Analysis of the Estimation Accuracy of Azimuth Systematic Errors for System of Radars

The problem of the azimuth systematic errors estimation is investigated in the case when there are a number of radars observing a moving aircraft. The errors can be identified processing the data recieved during some time interval. We consider the simplest variant when the aircraft motion is almost uniform and straight-line and its location is far from all radars. The linearization of the observation equations is reasonable under these assumptions and leads to a linear parameter estimation problem with the azimuth systematic errors as unknown parameters. An approach to analyse the estimation accuracy depending on the relative mutual location of the observation region and all radars is suggested. Some easy and natural conditions on the observation instants are elaborated. Under these conditions the covariation matrix has a simple form. We demonstrate that this form is useful also in the case when our conditions are fulfiled approximately only.

Keywords

parametric estimation, azimuth systematic error of radar, estimation accuracy, generalized least-squares method.

References

1. Bedin D.A. Identification of Azimuth Systematic Errors for Few Radars [Identifikatsiya sistematicheskih oshibok neskol'kih RLS po azimutu]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo [The Bulletin of Nizhniy Novgorod university named after N.I. Lobachevskiy], 2011, no. 4, part 2, pp. 147-148.
2. Stepanov O.A. Osnovy teorii otsenivaniya s prilozheniyami k zadacham obrabotki navigatsionnoy informatsii. Chast' 1. Vvedenie v teoriyu otsenivaniya [Estimation Theory Foudations with Applications on the Problems of Navigation Information Processing. Chapter 1. Introduction to Estimation Theory]. Saint Petersburg, Elektropribor, 2010.