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Sensors 2018, 18(2), 409; https://doi.org/10.3390/s18020409

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

1
Shanghai Key Laboratory of All Solid-State Laser and Applied Techniques, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
2
University of Chinese Academy of Sciences, Beijing 100049, China
3
Nanjing Pioneer Lasersensing, Nanjing 210019, China
*
Authors to whom correspondence should be addressed.
Received: 21 November 2017 / Revised: 23 January 2018 / Accepted: 29 January 2018 / Published: 31 January 2018
(This article belongs to the Section Physical Sensors)
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Abstract

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. View Full-Text
Keywords: fiber optics sensors; optical time domain reflectometry; scattering; Brillouin fiber optics sensors; optical time domain reflectometry; scattering; Brillouin
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Zheng, H.; Fang, Z.; Wang, Z.; Lu, B.; Cao, Y.; Ye, Q.; Qu, R.; Cai, H. Brillouin Frequency Shift of Fiber Distributed Sensors Extracted from Noisy Signals by Quadratic Fitting. Sensors 2018, 18, 409.

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