We study aperiodic stochastic resonance (ASR) in a biased monostable system that subjected to different weak aperiodic pulse signals and strong noise. It is found that the biased monostable system has a unique advantage compared with the bistable system in processing the weak aperiodic pulse signals. The effects of noise, the system parameters and the iteration step in the calculation on ASR are investigated in detail. The results show that ASR caused by a certain noise intensity is more obvious, and there are the best system parameters and iterative step to obtain the optimal output of ASR. Because the shape of the biased monostable system and the height of the potential well change, it can be fine-tuned from more angles to achieve an optimal output. As an application in industry, we can consider the weak damage signal of wire rope which is a typical weak aperiodic pulse signal in the noise background. Both the theoretical and application study verify the importance of ASR in the biased monostable system.

我们研究了受不同弱非周期脉冲信号和强噪声影响的偏置单稳态系统中的非周期随机共振 (ASR)。研究发现偏置单稳态系统在处理弱非周期性脉冲信号方面与双稳态系统相比具有独特的优势。详细研究了噪声、系统参数和计算中的迭代步骤对 ASR 的影响。结果表明，一定噪声强度引起的ASR更为明显，存在最佳系统参数和迭代步长以获得ASR的最优输出。由于偏置单稳态系统的形状和势阱的高度发生变化，因此可以从更多角度进行微调以达到最佳输出。作为工业应用，我们可以考虑钢丝绳的微弱损伤信号，它是噪声背景下典型的微弱非周期性脉冲信号。理论和应用研究都验证了 ASR 在偏置单稳态系统中的重要性。