Interference fading suppression with fault-tolerant Kalman filter in phase-sensitive OTDR.

Yu Wang, Chunchen He, Waner Du, Huirong Hu, Qing Bai, Xin Liu, Baoquan Jin
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Abstract

A multi-sensor information fusion algorithm based on fault-tolerant Kalman filter is proposed in phase-sensitive optical time-domain reflectometer (Φ-OTDR) system, for achieving fading-free distributed vibration sensing. Firstly, a fault-tolerant dual-core complementary array model is designed. The Rayleigh scattering signal denoising, and vibration existence judgment of localization points are carried out to obtain the differentiated frequency demodulation results of the sensing points of the dual-core fiber array. Then a fault-tolerant control strategy is used to determine the sensor weight coefficients and vibration judgment coefficients during data fusion processing, and array data fusion is carried out based on time series data using Kalman filter to realize error value identification and filling. The advantage of this method is the combination of redundant data in a complementary way to improve the system stability. The frequency response ranges from 10 Hz to 2400 Hz and the localization accuracy is 98.33%. The influence of key parameters on the frequency demodulation performance of fault-tolerant Kalman filter is discussed, and a standard deviation of 14.6 Hz and an average error of 7.6 Hz are obtained. The demodulation frequency data matrix obtained by the classical demodulation method has a demodulation error probability of 89.18%, which proves the widespread existence of demodulation errors in vibration signals. The fusion error of demodulation frequency is reduced to 0.25 Hz, the frequency demodulation accuracy reaches 100%, and the demodulation error caused by interference attenuation can be completely eliminated. This system based on fault-tolerant Kalman filter has the characteristics of simple multiplexing structure, interference fading resistance and stable demodulation performance.

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在相位敏感 OTDR 中使用容错卡尔曼滤波器抑制干扰衰减。
在相敏光学时域反射仪(Φ-OTDR)系统中提出了一种基于容错卡尔曼滤波器的多传感器信息融合算法,以实现无衰落分布式振动传感。首先,设计了容错双核互补阵列模型。通过瑞利散射信号去噪和定位点振动存在性判断,得到双核光纤阵列传感点的差分频率解调结果。然后采用容错控制策略确定数据融合处理过程中的传感器权重系数和振动判断系数,利用卡尔曼滤波器基于时间序列数据进行阵列数据融合,实现误差值识别和填充。这种方法的优势在于以互补的方式组合冗余数据,从而提高系统稳定性。频率响应范围为 10 Hz 至 2400 Hz,定位精度为 98.33%。讨论了关键参数对容错卡尔曼滤波器频率解调性能的影响,得出标准偏差为 14.6 Hz,平均误差为 7.6 Hz。经典解调方法得到的解调频率数据矩阵的解调误差概率为 89.18%,证明了振动信号中解调误差的普遍存在。解调频率的融合误差降低到 0.25 Hz,频率解调精度达到 100%,干扰衰减引起的解调误差可以完全消除。这种基于容错卡尔曼滤波器的系统具有复用结构简单、抗干扰衰减、解调性能稳定等特点。
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