System and method for obtaining far field radiated power with multiple radiated power measurements in middle field range

A test system for testing an antenna array of a device under test (DUT), the antenna array comprising a plurality of antenna elements, the test system comprising:

• a probe antenna positioned in a middle field of the antenna array, wherein the middle field includes a distance between the probe antenna and the antenna array that satisfies near field criteria for the antenna array and also satisfies far field criteria for each antenna element of the plurality of antenna elements in the antenna array;
• at least one component configured to at least one of transmit radio frequency (RF) signals to the device under test or receive radio frequency (RF) signals transmitted from the device under test via the antenna array;
• a memory device that stores instructions that, when executed, determine an antenna pattern located in a far field of the antenna array and
• a processor programmed to:
• measure, as a first measurement using the probe antenna, an antenna pattern of the antenna array at a first position relative to the antenna array, the first position being located at a first distance from the antenna array in the middle field of the antenna array;
• measure, as a second measurement using the probe antenna, the antenna pattern of the antenna array at a second position relative to the antenna array, the second position being located at a second distance from the antenna array in the middle field of the antenna array;
• and
• determine, based on the first measurement at the first position in the middle field and based on the second measurement at the second position in the middle field, the antenna pattern at a third position relative to the antenna array located in the far field.