Geodesic
Estimation of Vector Field of Systematic Errors of Radars Based on Multi-Tracking Data
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 1, pp. 5-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of identification of systematic errors of several radars based on multi-tracking data from moving objects (aircrafts) is considered. In case the model of spatial dependence of systematic errors is not completely known the identification leads to an ill-posed estimation problem. The author suggests an approach which provides a good estimate under these conditions. The basis of the approach is the local approximation of the unknown systematic errors as a function of geometric position. Position space is divided into the system of sufficiently small parts. In each part the vector of the local value of the systematic errors is estimated. Due to the ill-posedness of the problem only an uncertainty set can be identified; this set contains all possible vectors that can provide identical measurements. These uncertainty sets can be considered as a multivalued function of geometric position. Then the selection of a single-valued function of systematic errors out of a multivalued function is done on the basis of criterion the minimization of which enables to define the most “flat” function. The algorithm was tested on real trajectory tracking data.
Keywords: statistic estimation; systematic error; radar. 
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D. A. Bedin. Estimation of Vector Field of Systematic Errors of Radars Based on Multi-Tracking Data. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 1, pp. 5-15. http://geodesic.mathdoc.fr/item/VYURU_2014_7_1_a0/

[1] Bedin D. A., Fedotov A. A., Belyakov A. V., Strokov K. S., “Identification of Azimuth Systematic Errors for Few Radars”, The Bulletin of Nizhniy Novgorod University Named by N. I. Lobachevskiy, 2011, no. 4(2), 147–148

[2] Bedin D. A., “Algorithm of Identification of Radar Azimuth Systematic Errors Based on Kalman Filtration”, XVIII Saint-Petersburg International Conference on Integrated Navigation Systems (Saint-Petersburg, 2011), 202–204

[3] J. J. Renes, P. v.d. Kraan, C. Eymann, “Flightpath Reconstruction and Systematic Radar Error Estimation from Multi-Radar Range-Azimuth Measurements”, Proceedings of the IEEE Conference on Decision and Control, 24:1 (1985), 1282–1285 | DOI

[4] Kirsanov A. P., “Estimating Systematic Errors in the Mobile Radar Using Simultaneous Measurement of the Coordinates of Aerial Objects by Two Radar”, Radioengineering, 2011, no. 8, 105–110

[5] Katkovnik V. Ya., Nonparametric Identification and Data Smoothing: Method of Local Approximation, Glavnaya redaktsiya fiziko-matematicheskoy literatury, M., 1985, 336 pp. | MR | Zbl