卡尔曼滤波在分布式拉曼光纤温度传感系统去噪中的应用

Reduction of system noise in distributed optical fiber Raman temperature sensor by Kalman filter

  • 摘要: 提出一种基于卡尔曼滤波的统计学方法,对光纤温度传感系统的状态进行实时估计并去除系统的噪声,提高光纤传感系统的准确度。光纤温度传感系统属于线性动态系统,被测温度是服从高斯-马尔科夫随机过程的离散时间状态变量,状态噪声是加性高斯白噪声。基于贝叶斯最大后验概率推论(MAP)和最小均方误差(MMSE)准则,新的测量值通过量测更新方程修正后验状态估计值。这种迭代的算法最终可以得到状态的最优估计值。该模型和算法应用在分布式拉曼光纤温度传感系统(DOFS)FGC-LR 中,对其性能进行研究。用局部方差和信噪比评估该算法去噪的能力。常温点处温度的局部方差减小了83.56%,高温点处减小了84.09%。两探测点处的温度信噪比分别提高了18.45%和16.80%。算法在提高光纤传感系统的准确度,实现实时测量上取得了很好的效果。

     

    Abstract: An estimation algorithm based on Kalman filer was developed to remove noise of the fiber temperature sensing system and to estimate the state in real time. The fiber temperature sensing system was the linear and dynamical system. Temperature was the time-discrete state variable which was modeled by Gauss-Markov random process with the additive and white Gaussian state noise. Based on Bayesian-MAP inference and MMSE criterion, the posterior state can be estimated by update equations with new measure. Given the initial parameters, the optimal estimator of temperature was achieved by such iterative process. FGC-LR, the distributed optical fiber Raman temperature sensing system, was the experimental setup with 2 km sensing fiber. The interval between adjacent sample points was 1 m. Local variance and SNR were used to evaluate the algorithm's performance in noise removal and estimation. The local variance is reduced by 83.56% at low temperature point and 84.09% at high temperature point. SNR at the normal temperature point (at 1 000 thm) and the heated points (at 1850 thm) are increased 18.45% and 16.80% respectively. These mean that the algorithm works well in noise removal of fiber sensing signal both at room-temperature and at heated points.

     

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