Stochastic resonance is significant for signal detection. In this paper, a method to improve the stochastic resonance performance in a bistable system excited by bounded noise is studied. Specifically, we add a high-frequency signal to the system as an auxiliary excitation to induce vibrational resonance and focus on the influence of the auxiliary excitation waveform on the improvement effect. We investigate the stochastic resonance performance improved by a fast excitation in different waveforms through numerical simulations. The results show that, the improvement effect of the stochastic resonance depends on the waveform of the fast excitation closely. The symmetry property and constant component of the fast excitation are two key factors. Further, we accomplish the circuit simulation by constructing a circuit to generate bounded noise and the circuit of the bistable system.

中文翻译：

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不同快速激励对有界噪声激励系统随机共振改善的影响

随机共振对于信号检测很重要。本文研究了一种提高有界噪声激励双稳态系统随机共振性能的方法。具体而言，我们在系统中加入高频信号作为辅助激励，以诱发振动共振，并重点研究辅助激励波形对改善效果的影响。我们通过数值模拟研究了通过不同波形的快速激发改善的随机共振性能。结果表明，随机共振的改善效果与快速激发的波形密切相关。快速激发的对称性和恒定分量是两个关键因素。进一步，