-Blondeau F. Periodic and aperiodic stochastic resonance with output signal-to-noise ratio exceeding that at the input. Int. J. Bifurc. Chaos. 9(1):1999;267-272.
21. Wannamker R.A., Lipshitz S.P., Vanderkooy J., Wright J.N. A theory of nonsubtractive dither. IEEE Trans. Signal Process. 48(2):2000;499-516.
22. Morse R.P., Roper P. Enhanced coding in a cohlear-implant model using additive noise: aperiod stochastic resonance with tuning. Phys. Rev. E. 61(5):2000;5683-5692.
23. Wannamaker R.A., Lipshitz S.P., Vanderkooy J. Stochastic resonance as dithering. Phys. Rev. E. 61(1):2000;233-236.
24. Chapeau-Blondeau F. Stochastic resonance at phase noise in signal transmission. Phys. Rev. E. 61(1):2000;940-943.
25. Gingl Z., Vajtai R., Kiss L.B. Signal-to-noise ratio gain by stochastic resonance in a bistable system. Chaos, Solitons & Fractals. 11:2000;1929-1932.
26. Hänggi P., Mroczkowski T.J., Moss F. Bistability driven by colored noise: theory and experiment. Phys. Rev. A. 32(1):1985;695-698.
27. Jung P., Hänggi P. Dynamical systems: a unified colored-noise approximation. Phys. Rev. A. 35(10):1987;4464-4466.
28. Hänggi P., Jung P., Zerbe C., Moss F. Can colored noise improve stochastic resonance. J. Stat. Phys. 70(1-2):1993;25-47.
29. Nozaki D., Mar D.J., Grigg P., Collins J.J. Effects of colored noise on stochastic resonance in sensory neurons. Phys. Rev. Lett. 82(11):1999;2402-2405.
30. Jia Y., Zheng X., Hu X., Li J. Effects of noise on stochastic resonance in a bistable system subject to multiplicative and additive noise. Phys. Rev. E. 63(3):2001;031107.
31. Sancho J.M., San Miguel M., Katz S.L., Gunton J.D. Analytical and numerical studies of multiplicative noise. Phys. Rev. E. 1982;1589-1609.
32. Xu B., Duan F., Bao R., Li J. Stochastic resonance with tuning system parameters: the application of bistable systems in signal processing. Chaos, Solitons & Fractals. 13:2002;633-644.
33. Li H, Xu B. A formula to recover the signals modulated by stochastic resonance systems, submitted to IEEE Trans Signal Processing.