信号调制三值噪声作用下有源低通滤波器中的随机共振

Stochastic resonance phenomenon in an active low-pass filter circuit with signal-modulated trichotomous noise

摘要:

研究了具有信号调制三值噪声的低通滤波器电路中的随机共振现象。基于线性系统理论，利用三值噪声的统计性质，推导出了系统输出幅度增益的解析表达式。研究表明，输出幅度增益是输入信号的频率、滤波器电路的电容值、电阻值、噪声的幅度及平坦度的非单调函数。系统截止频率和带宽比没有噪声时明显增大。

Abstract:

The stochastic resonance phenomenon in a low-pass filter circuit driven by a multiplicative and signal-modulated trichotomous noise is investigated. Under linear system theory, applying the statistical properties of the trichotomous noise, the analytical expression of the output amplitude gain (AG) is derived. It is shown that the AG is a non-monotonic function (NF) of the frequency of the input signal, an NF of the values of the capacitance and resistance, as well as an NF of the amplitude and flatness of the trichotomous noise. The cut-off frequency and band-width of the system becomes larger than those of the noise-free system.