INVESTIGATION OF CAPON’S ALGORITHM IN THE TASKS OF DETECTING SOURCES
The task of the direction-finding of sources with the aid of the simplest antenna array (AR) is examined. Both the usual amplitude methods and the methods of the high resolution, based at the analysis of the covariance matrix of data, removed with AR adapt for the solution of this problem. One of such methods is the method of Capon, which has a number of advantages over amplitude methods. As a result studies of the work of Capon’s algorithm with real data and data, obtained with the aid of the computer simulation, was explained that the algorithm works excellently with some configurations of the coordinates of sources, but it does not work completely with others, or it passes interferences with large power. Work gives the mathematical developments, which help to separate “good” configurations of coordinates from “the poor”. These mathematical developments widely use an apparatus of linear algebra. Keywords: direction-finding, antenna array, covariance matrix, Capon’s algorithm, sources, the vector of search, signal space, noise space, local maximum, the linearly independent vectors, independent noise. The task of the direction-finding of sources with the aid of the simplest antenna array (AR) is examined. Both the usual amplitude methods and the methods of the high resolution, based at the analysis of the covariance matrix of data, removed with AR adapt for the solution of this problem. One of such methods is the method of Capon, which has a number of advantages over amplitude methods. As a result studies of the work of Capon’s algorithm with real data and data, obtained with the aid of the computer simulation, was explained that the algorithm works excellently with some configurations of the coordinates of sources, but it does not work completely with others, or it passes interferences with large power. Work gives the mathematical developments, which help to separate “good” configurations of coordinates from “the poor”. These mathematical developments widely use an apparatus of linear algebra.