### The method of determining the coordinates of the radio source

**Published:**02.12.2013

**Authors:** Greshilov A.A.

**Published in issue: **#12(24)/2013

**DOI: **10.18698/2308-6033-2013-12-1156

**Category:** Applied Mathematics

The article describes a method for determining coordinates of the radio source when receiving a signal from a radio radiation source (SRE) using a nonlinear (including annular) antenna system (AS), an arbitrary shape consisting of poorly directed and directional elements (vibrators), and other methods of determining direction, for example, based on the Doppler effect, radio imaging, and others. Multistage registration systems as featured on the ground, on aircraft are used. Improved the accuracy and reduced the time to determine the origin of the radio source are achieved by use, an universal formula describing the complex envelope outputs of the AS, which allows to obtain explicit expressions for calculating the amplitude and initial phase of the bearing signals. The collected values of bearings from different devices detect the signal of SRE using the methods of confluent analysis, obtained equations of the lines in the plane and in space, the intersection of which determines the coordinates of the point estimates of the radiation source. For estimates of bearings and coordinates the radiation source is obtained, covariance matrix scattering estimates is obtained from an ellipse or ellipsoid scattering unknown quantities.