中文摘要：

本文将晓稳定噪声与双稳随机共振系统相结合，研究了不同a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0c稳定噪声的特征指数0[（0〈a≤2）和对称参数p（-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a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0c或p的变化而变化；在高、低频微弱信号检测中，05或卢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a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．

英文摘要：

In this paper we combine a stable noise with bistable stochastic resonance to investigate the parameter-induced stochastic reso- nance in the high-and low-frequency （both for multi-frequency） weak signal detection with different a stable noise, and explore the action laws between the stability index a（O 〈 a 〈 2） and skewness parameter/3 （-1 〈b〈 1） of a stable noise, and the resonance system parameters a, b on the resonant output effect. Results show that for different distribution of ~ stable noise, the high- and low- frequency weak signal detection can be realized by tuning the system parameters a and b. The intervals of a and b which can induce stochastic resonances are multiple, and do not change with a or/3. Moreover, while detecting the high- and low-frequency weak signal, the action laws of the resonant output effect which are affected by a or/3 are the same. These results will contribute to realize a reasonable selection of parameter-induced stochastic resonance system parameters under a stable noise, and lay the foundation for a practical engineering application of multi-frequency weak signal detection based on the stochastic resonance.