DETERMINATION OF THE COORDINATES OF RADIATION SOURCES IN PASSIVE RADARS BY THE AMPLITUDE METHOD

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.