Evaluation of bistable systems versus matched filters in detecting bipolar pulse signals

Fluctuation and Noise Letters

Volumn 5, Issue 2, 2005, Pages

  Duan, Fabing ^a   Abbott, Derek ^b   Gao, Qisheng ^a  

^a QINGDAO UNIVERSITY   (China)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Bistable system; Computational efficiency; Matched filter; Robust; Signal detection statistics

Indexed keywords

EID: 23744501783     PISSN: 02194775     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219477505002483     Document Type: Article

References (70)

1. R. Benzi, A. Sutera and A. Vulpiani, The mechanism of stochastic resonance, J. Phys. A: Math. Gen. 14 (1981) L453-L457.
2. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Stochastic resonance in climatic change, Tellus 34 (1982) 10-16.
3. A. Ganopolski and S. Rahmstorf, Abrupt glacial climate changes due to stochastic resonance, Phys. Rev. Lett. 88 (2002) 038501.
4. B. McNamara and K. Wiesenfeld, Theory of stochastic resonance, Phys. Rev. A 39 (1989) 4854-4869.
5. L. Gammaitoni, P. Hänggi, P. Jung and F. Marchesoni, Stochastic resonance, Rev. Mod. Phys. 70 (1998) 233-287.
6. K. Wiesenfeld and F. Moss, Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs, Nature 373 (1995) 33-36.
7. F. Moss, D. Pierson and D. O'Gorman, Stochastic resonance: Tutorial and update, Int. J. Bifurcation and Chaos 4 (1994) 1383-1397.
8. A. R. Bulsara and L. Gammaitoni, Tuning in to noise, Phys. Today 49 (1996) 39-45.
9. R. P. Morse and E. F. Evans, Additive noise can enhance temporal coding in a computational model of analogue cochlear implant stimulation, Hearing Research 133 (1999) 107-119.
10. D. F. Russell, L. A. Wilkens and F. Moss, Use of behavioral stochastic resonance, by paddle fish for feeding, Nature 402 (1999) 291-293.
11. L. Glass, Synchronization and rhythmic processes in physiology, Nature 410 (2001) 277-284.
12. V. S. Anishchenko, A. B. Neiman, F. Moss and L. Schimansky-Geier, Stochastic resonance: noise enhanced order, Physics- Uspekhi 42 (1999) 7-36.
13. P. Hänggi, Stochastic resonance in biology: how noise enhance detection of weak signals and help improve biological information processing, Chemphyschem. 3 (2002) 285-290.
14. A. Allison and D. Abbott, Stochastic resonance on a Brownian ratchet, Fluctuation and Noise Lett. 1 (2002) L239-L244.
15. S. Fauve and F. Heslot, Stochastic resonance in a bistable system, Phys. Lett. A 97 (1983) 5-8.
16. B. McNamara, K. Wiesenfeld and R. Roy, Observation of stochastic resonance in a ring laser, Phys. Rev. Lett. 60 (1988) 2626-2629.
17. M. L. Spano, M. Wun-Fogle and W. L. Ditto, Experimental observation of stochastic resonance, in a magnetoelastic ribbon, Phys. Rev. A 46 (1992) 5253-5256.
18. L. Gammaitoni, M. Martinelli, L. Pardi and S. Santucci, Phase shift in bistable EPR systems at stochastic resonance, Phys. Lett. A 158 (1991) 449-452.
19. A. Hibbs, E. Jacobs, J. Bekkedahl, A. Bulsara and F. Moss, Stochastic resonance in a bistable SQUID loop, Noise in Physical Systems and 1/f Fluctuations, ed. P. Handel and A. L. Chung (AIP Press, 1993) 720-723.
20. S. Barbay, G. Giacomelli and F. Marin, Experimental evidence of binary aperiodic stochastic resonance, Phys. Rev. Lett. 85 (2000) 4652-4655.
21. F. Apostolico, L. Gammaitoni, F. Marcheson and S. Santucci, Resonant trapping: A failure mechanism in switch transitions, Phys. Rev. E 55 (1997) 36-39.
22. F. Duan, D. Rousseau and F. Chapeau-Blondeau, Residual aperiodic stochastic resonance in a bistable dynamics system transmitting a suprathreshold binary signal, Phys. Rev. E 69 (2004) 011109.
23. J. J. Collins, C. C. Chow and T. T. Imhoff, Aperiodic stochastic resonance in excitable systems, Phys. Rev. E 52 (1995) R3321-R3324;
24. J. J. Collins, C. C. Chow and P. Grigg, Noise-enhanced tactile sensation, Nature 383 (1996) 770.
25. F. Chapeau-Blondeau, Noise-enhanced capacity via stochastic resonance in an asymmetric binary channel, Phys. Rev. E 55 (1997) 2016-2019.
26. X. Godivier and F. Chapeau-Blondeau, Stochastic resonance in the information capacity of a nonlinear dynamic systems, Int. J. Bifurcation and Chaos 8 (1998) 581-589.
27. L. B. Kish, G. P. Harmer and D. Abbott, Information transfer rate of neurons: stochastic resonance of Shannon's information channel capacity, Fluctuation and Noise Lett. 1 (2001) L13-L19.
28. F. Duan and B. Xu, Parameter-induced stochastic resonance and baseband binary signal transmission over an AWGN channel, Int. J. Bifurcation and Chaos 13 (2003) 411-425.
29. H. C. Papadopoulos, G. W. Wornell and A. V. Oppenheim, Sequential signal encoding from noisy measurement using quantizers with dynamic bias control, IEEE Trans. Information Theory 47 (2001) 978-1002.
30. F. Chapeau-Blondeau, Noise-aided nonlinear Bayesian estimation, Phys. Rev. E 66 (2002) 032101.
31. M. E. Inchiosa and A. R. Bulsara, Signal detection statistics of stochastic resonance, Phys. Rev. E 54 (1996) R2021-R2024.
32. A. R. Bulsara and A. Zador, Threshold detection of wideband signals: A noise-induced maximum in the mutual information, Phys. Rev. E 54 (1996) R2185-R2188.
33. V. Galdi, V. Pierro and I. M. Pinto, Evaluation of stochastic-resonance- based detectors of weak harmonic signals, Phys. Rev. E 57 (1998) 6470-6479.
34. M. E. Inchiosa and A. R. Bulsara, DC signal detection via dynamical asymmetry in a nonlinear device, Phys. Rev. E 58 (1998) 115-127.
35. S. Kay, Can detectablity be improved by adding noise, IEEE Sig. Process. Lett. 7 (2000) 8-10.
36. F. Chapeau-Blondeau, Nonlinear test statistic to improve signal detection in non-Gaussian noise, IEEE Sig. Process. Lett. 7 (2000) 205-207.
37. B. Kosko and S. Mitaim, Robust stochastic resonance: signal detection and adaptation in impulse noise, Phys. Rev. E 64 (2001) 051110.
38. P. Jung, Stochastic resonance and optimal design of threshold detectors, Phys. Lett. A 207 (1995) 93-104.
39. B. Andò, S. Graziani and N. Pitrone, Shaping in stochastic driven systems, IEEE Trans. Instruments and Measurement 50 (2001) 1264-1269.
40. A. S. Asdi and A. H. Tewfik, Detection of weak signals using adaptive stochastic resonance, Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing, Detroit, MI 2 (1995) 1332-1335.
41. D. G. Luchinsky, R. Mannella, P. V. E. McClintock and N. G. Stocks, Stochastic resonance in electrical circuits-I: Conventional stochastic resonance, IEEE Trans. Cir. and Sys.- Analog and Digital Signal Processing 40 (1999) 1205-1214;
42. Stochastic resonance in electrical circuits-II: Nonconventional stochastic resonance, IEEE Trans. Cir. and Sys.- Analog and Digital Signal Processing 40 (1999) 1215-1224.
43. G. P. Harmer and D. Abbott, Simulation of circuits demonstrating stochastic resonance, Microelectronics Journal 31 (2000) 553-560.
44. G. P. Harmer, B. R. Davis and D. Abbott, A review of stochastic resonance: circuits and measurement, IEEE Trans. Instrumentation and Measurement 51 (2002) 299-309.
45. S. Zozor and P. O. Amblard, On the use of stochastic resonance in sine detection, Sig. Process. 82 (2002) 353-367.
46. S. Zozor and P. O. Amblard, Stochastic resonance in locally optimal detector, IEEE Trans. Sig. Process. 51 (2002) 3177-3181.
47. J. Tougaard, Stochastic resonance and signal detection in an energy detector-implication for biological receptor systems, Biol. Cybern. 83 (2000) 471-480.
48. J. Tougaard, Signal detection theory, detectability and stochastic resonance effects, Biol Cybern. 87 (2002) 79-90.
49. A. R. Bulsara, C. Seberino, L. Gammaitoni, M. F. Karlsson, B. Lundqvist and J. W. C. Robinson, Signal detection via residence-time asymmetry in noisy bistable devices, Phys. Rev. E 67 (2003) 016120.
50. G. P. Harmer and D. Abbott, Motion detection and stochastic resonance in noisy enviroments, Microelectronics Journal 32 (2001) 959-967.
51. S. Kay, Fundamentals of Statistical Signal Processing: Detection Theory, Englewood Cliffs, Prentice-Hall, New Jersey (1998).
52. M. I. Dykman and P. V. E. McClintock, What can stochastic resonance do? Nature 391 (1998) 344.
53. D. Peterson, What is the role of stochastic resonance? Chaos Solitons and Fractals 11 (2000) 1827-1834.
54. D. Peterson, I. C. Gebeshuber, L. J. DeFelice and A. V. Holden, Stochastic resonance in biological systems, Chaos Solitons and Fractals 11 (2000) 1819-1822.
55. H. C. Papadopoulos, G. W. Wornell and A. V. Oppenheim, Low-complexity digital encoding strategies for wireless sensor networks, in Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing (1998) 3273-3276.
56. M. E. Inchiosa, J. W. C. Robinson and A. R. Bulsara, Information- theoretic stochastic resonance in noise-floor limited systems: The case for adding noise, Phys. Rev. Lett. 85 (2000) 3369-3372.
57. A. Nikitin, N. G. Stocks and A. R. Bulsara, Signal detection via residence times statistics: Noise-mediated minimization of the measurement error, Phys. Rev. E 68 (2003) 036133.
58. Y. Gong, N. Matthews and N. Qian, Model for stochastic resonance type behavior in sensory perception, Phys. Rev. E 65 (2002) 031904.
59. N. G. Stocks and R. Mannella, Generic noise-enhanced coding in neuronal arrays, Phys. Rev. E 64 (2001) 030902.
60. N. G. Stocks, Suprathreshold stochastic resonance in multilevel threshold systems, Phys. Rev. Lett. 84 (2000) 2310-2313.
61. L. Gammaitioni, M. Locher, A. Bulsara, P. Hänggi, J. Neff, K. Wiesenfeld, W. Ditto and M. E. Inchiosa, Controlling stochastic resonance, Phys. Rev. Lett. 82 (1999) 4574-4577.
62. B. Xu, F. Duan, R. Bao and J. Li, Stochastic resonance, with tuning system parameters: The application of bistable systems in signal processing, Chaos, Solitons and Fractals 13 (2002) 633-644.
63. M. D. McDonnell, N. G. Stocks, C. E. M. Pearce and D. Abbott, Stochastic resonance and data processing inequality, Electronics Lett. 39 (2003) 1287-1288.
64. M. D. McDonnell, D. Abbott and C. E. M. Pearce, Characterization of suprathreshold stochastic resonance in an array of comparitors by correlation coefficient, Fluctuation and Noise Lett. 2 (2002) L205-L220.
65. M. D. McDonnell, D. Abbott and C. E. M. Pearce, An analysis of noise enhanced information transmission in an array of comparators, Microelectronics Journal 33 (2002) 1079-1089.
66. D. Rousseau and F. Chapeau-Blondeau, Suprathreshold stochastic resonance, and signal-to-noise ratio improvement in arrays of comparators, Phys. Lett. A 321 (2004) 280-290.
67. D. Rousseau, J. Rojas Varela, F. Duan and F. Chapeau-Blondeau, Evaluation of a nonlinear bistable filter for binary signal detection, Int. J. Bifurcation and Chaos (to be published).
68. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications, Springer Series in Synergetics, Springer-Verlag, Berlin, Vol. 18, 2nd edn. (1989).
69. T. C. Gard, Introduction to Stochastic Differential Equations, Marcel Dekker Inc., New York (1998).
70. B. Xu, F. Duan and F. Chapeau-Blondeau, Comparison of aperiodic stochastic resonance in a bistable system by adding noise and tuning system parameters, Phys. Rev. E 69 (2004) 061110.