Brillouin Frequency Shift of Fiber Distributed Sensors Extracted from Noisy Signals by Quadratic Fitting

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. Formu...

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Bibliographic Details
Published in:Sensors (Basel, Switzerland) Switzerland), 2018-01, Vol.18 (2), p.409
Main Authors: Zheng, Hanrong, Fang, Zujie, Wang, Zhaoyong, Lu, Bin, Cao, Yulong, Ye, Qing, Qu, Ronghui, Cai, Haiwen
Format: Article
Language:English
Subjects:
Accuracy
Brillouin
Data processing
Dependence
fiber optics sensors
Frequency shift
optical time domain reflectometry
Optics
Peak frequency
Peak frequency shift
scattering
Sensors
Signal to noise ratio
Standard deviation
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Summary: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.
ISSN:1424-8220
1424-8220
DOI:10.3390/s18020409