Adaptive Nonparametric Approach for Guaranteed Real-Time Detection of Targeted Signals in Multichannel Monitoring Systems

An adaptive nonparametric method is proposed for stable real-time detection of seismoacoustic sources in multichannel C-OTDR systems with a significant number of channels. This method guarantees given upper boundaries for probabilities of Type I and Type II errors. Properties of the proposed method are rigorously proved. The results of practical applications of the proposed method in a real C-OTDR-system are presented in this report.

Authors:

• Andrey V. Timofeev

Keywords:

• Adaptive detection
• change point
• interval estimation
• guaranteed detection
• multichannel monitoring systems.

References:

[1] K. N. Choi, J. C. Juarez, H. F. Taylor, “Distributed fiber optic
pressure/seismic sensor for low-cost monitoring of long perimeters”,
Proc. SPIE 5090, Unattended Ground Sensor Technologies and
Applications, 2003, pp. 134-141.
[2] 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.
[3] 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.
[4] 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.
[5] Y. Mei, “Sequential change-point detection when unknown parameters
are present in the pre-change distribution”, The Annals of Statistics, Vol.
34, 2006, pp. 92-122.
[6] T.L. Lai, “Sequential Change point Detection in Quality Control and
Dynamical Systems”, Journal of Royal Statistical Society, Series B, Vol.
57, 1995, pp. 613-658.
[7] 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.