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浙江大学学报(工学版)
J4  2013, Vol. 47 Issue (1): 88-93    DOI: 10.3785/j.issn.1008-973X.2013.01.013
计算机技术﹑电信技术     
延迟双稳系统中乘性和加性噪声诱导的随机共振
朱福成1, 李凤保2, 雷晓燕2, 郭锋3
1. 绵阳职业技术学院,四川 绵阳621000; 2. 中国工程物理研究院 电子工程研究所,四川 绵阳621900;
3. 西南科技大学 信息工程学院, 四川 绵阳 621010
Stochastic resonance induced by multiplicative and additive noise in
time-delayed bistable system
ZHU Fu-cheng1, LI Feng-bao2, LEI Xiao-yan2, GUO Feng3
1. Mianyang Vocation and Technical College, Mianyang 621000, China;2. Institute of Electronics Engineering,
China Academy of Engineering Physics, Mianyang 621900, China; 3. School of Information Engineering,
Southwest University of Science and Technology, Mianyang 621010, China
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摘要：

在双稳系统基础上,基于随机共振(SR)理论,研究非对称双值噪声、方波信号以及乘性和加性噪声驱动的延迟双稳系统中噪声强度、噪声相关时间、方波幅度对系统输出信噪比(SNR)的影响.在绝热极限条件下,利用小延迟近似,得到系统输出信噪比的表达式,给出SNR随噪声强度、噪声相关时间以及方波信号幅度的变化曲线.结果表明,SNR与双值噪声的强度和非对称性、与乘性和加性噪声的强度以及与方波信号的幅度关系都表现出SR现象.SNR随延迟时间、色噪声的相关时间及系统参数的变化而非单调变化.
Abstract:

Based on a bistable system, the effect of noise intensity, noise correlation time, the amplitude of a square-wave signal for a timedelayed bistable system, driven by an asymmetric dichotomous noise, the square-wave signal, as well as by additive and multiplicative noise, on the system output signal-to-noise ratio (SNR) was analyzed by applying the stochastic resonance (SR) theory. Under the adiabatic limit condition, the expression of the SNR of the system was obtained by using the small delay-time approximation. The curves of the output SNR as a function of the noise strength, noise correlation time, and the amplitude of the square-wave signal were plotted. Results show that the SNR curves present SR phenomenon as a function of the intensity and asymmetry of dichotomous noise, of the strength of the multiplicative and additive noise, as well as of the amplitude of the squarewave. In addition, the SNR varies non-monotonously with the delayed-time, with the correlation time of the colored noises and with the system parameters.
出版日期: 2013-01-01
:  TN 752  
作者简介: 朱福成(1969-),男,副教授,从事通信电路与系统的研究.E-mail: zfc188@163.com
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引用本文:

朱福成, 李凤保, 雷晓燕, 郭锋. 延迟双稳系统中乘性和加性噪声诱导的随机共振[J]. J4, 2013, 47(1): 88-93.

ZHU Fu-cheng, LI Feng-bao, LEI Xiao-yan, GUO Feng. Stochastic resonance induced by multiplicative and additive noise in
time-delayed bistable system. J4, 2013, 47(1): 88-93.

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http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2013.01.013    或    http://www.zjujournals.com/eng/CN/Y2013/V47/I1/88

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