A fast method for Brillouin frequency shift estimation

Abstract A fast interpolation algorithm based on cross-correlation is proposed to estimate the BFS in BOTDA systems. The performances of the proposal are investigated through simulation and experiment in this paper. The simulation results demonstrate that the computational cost of the proposed algorithm is reduced to less than 1/22, 1/36, 1/2 and 1/5 of the Lorentzian fitting, upsampling cross-correlation, partial quadratic fitting and partial cross-correlation algorithm respectively. The experimental results indicate that the error of BFS extracted by our proposal is the same as that of the other schemes when no hotspot is presented and the error of BFS is smaller in cross-correlation based schemes than that in Lorentzian fitting scheme around hotspot.

[1]  Kenneth Levenberg A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[2]  G. Wiederhecker,et al.  Efficient anchor loss suppression in coupled near-field optomechanical resonators. , 2017, Optics express.

[3]  Kenichi Soga,et al.  Double peak-induced distance error in short-time-Fourier-transform-Brillouin optical time domain reflectometers event detection and the recovery method. , 2015, Applied optics.

[4]  L. Thévenaz,et al.  Brillouin gain spectrum characterization in single-mode optical fibers , 1997 .

[5]  Anthony W. Brown,et al.  Spatial resolution enhancement of a Brillouin-distributed sensor using a novel signal processing method , 1999 .

[6]  Chao Lu,et al.  Signal processing using artificial neural network for BOTDA sensor system. , 2016, Optics express.

[7]  M. A. Farahani,et al.  Accurate estimation of Brillouin frequency shift in Brillouin optical time domain analysis sensors using cross correlation. , 2011, Optics letters.

[8]  G.N. Newsam,et al.  Fitting the most probable curve to noisy observations , 1997, Proceedings of International Conference on Image Processing.

[9]  Moshe Tur,et al.  Analytical expression and experimental validation of the Brillouin gain spectral broadening at any sensing spatial resolution , 2017, 2017 25th Optical Fiber Sensors Conference (OFS).

[10]  Luc Thévenaz,et al.  Performance analysis of frequency shift estimation techniques in Brillouin distributed fiber sensors. , 2018, Optics express.

[12]  Mohsen Amiri Farahani,et al.  A Detailed Evaluation of the Correlation-Based Method Used for Estimation of the Brillouin Frequency Shift in BOTDA Sensors , 2013, IEEE Sensors Journal.

[13]  M. Viberg,et al.  Adaptive neural nets filter using a recursive Levenberg-Marquardt search direction , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).

[14]  Jian Wu,et al.  Theoretical and experimental investigation of an 82-km-long distributed Brillouin fiber sensor based on double sideband modulated probe wave , 2012 .

[16]  Luc Thévenaz,et al.  Modeling and evaluating the performance of Brillouin distributed optical fiber sensors. , 2013, Optics express.

[17]  Bijan Alizadeh,et al.  FPGA-Based Implementation of a Novel Method for Estimating the Brillouin Frequency Shift in BOTDA and BOTDR Sensors , 2018, IEEE Sensors Journal.