调幅信号激励的线性振荡器的随机共振
doi: 10.3724/SP.J.1146.2005.01612
Stochastic Resonance of a Linear Oscillator Stimulated by an Amplitude-Modulation Signal
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摘要: 该文研究了调幅信号激励下受随机电报噪声扰动的过阻尼线性振荡器的随机共振现象。基于线性系统理论，得到了上、下边频分量输出幅度增益的精确表达式。研究表明，上(或下)边频分量输出幅度增益是噪声的强度和相关时间以及上(或下)边频分量频率的非单调函数。而且，适当的噪声参数和振荡器参数可以使噪声情况下的上、下边频分量的输出幅度增益大于无噪声时的输出幅度增益。讨论了噪声的强度、边频分量的频率及振荡器的参数对输出幅度增益的影响。Abstract: The phenomenon of stochastic resonance of an over-damped linear oscillator stimulated by an amplitude-modulation signal and a random telegraph noise is investigated. The exact expressions of the Output-Amplitude-Gain (OAG) of the Upper Side-frequency Component (USC) and the Lower Side-frequency Component (LSC) are obtained based on linear-system theory. It is shown that the OAG of the USC (or the LSC) is a non-monotonic function of the strength and correlation time of the noise as well as the frequency of the USC (or the LSC). Furthermore, by choosing appropriate parameters of the noise and the oscillator, the OAG of the USC and LSC of the noisy oscillator can be larger than that of the noise-free oscillator. The effect of the noise strength and the frequency of the side-frequency components as well as the parameters of the oscillator on the OAG are discussed.
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