{"title":"Noise-Improved Signal Detection in Nonlinear Threshold Systems","authors":"Youguo Wang, Lenan Wu","volume":20,"journal":"International Journal of Electronics and Communication Engineering","pagesStart":1730,"pagesEnd":1733,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/13792","abstract":"We discuss the signal detection through nonlinear\r\nthreshold systems. The detection performance is assessed by the\r\nprobability of error Per . We establish that: (1) when the signal is\r\ncomplete suprathreshold, noise always degrades the signal detection\r\nboth in the single threshold system and in the parallel array of\r\nthreshold devices. (2) When the signal is a little subthreshold, noise\r\ndegrades signal detection in the single threshold system. But in the\r\nparallel array, noise can improve signal detection, i.e., stochastic\r\nresonance (SR) exists in the array. (3) When the signal is predominant\r\nsubthreshold, noise always can improve signal detection and SR\r\nalways exists not only in the single threshold system but also in the\r\nparallel array. (4) Array can improve signal detection by raising the\r\nnumber of threshold devices. These results extend further the\r\napplicability of SR in signal detection.","references":"[1] B. McNamara, K. Wiesenfeld, \"Theory of stochastic resonance,\" Physical\r\nReview A, vol. 39, pp. 4854-4869, 1989.\r\n[2] A. Restrepo, L. F. Zuluaga, L. E. Pino, \"Optimal noise levels for\r\nstochastic resonance,\" 1997 IEEE International Conference on Acoustics,\r\nSpeech, and Signal Processing, vol. 3, pp. 1617-1620, 1997.\r\n[3] B. Kosko, S. Mitaim, \"Stochastic resonance in noisy threshold neurons,\"\r\nNeural Networks, vol. 16, pp. 755-761, 2003.\r\n[4] A. Das, N. G. Stocks, A. Nikitin, and E. L. Hines, \"Quantifying stochastic\r\nresonance in a single threshold detector for random aperiodic signals,\"\r\nFluctuation and Noise Letters, vol. 4, no. 2, L247-L265, 2004.\r\n[5] N. G. Stocks, \"Supra-threshold stochastic resonance in multilevel\r\nthreshold systems,\" Physical Review Letters, vol. 84, pp. 2310-2313,\r\n2000.\r\n[6] N. G. Stocks, \"Information transmission in parallel threshold arrays:\r\nsupra-threshold stochastic resonance,\" Physical Review E, vol. 63, pp.\r\n041114, 2001.\r\n[7] N. G. Stocks, \"Supra-threshold stochastic resonance: an exact result for\r\nuniformly distributed signal and noise,\" Physics Letters A, vol. 279, pp.\r\n308-312, 2001.\r\n[8] D. Rousseau, F. Duan, and F. Chapeau-Blondeau, \"Supra-threshold\r\nstochastic resonance and noise-enhanced Fisher information in an arrays\r\nof threshold devices,\" Physical Review E, vol. 68, pp. 031107, 2003.\r\n[9] D. Rousseau, F. Chapeau-Blondeau, \"Supra-threshold stochastic\r\nresonance and signal-to-noise ratio improvement in arrays of\r\ncomparators,\" Physics Letters A, vol. 321, pp. 280-290, 2004.\r\n[10] Mark D. Mcdonnell, Derek Abbott, \"A characterization of\r\nsupra-threshold stochastic resonance in an array of comparators by\r\ncorrelation coefficient,\" Fluctuation and Noise Letters, vol. 2, no. 3, pp.\r\n213-228, 2002.\r\n[11] N. G. Stocks, R. Mannella, \"Generic noise-enhanced coding in neuronal\r\narrays,\" Physical Review E, vol. 64, pp. 030902(R), 2001.\r\n[12] N. G. Stocks, Optimizing information transmission in model neuronal\r\nensembles: the role of internal noise, Stochastic Processes in Physics,\r\nChemistry, and Biology, Edited by J. A.. Freund, Th, P\u00f6schel, Lecture\r\nNotes in Physics, 557(2000)150.\r\n[13] S. Zozor, P.-O.Amblard, \"On the use of stochastic in sine detection,\"\r\nSignal Processing, vol. 82, no. 3, pp. 353-367, 2002\r\n[14] S. Kay, \"Can detectability be improved by adding noise?\" IEEE Signal\r\nProcessing Letters, vol. 7, pp. 8-10, 2000.\r\n[15] Hu Gang, Gong De-chun, Wen Xiao-dong, Yang Chun-yun, Qing\r\nGuang-rong, and Li Rong, \"Stochastic resonance in a nonlinear system\r\ndriven by an a-periodic force,\" Physical Review A, vol. 46, pp. 3250-3254,\r\n1992.\r\n[16] M. E. Inchiosa, A. R. Bulsara, \"Signal detection statistics of stochastic\r\nresonators,\" Physical Review E, vol. 53, pp. 2021-2024, 1996.\r\n[17] F. Chapeau-Blondeau, \"Stochastic resonance for an optimal detector with\r\nphase noise,\" Signal Processing, vol. 83, pp. 665-670, 2003.\r\n[18] B. Kosko, S. Mitain; \"Robust stochastic resonance: signal detection and\r\nadaptation in impulsive noise,\" Physical Review E, vol. 64, pp.\r\n051110,1-11, 2001.\r\n[19] V.Galdi, V. Pierro, I. M. Pinto, \"Evaluation of stochastic-resonance-based\r\ndetectors of weak harmonic signals in additive white Gaussian noise,\"\r\nPhysical Review E, vol. 57, pp. 6470-6479, 1998.\r\n[20] A. Saha, G.V. Anand, \"Design of detectors based on stochastic\r\nresonance,\" Signal Processing, vol. 83, pp. 1193-1212, 2003\r\n[21] Youguo Wang, Lenan Wu, \"Stochastic resonance in nonlinear signal\r\ndetection,\" to be published.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 20, 2008"}