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Sensors 2015, 15(5), 9928-9941; doi:10.3390/s150509928

A High-Resolution Demodulation Algorithm for FBG-FP Static-Strain Sensors Based on the Hilbert Transform and Cross Third-Order Cumulant

1
Optoelectronic System Laboratory, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China
2
Institute of Electrical and Electronic Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M.N. Passaro
Received: 25 January 2015 / Revised: 10 April 2015 / Accepted: 20 April 2015 / Published: 27 April 2015
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [1422 KB, uploaded 27 April 2015]   |  

Abstract

Static strain can be detected by measuring a cross-correlation of reflection spectra from two fiber Bragg gratings (FBGs). However, the static-strain measurement resolution is limited by the dominant Gaussian noise source when using this traditional method. This paper presents a novel static-strain demodulation algorithm for FBG-based Fabry-Perot interferometers (FBG-FPs). The Hilbert transform is proposed for changing the Gaussian distribution of the two FBG-FPs’ reflection spectra, and a cross third-order cumulant is used to use the results of the Hilbert transform and get a group of noise-vanished signals which can be used to accurately calculate the wavelength difference of the two FBG-FPs. The benefit by these processes is that Gaussian noise in the spectra can be suppressed completely in theory and a higher resolution can be reached. In order to verify the precision and flexibility of this algorithm, a detailed theory model and a simulation analysis are given, and an experiment is implemented. As a result, a static-strain resolution of 0.9 nε under laboratory environment condition is achieved, showing a higher resolution than the traditional cross-correlation method. View Full-Text
Keywords: FBG-based Fabry-Perot interferometers; static strain; demodulation algorithm; Hilbert transform; cross third-order cumulant; high resolution FBG-based Fabry-Perot interferometers; static strain; demodulation algorithm; Hilbert transform; cross third-order cumulant; high resolution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Huang, W.; Zhen, T.; Zhang, W.; Zhang, F.; Li, F. A High-Resolution Demodulation Algorithm for FBG-FP Static-Strain Sensors Based on the Hilbert Transform and Cross Third-Order Cumulant. Sensors 2015, 15, 9928-9941.

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