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In this paper, (supra-threshold) stochastic resonance phenomenon of noise-enhanced information transmission is studied in detail through the numerical calculation and the computer simulation in a non-linear multilevel threshold neural networks system, which is affected by both additive noise and multiplicative noise, then the mutual information is used to characterize the phenomenon. The mutual information as a function of additive noise intensity or multiplicative noise intensity brings on convex changes under a suitable system threshold and a fixed multiplicative noise intensity or additive noise intensity, which shows that the (supra-threshold) stochastic resonance phenomenon occurs. The increases in the number of the system threshold units can enhance the effectiveness of information transmission; the increase of the system threshold can increase the signal components that are under the threshold, and thus the supra-threshold stochastic resonance takes place more easily. In addition, by changing the additive noise intensity the supra-threshold stochastic resonance occurs more easily than by changing the multiplicative noise intensity. The above results show that both the existence of the supra-threshold stochastic resonance and the effectiveness of noise-improved the signal transmission are closely related to multiplicative or additive noise intensity, the number of threshold units, and the system threshold level.
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Keywords:
- neural networks system /
- noises /
- (supra-threshold) stochastic resonance /
- mutual information
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[4] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
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[22] Wang Y G, Wu L N 2007 Fluct. Noise Lett. 7 L449
[23] [24] [25] Wang Y G, Wu L N 2005 Fluct. Noise Lett. 5 L435
[26] Kosko B, Mitaim S 2003 Neural Networks 16 755
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[30] Guo F, Zhou Y R, Zhang Y 2010 Chin. Phys. B 19 070504
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[39] [40] Cao J, Daniel W C Ho, Huang X 2007 Nonlin. Anal. 66 1558
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[45] [46] [47] Mcdonnell M D, Stocks N G, Pearce C E M, Abbott D 2005 Fluct. Noise Lett. 5 L457
[48] McDonnell M D, Abbott D, Pearce C E M 2002 Microelectr. J. 33 1079
[49] [50] [51] Stocks N G, Allingham D, Morse R P 2002 Fluct. Noise Lett. 2 L169
[52] Rousseau D, Duan F, Chapeau-Blondeau F 2003 Phys. Rev. E 68 031107
[53] [54] [55] Rousseau D, Chapeau-Blondeau F 2004 Phys. Lett. A 321 280
[56] [57] Stocks N G 2001 Phys. Lett. A 279 308
[58] [59] Gammaitoni L, Marchesoni F, Menichella-Saetta E, Santucci S 1994 Phys. Rev. E 49 4878
[60] Barzykin A V, Seki K 1997 Europhys. Lett. 40 117
[61] [62] Barzykin A V, Seki K, Shibata F 1998 Phys. Rev. E 57 6555
[63] [64] [65] Zhang J J, Jin Y F 2012 Acta Phys. Sin. 61 130502 (in Chinese) [张静静, 靳艳飞 2012 61 130502]
[66] Guo Y F, Tan J G 2012 Acta Phys. Sin. 61 170502 (in Chinese) [郭永峰, 谭建国 2012 61 170502]
[67] -
[1] Benzi R, Stuera A, Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[2] [3] McNamara B, Wiesenfeld K 1998 Phys. Rev. A 39 4854
[4] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[5] [6] Mitaim S, Kosko B 1998 Proc. IEEE 86 2152
[7] [8] [9] Chen H, Varshney P K, Kay S, Michels J H 2007 IEEE Trans. Sign. Process. 55 3172
[10] Chapeau-Blondeau F, Godivier X 1997 Phys. Rev. E 55 1478
[11] [12] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[13] [14] McNamara B, Wiesenfeld K, Roy R 1988 Phys. Rev. Lett. 60 2626
[15] [16] Zhou T, Moss F, Jung P 1990 Phys. Rev. A 42 3161
[17] [18] [19] Chialvo D R, Longtin A, Muller-Gerking J 1997 Phys. Rev. E 55 1798
[20] [21] Kay S 2000 IEEE Sign. Process. Lett. 7 8
[22] Wang Y G, Wu L N 2007 Fluct. Noise Lett. 7 L449
[23] [24] [25] Wang Y G, Wu L N 2005 Fluct. Noise Lett. 5 L435
[26] Kosko B, Mitaim S 2003 Neural Networks 16 755
[27] [28] [29] Bulsara A R, Zador A 1996 Phys. Rev. E 54 R2185
[30] Guo F, Zhou Y R, Zhang Y 2010 Chin. Phys. B 19 070504
[31] [32] Collins J J, Chow C C, Capela A C, Imhoff T T 1995 Phys. Rev. E 52 3321
[33] [34] Stocks N G 2000 Phys. Rev. Lett. 84 2310
[35] [36] Nikitin A, Stocks N G, Morse R P 2007 Phys. Rev. E 75 021121
[37] [38] Cao J, Wang Z, Sun Y 2007 Physica A 385 718
[39] [40] Cao J, Daniel W C Ho, Huang X 2007 Nonlin. Anal. 66 1558
[41] [42] Stocks N G 2001 Phys. Rev. E 63 041114
[43] [44] Stocks N G, Mannella R 2001 Phys. Rev. E 64 030902
[45] [46] [47] Mcdonnell M D, Stocks N G, Pearce C E M, Abbott D 2005 Fluct. Noise Lett. 5 L457
[48] McDonnell M D, Abbott D, Pearce C E M 2002 Microelectr. J. 33 1079
[49] [50] [51] Stocks N G, Allingham D, Morse R P 2002 Fluct. Noise Lett. 2 L169
[52] Rousseau D, Duan F, Chapeau-Blondeau F 2003 Phys. Rev. E 68 031107
[53] [54] [55] Rousseau D, Chapeau-Blondeau F 2004 Phys. Lett. A 321 280
[56] [57] Stocks N G 2001 Phys. Lett. A 279 308
[58] [59] Gammaitoni L, Marchesoni F, Menichella-Saetta E, Santucci S 1994 Phys. Rev. E 49 4878
[60] Barzykin A V, Seki K 1997 Europhys. Lett. 40 117
[61] [62] Barzykin A V, Seki K, Shibata F 1998 Phys. Rev. E 57 6555
[63] [64] [65] Zhang J J, Jin Y F 2012 Acta Phys. Sin. 61 130502 (in Chinese) [张静静, 靳艳飞 2012 61 130502]
[66] Guo Y F, Tan J G 2012 Acta Phys. Sin. 61 170502 (in Chinese) [郭永峰, 谭建国 2012 61 170502]
[67]
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