A method for improving cross-polarization discrimination in a dual-polarized antenna array that includes antenna elements, each including at least two feeding ports to excite the antenna element with mutually independent signals having respective complex amplitudes. The method includes: determining, for each feeding port and antenna element, an electromagnetic far field resulting from excitation of the antenna by the feeding port as field components corresponding to two orthogonal linear polarizations and selecting the handedness of a desired circular polarization in the far field; determining, based on a predetermined relationship between the field components corresponding to the two orthogonal linear polarizations and on the desired circular polarization in the far field, a ratio between the complex amplitudes of excitation of the feeding ports of each antenna element, the ratio being associated with an increased cross-polarization discrimination; and exciting the antenna elements with signals having complex amplitudes in the determined ratio.