摘要
本文将α稳定噪声与单稳随机共振系统相结合,研究了乘性和加性α稳定噪声环境下的过阻尼单稳随机共振现象,探究了α稳定噪声特征指数α(0<α2)、对称参数β(-1β1),单稳系统参数a及乘性α稳定噪声放大系数D对共振输出效应的作用规律.研究结果表明,在不同分布的α稳定噪声环境下,在一定范围内通过调节a或D均可诱导随机共振来实现单个或多个高、低频微弱信号的检测,且a和D分别存在一个最优值可使系统产生最佳的随机共振效应;不同α或β均可对系统共振输出效应产生规律性的影响,且α或β在高、低频微弱信号检测中的作用规律相同;在研究α稳定噪声环境下单、多频单稳随机共振现象时所得结论是相同的.本研究结果可为实现α稳定噪声环境下单稳随机共振系统参数的自适应调节奠定基础.
In this paper we combine α stable noise with a monostable stochastic resonance （SR） system to investigate the overdamped monostable SR phenomenon with multiplicative and additive a stable noise, and explore the action laws of the stability index α（0 〈 α≤ 2） and skewness parameter β（-1 ≤β ≤ 1） of the α stable noise, the monostable system parameter α, and the amplification factor D of the multiplicative α stable noise against the resonance output effect. Results show that for different distributions of α stable noise, the single or multiple low-and high-frequency weak signals detection can be realized by adjusting the parameter a or D within a certain range. For a or D, respectively, there is an optimal value which can make the system produce the best SR effect. Different α or β can regularly change the system resonance output effect. Moreover, when α or β is given different values, the evolution laws in the monostable SR system excited by low-and high-frequency weak signals are the same. The conclusions drawn for the study of single-and multi-frequency monostable SR with α stable noise are also the same. These results will be the foundation for realizing the adaptive parameter adjustment in the monostable SR system with α stable noise.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2014年第7期41-49,共9页
Acta Physica Sinica
基金
国家自然科学基金(批准号:61304204)
陕西省教育厅自然科学专项基金(批准号:2013JK1050)资助的课题~~
关键词
单稳随机共振
α稳定噪声
微弱信号检测
平均信噪比增益
monostable stochastic resonance, α stable noise, weak signal detection, mean of signal-to-noise ratio gain
