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Analyze of atmospheric filter adapted to range-Doppler coupling

Keywords:

M.A. Murzova – Post-graduate 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, Moscow Institute of Physics and Technology (State University); Head of Department, PJSC «Radiofizika» (Moscow) E-mail: vladeffar@mail.ru


In this paper, peculiarities of algorithms that are designed to track the re-entering space objects are studied. These space objects are detected by a chirp radar. Usage of linear frequency modulated signals results in so-called range-Doppler coupling, which yields a displacement of measured position from a true range of moving space objects. Therefore, it is necessary to synthesize Kalman filter, in which elements of the observation matrix and the error covariance matrix will include range-Doppler coupling coefficient. The syn-thesized Kalman filter is studied and its accuracy characteristics are analyzed in dependence on range-Doppler coupling coefficient and the filter\'s parameter. It is demonstrated that masking of incoming range measurements is available for some parameters of Kalman filter. In this case range estimation is calculated equal to extrapolated range estimation and filter is unstable. When unmasking of measurements is imposed steady-state Kalman filter is stable. The obtained results show that steady-state Kalman filter and Kalman filter is unstable around the masking point (i.e. where almost all incoming measurements are masked). It is determined that Kalman filter in steady - state is a filter with constant gain. Also the stability boundaries and the accuracy cha-racteristics of the algorithms estimating motion parameters of the reentering space objects were evaluated.
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