中文摘要：

通过调节双稳系统参数实现大参数频率范围内周期信号的随机共振，在工程上具有重要意义．推导了双稳系统参数的归一化变换，利用归一化变换原理对大参数周期信号的随机共振进行了数值仿真，阐明该原理适用于任意频率周期信号．对大参数随机共振用电路模拟进行了实验验证，揭示了通过调节双稳系统参数可以实现大参数频率范围内的随机共振．分析了二次采样实现大参数周期信号随机共振的机理，通过数值仿真与参数归一化变换方法进行了比较．仿真结果表明，在输入信号幅度变化的情况下，二次采样方法易出现发散现象，而归一化变换具有更好的稳定性与适应性．

英文摘要：

It is of significance in engineering to achieve stochastic resonance of periodic signal with large frequency by turning the parametersof a bistable system. The normalization transform of bistable system parameter is deduced. Stochastic resonance of periodic signal with large parameters is exhibited by numerical simulation based on the proposed normalization transform, by which an arbitrary high frequency periodic signal can be processed. Analog circuit is used to verify the stochastic resonance happening in the bistable system with large parameters. The mechanism of realizing a periodic signal with large parameters by twice sampling stochastic resonance is analyzed, which is compared with normalization transform method through numerical simulation. The simulation results show that the numerical solution of twice sampling stochastic resonance is prone to being unstable with the variation of mixed input signal amplitude, while the normalization transform method possesses more stability and adaptability.