Abstract：In order to improve the output signal-to-noise ratio (SNR) of a hard-limiter circuit array, we study the mechanisms of vibrational stochastic resonance and array stochastic resonance, and then demonstrate the possible improvement via the electro-circuit experiments. Using both methods of stochastic resonance, we find that nonlinear system can cooperate with input signal and internal noise, resulting in the enhancement of output SNR. Moreover, upon increasing the array size, the SNR gain can be greater than unity for certain regions of noise intensity. It is also noted that, comparing with the method of array stochastic resonance, vibrational stochastic resonance can get better output SNR, and be easily implemented.
任昱昊, 季冰, 许丽艳, 段法兵. 震荡随机共振的信噪比增益研究与电路仿真[J]. 复杂系统与复杂性科学, 2015, 12(1): 104-109.
REN Yuhao, JI Bing, XU Liyan, DUAN Fabing. Research and Circuit Simulation on SNR Gain of Vibrational Stochastic Resonance[J]. Complex Systems and Complexity Science, 2015, 12(1): 104-109.
[1] Benzi R, Sutera A, Vulpiani A. The mechanism of stochastic resonance[J]. J Phys A:Math Gen, 1981, 14(11):453-457. [2] Fauve S, Heslot F. Stochastic resonance in a bistable system[J]. Phys Lett A, 1983, 97(12):5-9. [3] McNamara B, Wiesenfeld K, Roy R. Observation of stochastic resonance in a ring laser[J]. Phys Rev Lett, 1988, 60(25):2626-2629. [4] Ueda M. Improvement of signal-to noise ratio by stochastic resonance in sigmoid function threshold systems, demonstrated using a CMOS inverter[J]. Phys A, 2010, 389(10):1978-1985. [5] Hellen E H, Dana S K, Kurths J, et al. Noise-Aided logic in an electronic analog of synthetic genetic networks[J]. PLoS ONE, 2013, 8(10):e76032. [6] Wiesenfeld K, Moss F. Stochastic resonance and the benefits of noise[J]. Nature, 1995, 373(6509):33-36. [7] Ditzinger T, Stadler M, Struber D, et al. Noise improve three-dimensional perception:stochastic resonance and other impacts of noise to the perception of auto stereograms[J]. Phys Rev E, 2000, 62(2):2566-2575. [8] Collins J, Chow C, Imhoff T. Aperiodic stochastic resonance in excitable systems[J]. Phys Rev E, 1995, 52(4):3 321-3 324. [9] 周宝晶, 杨灵法, 辛厚文. Pt(100)/NO + CO体系随机共振的理论研究[J]. 高等学校化学学报, 1999, 20(3):428-431. Zhou Baojing, Yang Lingfa, Xin Houwen. Theoretical study on stochastic resonance in Pt(100)/NO + CO system[J]. Chemical Journal of Chinese Universities, 1999, 20(3):428-431. [10] 郑文衡, 张国安, 陈俊华. 用随机共振理论解释地震孕育过程与地震发生现象中的一个显著特征[J]. 地震研究, 1998, 21(3):12-15. Zheng Wenheng, Zhang Guoan, Chen Junhua. Interpretation of the remarkable character in earthquake preparation and occurrence process from the theory of random resonance[J]. Earthquake Research, 1998, 21(3):12-15. [11] Liu Z, Lai Y, Nachman A. Enhancement of noisy signals by stochastic resonance[J]. Phys Lett A, 2002, 297(1):75-80. [12] Chapeau-Blondeau F, Godivier X. Theory of stochastic resonance in signal transmission by static nonlinear systems[J]. Phys Rev E, 1997, 55(2):1478-1495. [13] Chapeau-Blondeau F. Nonlinear test statistic to improve signal detection in non-gaussian noise[J]. IEEE Signal Processing Letters, 2000, 7(7):205-207. [14] Duan F, Chapeau-Blondeau F, Abbott D. Noise-enhanced SNR gain in parallel array of bistable oscillators[J]. Electron Lett, 2006, 42(17):1008-1009. [15] 孙婧, 段法兵. 复杂随机系统的信噪比增益研究与阵列随机共振[J]. 复杂系统与复杂性科学, 2006, 3(2):50-54. Sun Jing, Duan Fabing. Signal-to-noise ratio gain in complex random systems and array stochastic resonance[J]. Complex Systems and Complexity Science. 2006, 3(2):50-54. [16] Chialvo D R, Calvo O, Gonzalez D L, et al. Subharmonic stochastic synchronization and resonance in neuronal systems[J]. Phys Rev E, 2002, 65(5):050902(R) [17] Chialvo D R. How we hear what is not there: a neural mechanism for the missing for the missing fundamental illusion[J]. Chaos, 2003, 13(4):1226-1230. [18] Calvo O, Chialvo D R. Ghost stochastic resonance in an electronic circuit[J]. International Journal of Bifurcation and Chaos, 2006, 16(3):731-735. [19] Noguchi T, Torikai H. Ghost stochastic resonance from an asynchronous cellular automaton neuron model[J]. Circuits and Systems II: Express Briefs, 2013, 60(2):111-115. [20] Ma Y, Duan F, Chapeau-Blondeau F, et al. Weak-Periodic stochastic resonance in a parallel array of static nonlinearities[J]. PLoS ONE, 2013, 8(3):e58507.
