Applied Physics and Mathematics Annotation << Back IRRADIATOR TRACK BUILDING ON DOPPLER’S SHIFT DYNAMICS A.A. MOISEEV Track building of mobile irradiator based on Doppler shift dynamics. This building is performed using reckoning method on speed components formed by means of Doppler’s dynamics recalculation taking into account radio ray polarization. Speed components confront with different basis functions. Considered bases include: - sinusoidal; - discrete of Walsh; - piecewise-exponential; - piecewise-power; - based on Chebyshev polynomial. In course of numerical experiment compared effectiveness of decomposition based on different bases for track building and kinematic characteristics estimation. Was determined that sinusoidal and piecewise-power approximations are preferable because of their continuity. Simple discontinuity of the Walsh and piecewise-exponential functions leads to parasite contour’s shift and polynomial basis is unavailable for tracks building but can be used for diameter estimation of controllable zone. Keywords: Doppler’s shift, irradiator track, reckoning, elliptical polarization, bearing line, directional cosines, basis, approximation, relay, elevation, band-pass filtering, forcing element, median filter, least square method, Chebyshev polynomial, Walsh functions. DOI: 10.25791/pfi m.06.2023.1280 Pp. 16-21.