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

• DOI: 10.5281/zenodo.1110128
• Publication Date: 2015-10-05
• Authors: Timofeev, Andrey V.; Egorov, Dmitry V.
• Keywords: multichannel monitoring systems.; C-OTDR-system; sequential confidence estimation; nonparametric estimation; 0101 mathematics; 01 natural sciences; guaranteed estimates

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.<br/>{"references": ["J. C. Juarez, E. W. Maier, K. N. Choi, and H. F. Taylor, \"Distributed\nFiber-Optic Intrusion Sensor System\", Journal of Lightwave\nTechnology, Vol. 23, Issue 6, 2005, pp. 2081-2087.", "S. S. Mahmoud, Y. Visagathilagar, J. Katsifolis., \"Real-time distributed\nfiber optic sensor for security systems: Performance, event classification\nand nuisance mitigation\". Photonic Sensors, Vol.2, Issue 3, 2012, pp.\n225-236.", "V. Korotaev, V. M. Denisov, A. V. Timofeev, and M. G. Serikova,\n\"Analysis of seismoacoustic activity based on using optical fiber\nclassifier,\" in Latin America Optics and Photonics Conference, OSA\nTechnical Digest (online) (Optical Society of America, 2014), paper\nLM4A.22.", "A. V. Timofeev, \"Monitoring the Railways by Means of C-OTDR\nTechnology\", International Journal of Mechanical, Aerospace,\nIndustrial and Mechatronics Engineering, 9(5), 2015, 620-623.", "Timofeev A. V., Egorov D. V., Multichannel classification of target\nsignals by means of an SVM ensemble in C-OTDR systems for remote\nmonitoring of extended objects, MVML-2014 Conference Proceedings\nV.1, Prague, 2014.", "Timofeev A. V. The guaranteed detection of the seismoacoustic\nemission source in the C- OTDR systems, International Journal of\nMathematical, Computational, Physical and Quantum Engineering,\nVol.8, Issue 10, 2014, pp. 1213-1216.", "A. V. Timofeev, Non-asymptotic sequential confidence regions with\nfixed sizes for the multivariate nonlinear parameters of regression,\nStatistical Methodology, Vol.8, 5, 2009, pp. 513-526."]}<br/>