Investigation of the Sensitivity of Time Based Methods to Noise in Terrestrial Localization with Normal and Abnormal Distribution

Document Type : Original Article

Authors

1 Shahid Sattari Aeronautical University of Science & Technology

2 Shahid Beheshti University

Abstract

Today, the researchers are interested to radio frequency based localization methods such as Time Of Arrival (TOA), Time Difference Of Arrival (TDOA), Angle Of Arrival (AOA), Received Signal Strength Indication (RSSI) and their combinations. In sensor networks such as the base station cellular network, time-based methods for positioning are used. For security purposes, standards have been written in order to improve the accuracy of positioning in mobile networks. One of the factors influencing positioning accuracy is the placement of the localizer receivers. In this paper, a solution to improve the accuracy of the positioning is suggested by comparing the two principal methods based on time, i.e., the time of arrival of the signal and the time difference of the signal arrival, and the separation of the noise quantity into two normal and abnormal parts. In fact, by examining the abnormal noise and calculating this amount at the desired area for positioning, the appropriate method for positioning in the sub-sections is determined and the positioning is achieved.

 

Keywords


[1]     Hasanshahi, Z.; Rahmatim, A. R.; Azmi, P. “Passive Mobile Localization Based on the Air Interface Signalling in Cellular Networks”; J. Adv. Defence Sci. & Technol. 2018, 04, 259-306 (In Persian).##
[2]     Zekavat, S. “Handbook of Position Location”; Wiley; 2012.##
[3]     Iliev, N.; Paprotny, I. “Review and Comparison of Spatial Localization Methods for Low-Power Wireless Sensor Networks”; IEEE Sens. J. 2015, 15, 5971-5987.##
[4]     Luo, J.; Zhang, X.; Wang, Z.; Lai, X. “On the Accuracy of Passive Source Localization Using Acoustic Sensor Array Networks”; IEEE Sens. J. 2017, 17, 1795-1809.##
[5]     Ji-Yan, H.; Qun, W. “Comments on the Cramer-Rao Bounds of Hybrid TOA/RSS and TDOA/RSS Location Estimation Schemes”; IEEE Commun. Lett. 2007, 22, 848-849.##
[6]     Nguyen, N.; Dogancay, K. “Optimal Geometry Analysis for Multistatic TOA Localization”; IEEE Trans. Signal Proc. 2016, 64, 4180-4193.##
[7]     Laaraiedh, M.; Amiot, N.; Avrillon, S.; Uguen, B. “Theoretical Performances Assessment of Hybrid Localization Techniques”; IEEE Stat. Signal Proc. Workshop 2011, 185-188.##
[8]     ITU “Comparison of Time-Difference-of-Arrival and Angle-of-Arrival Methods of Signal Geolocation”; https://www.itu.int/pub/R-REP-SM.2211-1-2014/ru, 2014.##
[9]     Patwari, N.; Ash, J.; Kyperountas, S.; Hero, A.; Moses, R.; Correal, N. “Locating the Nodes: Cooperative Localization in Wireless Sensor Networks”; IEEE Signal Proc. Mag. 2005, 22, 54-69.##
[10]  Shin, S. “Radar Measurement Accuracy Associated with Target RCS Fluctuation”; Electron. Lett. 2017, 53, 750-752.##
[11]  Fang, B. T. “Simple Solutions for a Hyperbolic and Related Position Fixes”; IEEE Trans. Aerosp. Elect. Sys. 1990, 26, 748-753.##
[12]  Lee, H.; Kim, H.; Shim, J.; Heo, M. “Analytic Equivalence of Iterated TOA and TDOA Techniques under Structured Measurement Characteristics”; Multidim. Sys. Signal Proc. 2010, 22, 361-377.##
[13]  Torrieri, D. “Statistical Theory of Passive Location Systems”; IEEE Trans Aero. Elec. Sys. 1984, 20, 183-198.##
[14]  Sage, A.; Melsa, J. “Estimation Theory with Applications to Communications and Control. New York, 1971.##
[15]  Zhang, S.; Gao, S.; Wang, G.; Li Y. “Robust NLOS Error Mitigation Method for TOA-Based Localization Via Second-Order Cone Relaxation”; IEEE Commun. Lett. 2015, 19, 2210-2213.##
[16]  Kay, S. “Fundamentals of statistical signal processing”, Upper Saddle River: Prentice Hall PTR, 2017.##
[17]  Hamdollahzadeh, M.; Adelipour, S.; Behnia, F. ”Optimal Sensor Configuration for Two Dimensional Source Localization Based on TDOA/FDOA Measurements”;  17th Int. Radar Symp. 2016.##
[18]  Fletcher, R. ”Practical Methods of Optimization”; Chichester, Wiley, 2010##