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Izvestiya SFedU
Engineering sciences
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ISSN 1999-9429 print
ISSN 2311-3103 online
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  • DETERMINATION OF THE COORDINATES OF RADIATION SOURCES IN PASSIVE RADARS BY THE AMPLITUDE METHOD

    V.D. Syten'kij, I.I. Markovich, Е. Е. Zavtur
    2021-04-04
    Abstract ▼

    An amplitude method for determining the radiation sources coordinates in passive radar is
    considered. An algorithm for calculating the coordinates of radiation sources in the passive mode
    of radar stations based on the reception of electromagnetic oscillations regularly damped in space
    by antennas in a collinear arrangement is synthesized. The mathematical relationships necessary
    to determine the coordinates of the target are obtained by solving the corresponding triangles
    formed by the antenna bases and the target. This made it possible to determine the location of the
    radiation source (target) by the point of intersection of the hyperbolas with the foci at the locations
    of the receiving antennas. Analytical expressions are given for determining the coordinates
    of targets in Cartesian and polar coordinate systems. The error analysis of the proposed algorithm
    was carried out taking into account the method of indirect measurements. The case of uniform
    distribution of noise over space, additively related to the signal and uncorrelated with it, is investigated.
    The formula for the root-mean-square deviation of the target range is obtained. The results
    of calculations of estimates of the absolute errors in determining the location of the radiation
    source, which depend on its location on the plane and show that the absolute error in determining
    the location of the radiation source, is minimal near the origin and increases with distance from it,
    are presented. Synthesized and investigated algorithm, due to the simplicity of the hardware implementation,
    can be used in passive location systems both independently and in addition to the
    widely used differential rangefinder method based on measuring the mutual time delays of the
    received signals.

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