Feed array (3,44,45,54,55,113,202) for reflector antennas (4,5,100,200), wherein said feed array (3,44,45,54,55,113,202) is designed to be installed in a reflector antenna (4,5,100,200) provided with a single or dual reflector optics and includes: • a radiating array arranged in a focal region of the single/dual reflector optics and operable to transmit and receive radiofrequency signals; • digital beam forming means (32,33); • reception conversion means connected between the radiating array and the digital beam forming means and designed to - apply a frequency down-conversion and an analog-to-digital conversion to incoming radiofrequency signals received by the radiating array thereby obtaining incoming digital signals, and - provide the digital beam forming means with the incoming digital signals; and • transmission conversion means connected between the radiating array and the digital beam forming means and designed to - apply a digital-to-analog conversion and a frequency up-conversion to outgoing digital signals generated by the digital beam forming means thereby obtaining outgoing radiofrequency signals, and - provide the radiating array with the outgoing radiofrequency signals to be transmitted by said radiating array; characterized in that the digital beam forming means (32,33) are configured to: • process the incoming digital signals by using a reception matrix defined based on - a first matrix for beam pointing in reception and - a second matrix for compensating for errors in reception due to the single/dual reflector optics; and • generate the outgoing digital signals by using a transmission matrix defined based on - a third matrix for beam pointing in transmission and - a fourth matrix related to errors in transmission due to the single/dual reflector optics; wherein said second and fourth matrices are computed based on electric field values measured by the radiating array in the focal region. • a radiating array arranged in a focal region of the single/dual reflector optics and operable to transmit and receive radiofrequency signals; • digital beam forming means (32,33); • reception conversion means connected between the radiating array and the digital beam forming means and designed to - apply a frequency down-conversion and an analog-to-digital conversion to incoming radiofrequency signals received by the radiating array thereby obtaining incoming digital signals, and - provide the digital beam forming means with the incoming digital signals; and - apply a frequency down-conversion and an analog-to-digital conversion to incoming radiofrequency signals received by the radiating array thereby obtaining incoming digital signals, and - provide the digital beam forming means with the incoming digital signals; and • transmission conversion means connected between the radiating array and the digital beam forming means and designed to - apply a digital-to-analog conversion and a frequency up-conversion to outgoing digital signals generated by the digital beam forming means thereby obtaining outgoing radiofrequency signals, and - provide the radiating array with the outgoing radiofrequency signals to be transmitted by said radiating array; - apply a digital-to-analog conversion and a frequency up-conversion to outgoing digital signals generated by the digital beam forming means thereby obtaining outgoing radiofrequency signals, and - provide the radiating array with the outgoing radiofrequency signals to be transmitted by said radiating array; • process the incoming digital signals by using a reception matrix defined based on - a first matrix for beam pointing in reception and - a second matrix for compensating for errors in reception due to the single/dual reflector optics; and - a first matrix for beam pointing in reception and - a second matrix for compensating for errors in reception due to the single/dual reflector optics; and • generate the outgoing digital signals by using a transmission matrix defined based on - a third matrix for beam pointing in transmission and - a fourth matrix related to errors in transmission due to the single/dual reflector optics; wherein said second and fourth matrices are computed based on electric field values measured by the radiating array in the focal region. - a third matrix for beam pointing in transmission and - a fourth matrix related to errors in transmission due to the single/dual reflector optics;