Divergence elimination of the extended Kalman filter for target tracking due to Pulse-Doppler radar measurements

Authors

DOI:

https://doi.org/10.20535/RADAP.2012.48.66-74

Keywords:

target tracking, pulse-doppler radar, extended Kalman filter, divergence

Abstract

Extended Kalman filter for target tracking due to Pulse-Doppler radar measurements is often divergent, which is caused by the presence of unaccounted errors which appear in the result of the equation of the range rate measurement linearization. In the article a simple way of the extended Kalman filter divergence elimination is suggested and consists in the variance of value measurement error increase by an amount proportional to the value extrapolation error variance. The coefficient of proportionality is determined by means of statistical modeling by testing the statistical hypothesis of Gaussian distribution of the errors of estimation of the target’s parameters vector. The suggested method analysis is carried out as an example of target tracking due to Pulse-Doppler radar measurements in the Cartesian coordinates using the statistical modeling.

Author Biographies

O. S. Neuimin, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Неуймін О.С., аспірант радіотехнічного факультету

S. Ya. Zhuk, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Жук С.Я., д.т.н., проф. кафедри радіотехнічних пристроїв та систем

References

Duan Z. Sequential Nonlinear Tracking Filter with Range-rate easurements in Spherical Coordinates / Zhansheng Duan, Chongzhao Han, X. Rong Li // IEEE Trans. Aerospace and Electronic Systems.— 2007.— Vol. 43.— no.1.— pp. 239-250.

Жук С.Я. Адаптивная фильтрация параметров движения маневрирующего объекта в прямоугольной системе координат / С.Я. Жук, В.И. Кожешкурт, В.В. Юзефович // Реєстрація, зберігання і обробка даних.— 2009.— Т.11.— No2.— С.12— 24.

Сейдж Э. Теория оценивания и ее применение в связи и управлении / Э. Сейдж, Дж. Мелс / Пер. с англ. / Под ред. проф. Б. Р. Левина. — М.: Связь, 1976.— 496 с.

Информационные технологии в радиотехнических системах : учеб. пособие для вузов / [Васин В.А., Власов И.Б., Егоров Ю.М. и др.]; под ред. И.Б. Федоров.— М.: Издво МГТУ им. Н.Э. Баумана, 2003.— 671 с. — ISBN 5-7038-2263-7.

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How to Cite

Неуймін, О. and Жук, С. (2012) “Divergence elimination of the extended Kalman filter for target tracking due to Pulse-Doppler radar measurements”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(48), pp. 66-74. doi: 10.20535/RADAP.2012.48.66-74.

Issue

No. 48 (2012)

Section

Telecommunication, navigation, radar systems, radiooptics and electroacoustics

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