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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.
It is of great significance in engineering to adjust the bistable system parameters to achieve the stochastic resonance of the periodic signal in the large parameter frequency range.The normalized transformation of the bistable system parameters is deduced.The normalized transformation principle is used to randomize the large parameter periodic signal The results show that this principle can be applied to any frequency periodic signal.Experimental results show that the stochastic resonance in the large parameter frequency range can be achieved by adjusting the parameters of the bistable system. The results show that the subsampling method is prone to divergence when the amplitude of the input signal is changed, and the simulation results show that the quadratic sampling method is prone to divergence when the amplitude of the input signal changes. Normalized transformation has better stability and adaptability.