Noise-improved Bayesian estimation with arrays of one-bit quantizers

IEEE Transactions on Instrumentation and Measurement

Volumn 56, Issue 6, 2007, Pages 2658-2662

  Rousseau, David ^a   Chapeau Blondeau, François ^a  

^a UNIVERSITÉ D'ANGERS   (France)

Author keywords

Estimation; Noise; Nonlinear arrays; Resonance; Sensor arrays; Stochastic processes; stochastic resonance (SR)

Indexed keywords

ACOUSTIC NOISE; BAYESIAN NETWORKS; RANDOM PROCESSES; RESONANCE; SENSOR NETWORKS;

NONLINEAR ARRAYS; ONE-BIT QUANTIZERS; STOCHASTIC RESONANCE;

SENSOR ARRAYS;

EID: 37249037059     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2007.908125     Document Type: Article

References (38)

1. O. Kanoun and H. R. Tränkler, "Sensor technology advances and future trends," IEEE Trans. Instrum. Meas., vol. 53, no. 6, pp. 1497-1501, Dec. 2004.
2. J. S. Wilson, Sensor Technology Handbook. Boston, MA: Newnes, 2004.
3. M. D. McDonnell, D. Abbott, and C. E. M. Pearce, "An analysis of noise enhanced information transmission in an array of comparators," Microelectron. J., vol. 33, no. 12, pp. 1079-1089, Dec. 2002.
4. M. A. Arbib, The Handbook of Brain Theory and Neural Networks. Cambridge, MA: MIT Press, 2002.
5. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, "Stochastic resonance," Rev. Modern Phys., vol. 70, no. 1, pp. 223-287, Jan. 1998.
6. B. Andó, S. Baglio, S. Graziani, and N. Pitrone, "Optimal improvement in bistable measurement device performance via stochastic resonance," Int. J. Electron., vol. 86, no. 7, pp. 791-806, Jul. 1999.
7. B. Andò and S. Graziani, Stochastic Resonance: Theory and Applications. Boston, MA: Kluwer, 2000.
8. B. Andò, S. Baglio, S. Graziani, and N. Pitrone, "Measurements of parameters influencing the optimal noise level in stochastic systems," IEEE Trans. Instrum. Meas., vol. 49, no. 5, pp. 1137-1143, Oct. 2000.
9. B. Andò and S. Graziani, "Adding noise to improve measurement," IEEE Instrum. Meas. Mag., vol. 4, no. 1, pp. 24-30, Mar. 2001.
10. G. P. Harmer, B. R. Davis, and D. Abbott, "A review of stochastic resonance: Circuits and measurement," IEEE Trans. Instrum. Meas., vol. 51, no. 2, pp. 299-309, Apr. 2002.
11. 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, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 68, no. 3, pp. 036 133-1-036 133-4, Sep. 2003.
12. F. Chapeau-Blondeau and D. Rousseau, "Noise-enhanced performance for an optimal Bayesian estimator," IEEE Trans. Signal Process., vol. 52, no. 5, pp. 1327-1334, May 2004.
13. S. Mitaim and B. Kosko, "Adaptive stochastic resonance," Proc. IEEE vol. 86, no. 11, pp. 2152-2183, Nov. 1998.
14. G. P. Harmer and D. Abbott, "Simulation of circuits demonstrating stochastic resonance," Microelectron. J., vol. 31, no. 7, pp. 553-559, Jul. 2000.
15. J. J. Collins, C. C. Chow, and T. T. Imhoff, "Stochastic resonance without tuning," Nature, vol. 376, no. 6537, pp. 236-238, Jul. 1995.
16. Z. Gingl, L. B. Kiss, and F. Moss, "Non-dynamical stochastic resonance: Theory and experiments with white and arbitrarily coloured noise," Europhys. Lett., vol. 29, no. 3, pp. 191-196, Jan. 1995.
17. M. E. Inchiosa and A. R. Bulsara, "Signal detection statistics of stochastic resonators," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 53, no. 3, pp. R2 021 -R2 024, Mar. 1996.
18. X. Godivier, J. Rojas-Varela, and F. Chapeau-Blondeau, "Noise-assisted signal transmission via stochastic resonance in a diode nonlinearity," Electron. Lett., vol. 33, no. 20, pp. 1666-1668, Sep. 1997.
19. D. G. Luchinsky, R. Mannella, P. V. E. McClintock, and N. G. Stocks, "Stochastic resonance in electrical circuits - I: Conventional stochastic resonance," IEEE Trans. Circuits Syst. II, vol. 46, no. 9, pp. 1205-1214, Sep. 1999.
20. F. Chapeau-Blondeau, "Noise-assisted propagation over a nonlinear line of threshold elements," Electron. Lett., vol. 35, no. 13, pp. 1055-1056, Jun. 1999.
21. S. Zozor and P. O. Amblard, "On the use of stochastic resonance in sine detection," Signal Process., vol. 82, no. 3, pp. 353-367, Mar. 2002.
22. N. G. Stocks, "Suprathreshold stochastic resonance in multilevel threshold systems," Phys. Rev. Lett., vol. 84, no. 11, pp. 2310-2313, Mar. 2000.
23. N. G. Stocks, "Information transmission in parallel threshold arrays: Suprathreshold stochastic resonance," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 63, no. 4, pp. 041114-1-041114-9, Apr. 2001.
24. M. D. McDonnell, D. Abbott, and C. E. M. Pearce, "A characterization of suprathreshold stochastic resonance in an array of comparators by correlation coefficient," Fluctuation Noise Lett., vol. 2, no. 3, pp. L205-L220, 2002.
25. D. Rousseau, F. Duan, and F. Chapeau-Blondeau, "Suprathreshold stochastic resonance and noise-enhanced Fisher information in arrays of threshold devices," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 68, no. 3, pp. 031107-1-031107-10, Sep. 2003.
26. D. Rousseau and F. Chapeau-Blondeau, "Suprathreshold stochastic resonance and signal-to-noise ratio improvement in arrays of comparators," Phys. Lett. A, vol. 321, no. 5/6, pp. 280-290, Feb. 2004.
27. N. G. Stocks and R. Mannella, "Generic noise-enhanced coding in neuronal arrays," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 64, no. 3, pp. 030902-1-030902-4, Sep. 2001.
28. G. P. Harmer and D. Abbott, "Motion detection and stochastic resonance in noisy environments," Microelectron. J., vol. 32, no. 12, pp. 959-967, Dec. 2001.
29. N. G. Stocks, D. Allingham, and R. P. Morse, "The application of suprathreshold stochastic resonance to cochlear implant coding," Fluctuation Noise Lett., vol. 2, no. 3, pp. L169-L181, 2002.
30. D. Rousseau and F. Chapeau-Blondeau, "Constructive role of noise in signal detection from parallel arrays of quantizers," Signal Process., vol. 85, no. 3, pp. 571-580, Mar. 2005.
31. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993.
32. S. Kay, "Can detectability be improved by adding noise?" IEEE Signal Process. Lett., vol. 7, no. 1, pp. 8-10, Jan. 2000.
33. F. Chapeau-Blondeau, "Stochastic resonance for an optimal detector with phase noise," Signal Process., vol. 83, no. 3, pp. 665-670, Mar. 2003.
34. D. Rousseau and F. Chapeau-Blondeau, "Stochastic resonance and improvement by noise in optimal detection strategies," Digit. Signal Process., vol. 15, no. 1, pp. 19-32, Jan. 2005.
35. F. Chapeau-Blondeau and D. Rousseau, "Constructive action of additive noise in optimal detection," Int. J. Bifurc. Chaos, vol. 15, no. 9, pp. 2985-2994, 2005.
36. R. M. Gray and D. L. Neuhoff, "Quantization," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2325-2383, 1998.
37. M. D. McDonnell and D. Abbott, "Open questions for suprathreshold stochastic resonance in sensory neural models for motion detection using artificial insect vision," in Proc. AIP Conf., 2003, vol. 665, pp. L51-L58.
38. I. Y. Lee, X. Liu, B. Kosko, and C. Zhou, "Nanosignal processing: Stochastic resonance in carbon nanotubes that detect subthreshold signals," Nano Lett., vol. 3, no. 12, pp. 1683-1686, 2003.