论文部分内容阅读
本文将α稳定噪声与双稳随机共振系统相结合,研究了不同α稳定噪声环境下高低频(均为多频)微弱信号检测的参数诱导随机共振现象,探究了α稳定噪声的特征指数α(0<α≤2)和对称参数β(-1≤β≤1)及随机共振系统参数a,b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,通过调节系统参数a和b均可诱导随机共振来实现多个高、低频微弱信号的检测,且存在多个a,b参数区间均可诱导随机共振,这些区间不随α或β的变化而变化;在高、低频微弱信号检测中,α或β对随机共振输出效应的作用规律相同.本研究结果将有助于α稳定噪声环境下参数诱导随机共振现象中系统参数的合理选取,进而可为实现基于随机共振的多频微弱信号检测方法的工程应用奠定基础.
In this paper, the α-stable noise and the bistable stochastic resonance system are combined to study the parameter-induced stochastic resonance phenomenon of the low and high frequency (all multi-frequency) weak signals in different α-stable noise environments. 0 <α≤2) and the symmetrical parameter β (-1≤β≤1) and the parameters a, b of the stochastic resonance system on the resonance output effect.The results show that under the α stable noise environment with different distribution, Both system parameters a and b can induce stochastic resonance to detect multiple high and low frequency weak signals, and multiple a and b parameter intervals can induce stochastic resonance. These intervals do not change with the change of α or β. , Low frequency faint signal detection, α or β on the stochastic resonance output effect of the same law.The results of this study will help in the α-stable noise conditions parameter-induced stochastic resonance phenomenon in the rational selection of system parameters, and then can be based on the realization of random Resonance multi-frequency weak signal detection method of engineering applications laid the foundation.