Antenna assembly with a dielectric resonator antenna array

An antenna assembly having a dielectric resonator antenna array system;

• the dielectric resonator antenna array system comprising:
• a first array of a plurality of dielectric resonator antennas arranged in a first orientation on a ground metallic sheet disposed on a dielectric substrate and configured to form a first beam;
• a second array of a plurality of dielectric resonator antennas arranged in a second orientation, different from the first orientation, and configured to form a second beam;
• and
• circuitry configured to
• receive detected beam shapes and corresponding excitation phases and amplitudes,
• store an association between the detected beam shapes and the corresponding excitation phases and amplitudes in a look-up table, and
• retrieve from the look-up table information associated with the excitation phases in response to determining that one or more beams overlaps.