震荡随机共振的信噪比增益研究与电路仿真
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摘要
为提高硬限幅符号并联电路系统的输出信噪比,研究了震荡随机共振与阵列随机共振的机制以及电路实现方法。通过计算阵列输入输出信噪比增益,发现两类随机共振方法都能够使得非线性电路并联系统、输入信号与内部噪声(高频干扰)达到协同,并且随着阵列数目增加,信噪比增益存在大于1的区域。同样条件下,与阵列随机共振方法相比,震荡随机共振能够获得更好的输出信噪比,且易于实现。
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.
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.
引文
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[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.
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[20]Ma Y,Duan F,Chapeau-Blondeau F,et al.Weak-Periodic stochastic resonance in aparallel array of static nonlinearities[J].PLoS ONE,2013,8(3):e58507.
[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 aparallel array of static nonlinearities[J].PLoS ONE,2013,8(3):e58507.
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