Brillouin Scattering Spectrum Analysis Based on Auto-Regressive Spectral Estimation

Abstract

Auto-regressive (AR) spectral estimation technology is proposed to analyze the Brillouin scattering spectrum in Brillouin optical time-domain refelectometry. It shows that AR based method can reliably estimate the Brillouin frequency shift with an accuracy much better than fast Fourier transform (FFT) based methods provided the data length is not too short. It enables about 3 times improvement over FFT at a moderate spatial resolution.

Keywords

Brillouin optical time-domain reflectometry (BOTDR) / auto-regressive (AR) model / spectral estimation / distributed fiber-optic sensing

References

[1] Yeniay A., Delavaux J. M., Toulouse J.. Spontaneous and stimulated Brillouin scattering gain spectra in optical fibers. Journal of Lightwave Technology, 2002, 20(8): 1425-1432.

[2] Stoica P., Moses R.. Spectral analysis of signals, 2005 1-452.

[3] Geng J. H., Staines S., Blake M., Jiang S. B.. Distributed fiber temperature and strain sensor using coherent radio-frequency detection of spontaneous Brillouin scattering. Applied Optics, 2007, 46(23): 5928-5932.

[4] Measurement Science & Technology, 2009, 20(2

[5] Tu G. J., Zhang X. P., Zhang Y. X., Ying Z. F., Lu L. D.. Strain variation measurement with shorttime Fourier transform-based Brillouin optical time-domain reflectometry sensing system. Electronics Letters, 2014, 50(22): 1624-1626.

[6] Yu Y. F., Luo L. Q., Li B., Guo L. F., Yan J. Z., Soga K.. Double peak-induced distance error in short-time-Fourier-transform-Brillouin optical time domain reflectometers event detection and the recovery method. Applied Optics, 2015, 54(28): E196-E202.

[7] Wang F., Zhu C. H., Cao C. Q., Zhang X. P.. Enhancing the performance of BOTDR^based on the combination of FFT technique and complementary coding. Optics Express, 2017, 25(4): 3504-3513.

[8] Laeri F.. Some comments on maximum entropy spectral analysis of time series. Computers in Physics, 1990, 4(6): 627-636.