Angular Superresolution of the Antenna-Array Signals Using the Root Method of Minimum Polynomial of the Correlation Matrix

Abstract

We propose a new variant of the superresolution method of minimum polynomial of the correlation matrix for estimating the number and angular coordinates of the closely located sources of the signals recorded by the antenna array. The method ensures the direction finding of the sources by determining roots of the denominator of the pseudospectral function (the root method). Special attention is paid to the cases of strongly correlated signal sources and a short sample of the input process when the number of samples is smaller than that of array elements. The efficiencies of the angular superresolution for the root and spectral variants of the method of minimum polynomial, as well as the root MUSIC (MUltiple SIgnal Classification) method are compared.