Fisher information as a metric of locally optimal processing and stochastic resonance

PLoS ONE

Volumn 7, Issue 4, 2012, Pages

  Duan, Fabing ^a   Chapeau Blondeau, François ^b   Abbott, Derek ^c  

^a QINGDAO UNIVERSITY   (China)

^b UNIVERSITÉ D'ANGERS   (France)

^c UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL ERROR; ARTICLE; CORRELATION COEFFICIENT; FISHER INFORMATION; MATHEMATICAL ANALYSIS; SIGNAL DETECTION; SIGNAL NOISE RATIO; SIGNAL PROCESSING; SIGNAL TRANSDUCTION; STATISTICAL CONCEPTS; COMPUTER SIMULATION; STATISTICAL MODEL; STATISTICS; VIBRATION;

COMPUTER SIMULATION; MODELS, STATISTICAL; SIGNAL-TO-NOISE RATIO; STOCHASTIC PROCESSES; VIBRATION;

EID: 84859501375     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0034282     Document Type: Article

References (34)

1. Cover TM, Thomas JA, (1991) Elements of Information Theory New York Wiley.
2. Kay S, (1998) Fundamentals of Statistical Signal Processing N.J. Prentice-Hall, Englewood Cliffs.
3. Capon J, (1961) On the asymptotic efficiency of locally optimum detectors. IRE Transactions on Information Theory IT-7: 67-71.
4. Poor HV, Thomas JB, (1978) Locally optimum detection of discrete-time stochastic signals in nongaussian noise. Journal of the Acoustical Society of America 63: 75-80.
5. Lu NH, Eisenstein B, (1981) Detection of weak signals in non-gaussian noise. IEEE Transactions on Information Theory IT-27: 755-771.
6. Kassam SA, (1988) Signal Detection in Non-Gaussian Noise New York Springer-Verlag.
7. Song I, Kassam SA, (1990) Locally optimum detection of signals in a generalized observation model: The random signal case. IEEE Transactions on Information Theory 36: 516-530.
8. Benzi R, Sutera A, Vulpiani A, (1981) The mechanism of stochastic resonance. Journal of Physics A: Mathematical and General 14: L453-L457.
9. Zozor S, Amblard PO, (2003) Stochastic resonance in locally optimal detectors. IEEE Transactions on Signal Processing 51: 3177-3181.
10. Chapeau-Blondeau F, Godivier X, (1997) Theory of stochastic resonance in signal transimission by static nonlinear systems. Physical Review E 55: 1478-1495.
11. Chapeau-Blondeau F, Rousseau D, (2009) Raising the noise to improve performance in optimal processing. Journal of Statistical Mechanics: Theory and Experiment 1 no. P01003.
12. Dykman MI, McClintock PVE, (1998) What can stochastic resonance do? Nature 391: 344.
13. Collins JJ, Chow CC, Imhoff TT, (1995) Stochastic resonance without tuning. Nature 376: 236-238.
14. Bezrukov SM, Vodyanoy I, (1997) Stochastic resonance in non-dynamical systems without response thresholds. Nature 385: 319-321.
15. Gammaitoni L, Hänggi P, Jung P, Marchesoni F, (1998) Stochastic resonance. Reviews of Modern Physics 70: 233-287.
16. Wiesenfeld K, Moss F, (1995) Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs. Nature 373: 33-36.
17. Zaikin AA, Kürths J, Schimansky-Geier L, (2000) Doubly stochastic resonance. Physical Review E 85: 227-231.
18. Perc M, Gosaka M, Kralj S, (2008) Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder. Soft Matter 4: 1861-1870.
19. Gosaka M, Perc M, Kralj S, (2012) The impact of static disorder on vibrational resonance in a ferroelectric liquid crystal. Molecular Crystals & Liquid Crystals 553: 13-20.
20. McDonnell MD, Abbott D, (2009) What is stochastic resonance? definitions, misconceptions, debates, and its relevance to biology. PLoS Computational Biology 5 no. e1000348.
21. Perc M, (2007) Stochastic resonance on excitable small-world networks via a pacemaker. Physical Review E 76 no. 066203.
22. Perc M, (2008) Stochastic resonance on weakly paced scale-free networks. Physical Review E 78 no. 036105.
23. Wang Q, Perc M, Duan Z, Chen G, (2009) Delay-induced multiple stochastic resonances on scalefree neuronal networks. Chaos 19 no. 023112.
24. Gan C, Perc M, Wang Q, (2010) Delay-aided stochastic multiresonances on scale-free fitzhughnagumo neuronal networks. Chinese Physical B 19 no. 040508.
25. Stocks NG, (2000) Suprathreshold stochastic resonance in multilevel threshold systems. Physical Review Letters 84: 2310-2313.
26. Kay S, (2000) Can detectabilty be improved by adding noise? IEEE Signal Processing Letters 7: 8-10.
27. Ward LM, MacLean SE, Kirschner A, (2010) Stochastic resonance modulates neural synchronization within and between cortical sources. PLoS ONE 5 no. e14371.
28. Duan F, Chapeau-Blondeau F, Abbott D, (2011) Fisher-information condition for enhanced signal detection via stochastic resonance. Physical Review E 84 no. 051107.
29. Chen H, Varshney PK, Michels JH, Kay SM, (2007) Theory of the stochastic resonance effect in signal detection: Part I-fixed detectors. IEEE Transactions on Signal Processing 55: 3172-3184.
30. Greenwood PE, Müller UU, Ward LM, (2004) Soft threshold stochastic resonance. Physical Review E 70 no. 051110.
31. Zeng L, Li J, (2011) Residual aperiodic stochastic resonance in Lévy noise. Fluctuation and Noise Letters 10: 223-229.
32. Hänggi P, Jung P, Zerbe C, Moss F, (1993) Can colored noise improve stochastic resonance? Journal of Statistical Physics 70: 25-47.
33. DeWeese M, Bialek W, (1995) Information flow in sensory neurons. Nuovo Cimento 17D: 733-741.
34. Brown LD, (1982) A proof of the central limit theorem motivated by the cramér-rao inequality. In: Kallianpur G, Krishnaiah PR, Ghosh JK, editors. Statistics and Probability: Essays in Honor of C R Rao North-Holland Publishing Company pp. 141-148.