A method is proposed to induce strong aperiodic resonance in a linear frequency modulated signal excited nonlinear system. The phenomenon has application value in weak linear frequency modulated signal enhancement. The spectral amplification factor is used to measure the aperiodic resonance performance. By piece-wise analysis, appropriate system parameters are found. Then, a strong resonance output is achieved. The cross-correlation coefficient between the input and the output is another measurement of aperiodic resonance. However, there is a weakness in analysis of the linear frequency modulated signal. To overcome the shortness, a modified cross-correlation coefficient is proposed. As a result, the error of the cross-correlation coefficient induced by the phase difference of the excited signal is eliminated. In addition, by adding another much faster excitation, aperiodic resonance is further enhanced by vibrational resonance.

中文翻译：

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线性调频信号诱发的非周期性共振

提出了一种在线性调频信号激励非线性系统中引起强烈的非周期性共振的方法。该现象在弱线性调频信号增强中具有应用价值。频谱放大因子用于测量非周期性共振性能。通过分段分析，找到合适的系统参数。然后，实现了强共振输出。输入和输出之间的互相关系数是非周期性共振的另一种度量。但是，在分析线性调频信号方面存在缺陷。为了克服这种不足，提出了一种改进的互相关系数。结果，消除了由激励信号的相位差引起的互相关系数的误差。此外，