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Influence of range-Doppler coupling on the stability of αβγ-filter and Kalman filters

Keywords:

M.A. Trofimenko – Student, Moscow Institute of Physics and Technology (State University), Engineer, PJSC «Radiofizika» (Moscow). E-mail: mariya.trofimenko@phystech.edu V.E. Farber – Dr. Sc. (Eng.), Professor, Head of Department, PJSC «Radiofizika» (Moscow), Professor, Moscow Institute of Physics and Technology (State University). E-mail: vladeffar@mail.ru


In this paper, peculiarities of automatic range tracking of the space objects (SO) are studied. These SO are detected by chirp radar. Using linear frequency modulated (LFM) signals results in so-called range-Doppler coupling, which yields a displacement of measured position from a true range of moving SO. This effect may cause tracking failure therefore we present stability boundaries of the SO tracking. In addition, accuracy characteristics of the automatic range tracking algorithms estimating motion parameters on the extra-atmospheric flight segment are evaluated. Our study allows to determine the sign and value of the delay error to ensure the stability and accuracy of the automatic range tracking algorithms on the extra-atmospheric flight segment. The study results define relations between parameters of algorithms and delay error to provide steady tracking of SO. The delay error determines filter memory which defines a transition moment from sequence of probing signals to single LFM signals for probing space.
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