Abstract In structural health monitoring, vibrations often behave as non-Gaussian process, such as gear and engine failure. In this paper, a high-order cumulants algorithm-based phase-sensitive optical time-domain reflectometry is proposed to detect and analyze non-Gaussian vibration. When disturbances with non-Gaussian probability distribution are applied on the sensing fiber, the probability distribution of the Rayleigh backscattering deviates from the standard Gaussian distribution. The 3rd-order cumulant of the Rayleigh backscattering is calculated to extract the non-Gaussian signal from background white noises. Simulations and experiments are carried out. The experimental results indicate that the signal-to-noise ratio is improved by up to ∼ 14 dB with 1500 m long sensing fiber. Due to the cubic operation of the algorithm, the spatial resolution is further enhanced to 5 m with pulse width of 100 ns.

中文翻译：

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在 Φ-OTDR 中检测具有改进传感性能的非高斯振动

摘要 在结构健康监测中，振动往往表现为非高斯过程，如齿轮和发动机故障。在本文中，提出了一种基于高阶累积量算法的相敏光时域反射计来检测和分析非高斯振动。当对传感光纤施加非高斯概率分布的干扰时，瑞利背向散射的概率分布偏离标准高斯分布。计算瑞利反向散射的三阶累积量以从背景白噪声中提取非高斯信号。进行了模拟和实验。实验结果表明，使用 1500 m 长的传感光纤，信噪比提高了约 14 dB。由于算法的三次运算，