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首页> 外文期刊>Mechanical systems and signal processing >A novel parameter-induced stochastic resonance phenomena in fractional Fourier domain
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A novel parameter-induced stochastic resonance phenomena in fractional Fourier domain

机译：分数阶傅里叶域中的一种新的参数诱导的随机共振现象

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摘要

The parameter-induced stochastic resonance (SR) phenomenon in a novel self-adaptive dynamical system driven by linear frequency modulated (LFM) signal and additive noise is considered from the view of the signal-to-noise ratio (SNR). It is found that the dynamical system can be perfectly analyzed by equivalently transforming it into a traditional first-order linear dynamical system driven by periodic signal and additive noise in fractional Fourier transform (FrFT) domain with an optimal rotated angle, and the theoretical analysis and simulation results show that output SNR exhibits the SR behavior when it is plotted as a function of the system parameter. Furthermore, the optimal value of adjusted parameter is obtained, and the possible area of SNR gain is theoretically determined only by center-frequency and modulated frequency of the driving LFM signal.
机译：从信噪比（SNR）的角度考虑了一种由线性调频（LFM）信号和加性噪声驱动的新型自适应动力系统中的参数诱发的随机共振（SR）现象。结果发现，通过将系统等效变换为分数阶傅里叶变换（FrFT）域中具有周期性旋转角的周期信号和加性噪声驱动的传统一阶线性动力系统，可以进行完美分析，并进行理论分析和分析。仿真结果表明，将输出SNR绘制为系统参数的函数时，它表现出SR行为。此外，获得调节参数的最佳值，并且理论上仅由驱动LFM信号的中心频率和调制频率来确定SNR增益的可能区域。

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