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ETP/GDOP behavior study for N-sensors arrays in a multilateration radar system

Iván Antonio Mantilla-Gaviria, Ruy Fernando Ruiz-Mojica, Juan Vicente Balbastre-Tejedor, Elías de los Reyes

Abstract - 453 | PDF (Español (España)) - 77


In this paper, we evaluated the ETP (Expected Theoretical Precision) and GDOP (Geometric Dilution Of Precision) enhancement related to the number of sensors in a Multilateration radar system. An introduction about the principles of the Multilateration radar system basis operation is described, then, the formulation for evaluation the ETP/GDOP of the 3D positioning is shown. We observed that the ETP and GDOP enhance with the increase of the number of sensors. A substantial improvement was obtained until nine sensors but, for more sensors that improvement is reduced. Results for a 75km×75km area are shown, including LAM (Local Area Multilateration) and WAM (Wide Area Multilateration) settings and different values of the aircraft height (5m for LAM surface, 5000m and 8000m for WAM). Additional parameters are shown in order to evaluate the system quality. These parameters are the Expected Theoretical Precision Gain (ETP Gain), Homogenization Level (HL) and Percentage Over a Reference Value (PORV). Due to the proportionality between the ETP and GDOP, only ETP results are shown. In the simulations the same settings of the sensors was used; 3ns for instrumental error and 27m for antenna height. These are typically values for real Multilateration radar system used for the air traffic control.


Expected Theoretical Precision, Geometric Dilution of Precision, Multilateration


D. J. Torrieri, “Statistical Theory of Passive Location Systems,” IEEE Transactions on Aerospace and Electronic System, vol. AES-20, pp. 183-198, March 1984.

N. Levanon, “Lowest GDOP in 2-D scenarios,” IEE Proc.-Radar, Sonar Navig., vol. 147, pp. 149-155, June 2000.

B. W. and P. J. J. Spilker, Global Positioning System: Theory and Applications vol. 1, 1996.

Y. E. Yang, J. Baldwin, and A. Smith, “Multilateration Tracking and Synchronization Over Wide Areas,” in IEEE Radar Conference Long Beach CA, 2002, pp. 419-424.

P. Bezousek and V. Schejbal, “Coherent Multilateration Systems,” in MRRS-2008 Kiev, Ukraine, September 22 - 24, 2008.

H. B. Lee, “Accuracy Limitations of Hyperbolic Multilateration System,” IEEE Trans. Aerosp. Electron. Syst., vol. AES-11, January 1975.

G. G. M. Gasbarra and M. Leonardi, “Multilateration Algorithms for Time of Arrival Estimation and Target Location in Airports,” in European Radar Conference Amsterdam, 2004.

H. B. Lee, “A novel procedure for assessing the accuracy of hyperbolic multilateration system,” IEEE Trans. Aerosp. Electron. Syst., vol. AES-11, January 1975.

I. A. Mantilla-Gaviria, R. F. Ruiz, and J. V. Balbastre-T, “Inner Report: Development of a Software to Calculate the Coverage and the Dilution of Precision for Radar Multilateration Systems, version 1.55,” Universidad Politécnica de Valencia and Indra Sistemas S.A., Valencia, Spain August 2008.

P. J. Martone and G. E. Tecker, “Candidate Requirements for Multilateration And ADS-B Systems To Serve As Alternatives To Secondary Radar.”

Y. T. Chan and K. C. Ho, “A Simple and Efficient Estimator for Hyperbolic Location,” IEEE Transaction on Signal Processing, vol. 42, August 1999.

W. Langhans, “Multilateration takes off in Europe,” EUROCONTROL Multilateration Task Force.

A. Mathias, M. Leonardi, and G. Galati, “An Efficient Multilateration Algorithm,” in ESAV’08, September 3 - 5, 2008.

G. Galati, M. Leonardi, and M. Tosti, “Multilateration (Local and Wide Area) as a distributed se nsor system: lower bounds of accuracy,” in 5th European Radar Conference, 2008.

G. Galati, M. Gasbarra, P. Magaò, P. D. Marco, L. Menè, and M. Pici, “New Approaches to Multilateration processing: analysis and field evaluation,” in 3rd European Radar Conference, 2006.

Abstract - 453 | PDF (Español (España)) - 77


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ISSN: 1692-1798 (impreso)
ISSN: 2393-3483 (en línea)