噪声扰动下RLC串联谐振电路随机共振的数值研究

涂水林;邬正义;吴正阳

振动与冲击 ›› 2012, Vol. 31 ›› Issue (23) : 109-114.

PDF(2415 KB)
PDF(2415 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (23) : 109-114.
论文

噪声扰动下RLC串联谐振电路随机共振的数值研究

  • 涂水林,邬正义,吴正阳
作者信息 +

Numerical research of the phenomenon of stochastic resonance in noise disturbance RLC series resonant circuit

  • TU Shui-lin1, WU Zhenyi,WU zhengyang
Author information +
文章历史 +

摘要

采用四阶Runge-Kutta算法,以信噪比增益和谱功率放大率为随机共振测度指标,研究了电容参数和激励信号均受高斯白噪声扰动时RLC串联谐振电路的随机共振现象。研究表明,欠阻尼RLC串联谐振电路在适当的电路参数、激励信号频率和噪声参数条件下,信噪比增益和谱功率放大率是噪声强度和输入信号频率的非单调函数,且其值均大于1,电路中存在随机共振现象;而在临界阻尼或过阻尼情况下尽管信噪比增益在一定条件下也是噪声强度和输入信号频率的非单调函数,但谱功率放大率取值小于1,电路发生了随机共振现象,改善了信噪比,信号能量却并未得到加强。这一结论使得将欠阻尼RLC串联谐振电路应用于微弱信号检测成为可能。

Abstract

This paper studied the phenomenon of stochastic resonance in RLC series resonant circuit whose capacitance parameters and excitation signal disturbed by Gaussian white noise with using Fourth-order Runge-Kutta algorithm and Signal to noise ratio(SNR) gain and spectral power magnification as the indicators for the stochastic resonance (SR) measurements.The results show that Underdamped RLC series resonant circuit under the appropriate system parameters,noise parameters and excitation signal frequency conditions, the SNR gain and spectral power magnification are non-monotonic functions of the noise intensity and the frequency of the input signal,and their values are greater than 1,Stochastic resonance phenomenon occurred in the circuit。
But In the critical damping or overdamped case despite the SNR gain under certain conditions is also non-monotonic function of noise intensity and the input signal frequency, but the spectral power magnification value is less than 1, the occurrence of stochastic resonance improved SNR, signal energy has not been strengthened.This conclusion makes the application of underdamped RLC series resonant circuit used in weak signal detection possible.

关键词

噪声 / 串联谐振电路 / 随机共振 / 数值研究

Key words

Series resonant circuit / stochastic resonance / Numerical research

引用本文

导出引用
涂水林;邬正义;吴正阳. 噪声扰动下RLC串联谐振电路随机共振的数值研究[J]. 振动与冲击, 2012, 31(23): 109-114
TU Shui-lin;WU Zhenyi;WU zhengyang. Numerical research of the phenomenon of stochastic resonance in noise disturbance RLC series resonant circuit[J]. Journal of Vibration and Shock, 2012, 31(23): 109-114

PDF(2415 KB)

Accesses

Citation

Detail

段落导航
相关文章

/