Noise-enhanced M-ary hypothesis-testing in the minimax framework

3rd International Conference on Signal Processing and Communication Systems, ICSPCS'2009 - Proceedings

Volumn , Issue , 2009, Pages

  Bayram, Suat ^a   Gezici, Sinan ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

Detection; Hypothesis testing; Minimax; Noise enhanced detection; Stochastic resonance

Indexed keywords

CONVEX RELAXATION; INDEPENDENT NOISE; MINIMAX; MINIMAX CRITERION; NOISE-ENHANCED DETECTION; NUMERICAL EXAMPLE; POLYNOMIAL-TIME; SIGNAL VALUE; STOCHASTIC RESONANCES; SUFFICIENT CONDITIONS;

CIRCUIT RESONANCE; COMMUNICATION SYSTEMS; DETECTORS; MAGNETIC RESONANCE; POLYNOMIAL APPROXIMATION; PROBABILITY DISTRIBUTIONS; RELAXATION PROCESSES; SIGNAL PROCESSING; STOCHASTIC SYSTEMS;

SIGNAL DETECTION;

EID: 70649096320     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSPCS.2009.5306400     Document Type: Conference Paper

References (36)

1. R. Benzi, A. Sutera, and A. Vulpiani, "The mechanism of stochastic resonance, " J. Phys. A: Math. General, vol. 14, pp. 453-457, 1981.
2. P. Makra and Z. Gingl, "Signal-to-noise ratio gain in non-dynamical and dynamical bistable stochastic resonators, " Fluctuat. Noise Lett., vol. 2, no. 3, pp. L145-L153, 2002.
3. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, "Stochastic resonance, " Rev. Mod. Phys., vol. 70, no. 1, pp. 223-287, Jan. 1998. (Pubitemid 128367336)
4. 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.
5. K. Loerincz, Z. Gingl, and L. Kiss, "A stochastic resonator is able to greatly improve signal-to-noise ratio, " Phys. Lett. A, vol. 224, pp. 63-67, 1996.
6. I. Goychuk and P. Hanggi, "Stochastic resonance in ion channels characterized by information theory, " Phys. Rev. E, vol. 61, no. 4, pp. 4272-4280, 2000.
7. S. Mitaim and B. Kosko, "Adaptive stochastic resonance in noisy neurons based on mutual information, " IEEE Trans. Neural Netw., vol. 15, no. 6, pp. 1526-1540, Nov. 2004.
8. N. G. Stocks, "Suprathreshold stochastic resonance in multilevel threshold systems, " Phys. Rev. Lett., vol. 84, no. 11, pp. 2310-2313, Mar. 2000.
9. X. Godivier and F. Chapeau-Blondeau, "Stochastic resonance in the information capacity of a nonlinear dynamic system, " Int. J. Bifurc. Chaos, vol. 8, no. 3, pp. 581-589, 1998. (Pubitemid 128187303)
10. B. Kosko and S. Mitaim, "Stochastic resonance in noisy threshold neurons, " Neural Netw., vol. 16, pp. 755-761, 2003.
11. -, "Robust stochastic resonance for simple threshold neurons, " Phys. Rev. E, vol. 70, no. 031911, 2004.
12. H. Chen, P. K. Varshney, S. M. Kay, and J. H. Michels, "Theory of the stochastic resonance effect in signal detection: Part I-Fixed detectors, " IEEE Trans. Sig. Processing, vol. 55, no. 7, pp. 3172-3184, July 2007.
13. A. Patel and B. Kosko, "Optimal noise benefits in Neyman-Pearson and inequality-constrained signal detection, " IEEE Trans. Sig. Processing, vol. 57, no. 5, pp. 1655-1669, May 2009.
14. F. Chapeau-Blondeau and D. Rousseau, "Raising the noise to improve performance in optimal processing, " Journal of Statistical Mechanics: Theory and Experiment, no. P01003, pp. 1-15, Jan. 2009.
15. S. Bayram and S. Gezici, "On the improvability and non-improvability of detection via additional independent noise, " IEEE Sig. Processing Lett., 2009.
16. P. Hanggi, M. E. Inchiosa, D. Fogliatti, and A. R. Bulsara, "Nonlinear stochastic resonance: The saga of anomalous output-input gain, " Physical Review E, vol. 62, no. 5, pp. 6155-6163, Nov. 2000.
17. V. Galdi, V. Pierro, and I. M. Pinto, "Evaluation of stochastic-resonancebased detectors of weak harmonic signals in additive white gaussian noise, " Physical Review E, vol. 57, no. 6, pp. 6470-6479, June 1998.
18. S. M. Kay, J. H. Michels, H. Chen, and P. K. Varshney, "Reducing probability of decision error using stochastic resonance, " IEEE Sig. Processing Lett., vol. 13, no. 11, pp. 695-698, Nov. 2006.
19. S. M. Kay, "Can detectability be improved by adding noise?" IEEE Sig. Processing Lett., vol. 7, no. 1, pp. 8-10, Jan. 2000.
20. H. Chen and P. K. Varshney, "Theory of the stochastic resonance effect in signal detection: Part II-Variable detectors, " IEEE Trans. Sig. Processing, vol. 56, no. 10, pp. 5031-5041, Oct. 2007.
21. H. Chen, P. K. Varshney, and J. H. Michels, "Improving sequential detection performance via stochastic resonance, " IEEE Sig. Processing Lett., vol. 15, pp. 685-688, Dec. 2008.
22. -, "Noise enhanced parameter estimation, " IEEE Trans. Sig. Processing, vol. 56, no. 10, pp. 5074-5081, Oct. 2008.
23. A. Asdi and A. Tewfik, "Detection of weak signals using adaptive stochastic resonance, " in Proc. Int. Conf. Acoust., Speech, Signal Process. (ICASSP), vol. 2, Detroit, Michigan, May 1995, pp. 1332-1335.
24. S. Zozor and P.-O. Amblard, "On the use of stochastic resonance in sine detection, " Signal Process., vol. 7, pp. 353-367, Mar. 2002.
25. -, "Stochastic resonance in locally optimal detectors, " IEEE Trans. Signal Process., vol. 51, no. 12, pp. 3177-3181, Dec. 2003.
26. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, UK: Cambridge University Press, 2004.
27. H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer-Verlag, 1994.
28. S. M. Kay, Fundamentals of Statistical Signal Processing: Detection Theory. Upper Saddle River, NJ: Prentice Hall, Inc., 1998.
29. A. Goldsmith, Wireless Communications. Cambridge, UK: Cambridge University Press, 2005.
30. K. E. Parsopoulos and M. N. Vrahatis, Particle swarm optimization method for constrained optimization problems. IOS Press, 2002, pp. 214-220, in Intelligent Technologies-Theory and Applications: New Trends in Intelligent Technologies.
31. A. I. F. Vaz and E. M. G. P. Fernandes, "Optimization of nonlinear constrained particle swarm, " Baltic Journal on Sustainability, vol. 12, no. 1, pp. 30-36, 2006.
32. K. V. Price, R. M. Storn, and J. A. Lampinen, Differential Evolution: A Practical Approach to Global Optimization. New York: Springer, 2005.
33. L. Huang and M. J. Neely, "The optimality of two prices: Maximizing revenue in a stochastic network, " in Proc. 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, Sep. 2007.
34. C. C. Pugh, Real Mathematical Analysis. New York: Springer-Verlag, 2002.
35. R. T. Rockafellar, Convex Analysis. Princeton, NJ: Princeton University Press, 1968.
36. D. P. Bertsekas, A. Nedic, and A. E. Ozdaglar, Convex Analysis and Optimization. Boston, MA: Athena Specific, 2003.