Adaptation of Antenna Arrays with Using Correlation Matrices of a Special Types

To reduce the computational complexity of direct methods for adapting linear equidistant antenna arrays, the correlation matrices of the input signals were approximated by matrices of a special type related to Toeplitz and block-Toeplitz matrices. It is shown that the sample correlation matrices used in adaptation, due to the use of samples of limited length in their estimation, do not belong to matrices of a special type and can be approximated by them with limited accuracy. The accuracy of such an estimation is estimated and the simulation of direct methods using the MATLAB environment is carried out, on the basis of which recommendations are given on the use of direct methods for adapting antenna arrays.