The Sequential Estimation of the Seismoacoustic Source Energy in C-OTDR Monitoring Systems

Authors: Andrey V. Timofeev, Dmitry V. Egorov

Abstract:

The practical efficient approach is suggested for estimation of the seismoacoustic sources energy in C-OTDR monitoring systems. This approach is represents the sequential plan for confidence estimation both the seismoacoustic sources energy, as well the absorption coefficient of the soil. The sequential plan delivers the non-asymptotic guaranteed accuracy of obtained estimates in the form of non-asymptotic confidence regions with prescribed sizes. These confidence regions are valid for a finite sample size when the distributions of the observations are unknown. Thus, suggested estimates are non-asymptotic and nonparametric, and also these estimates guarantee the prescribed estimation accuracy in form of prior prescribed size of confidence regions, and prescribed confidence coefficient value.

Keywords: C-OTDR-system, guaranteed estimates, nonparametric estimation, sequential confidence estimation, multichannel monitoring systems.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1110129

References:

[1] J. C. Juarez, E. W. Maier, K. N. Choi, and H. F. Taylor, “Distributed Fiber-Optic Intrusion Sensor System”, Journal of Lightwave Technology, Vol. 23, Issue 6, 2005, pp. 2081-2087.
[2] S. S. Mahmoud, Y. Visagathilagar, J. Katsifolis., “Real-time distributed fiber optic sensor for security systems: Performance, event classification and nuisance mitigation". Photonic Sensors, Vol.2, Issue 3, 2012, pp. 225-236.
[3] V. Korotaev, V. M. Denisov, A. V. Timofeev, and M. G. Serikova, "Analysis of seismoacoustic activity based on using optical fiber classifier," in Latin America Optics and Photonics Conference, OSA Technical Digest (online) (Optical Society of America, 2014), paper LM4A.22.
[4] A. V. Timofeev, "Monitoring the Railways by Means of C-OTDR Technology", International Journal of Mechanical, Aerospace, Industrial and Mechatronics Engineering, 9(5), 2015, 620-623.
[5] Timofeev A. V., Egorov D. V., Multichannel classification of target signals by means of an SVM ensemble in C-OTDR systems for remote monitoring of extended objects, MVML-2014 Conference Proceedings V.1, Prague, 2014.
[6] Timofeev A. V. The guaranteed detection of the seismoacoustic emission source in the C- OTDR systems, International Journal of Mathematical, Computational, Physical and Quantum Engineering, Vol.8, Issue 10, 2014, pp. 1213-1216.
[7] A. V. Timofeev, Non-asymptotic sequential confidence regions with fixed sizes for the multivariate nonlinear parameters of regression, Statistical Methodology, Vol.8, 5, 2009, pp. 513-526.