Brillouin Frequency Shift of Fiber Distributed Sensors Extracted from Noisy Signals by Quadratic Fitting.
Brillouin Frequency Shift of Fiber Distributed Sensors Extracted from Noisy Signals by Quadratic Fitting.
复制标题
通过二次拟合从噪声信号中提取光纤分布式传感器的布里渊频移
DOI：
10.3390/s18020409
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发表时间：
2018-01-31
期刊：
影响因子：
--
通讯作者：
Cai H
中科院分区：
文献类型：
--
作者：
Zheng H;Fang Z;Wang Z;Lu B;Cao Y;Ye Q;Qu R;Cai H
在布里渊分布式光纤传感器中，提取散射谱的峰值频率是一项基本任务，因为峰值频率偏移给出了光纤温度和应变变化的信息。由于高噪声，在数据处理中经常采用二次拟合。最小可探测布里渊频移（BFS）与信噪比（SNR）和频率阶跃的关系在文献中已有不同的表述。本文详细推导了BFS方差及其平均值的新公式，特别指出了它们与拟合所用数据范围的关系，包括距离真实的谱峰的长度和中心。理论分析得到了实验验证。结果表明，中心的数据范围有一个直接的影响，提取的BFS的准确性。我们提出并证明了一种迭代拟合方法，以减轻这种影响，提高BFS测量的准确性。对以往文献中提出的BFS方差的不同表达式进行了解释和讨论。
It is a basic task in Brillouin distributed fiber sensors to extract the peak frequency of the scattering spectrum, since the peak frequency shift gives information on the fiber temperature and strain changes. Because of high-level noise, quadratic fitting is often used in the data processing. Formulas of the dependence of the minimum detectable Brillouin frequency shift (BFS) on the signal-to-noise ratio (SNR) and frequency step have been presented in publications, but in different expressions. A detailed deduction of new formulas of BFS variance and its average is given in this paper, showing especially their dependences on the data range used in fitting, including its length and its center respective to the real spectral peak. The theoretical analyses are experimentally verified. It is shown that the center of the data range has a direct impact on the accuracy of the extracted BFS. We propose and demonstrate an iterative fitting method to mitigate such effects and improve the accuracy of BFS measurement. The different expressions of BFS variances presented in previous papers are explained and discussed.
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