A multi-element array antenna system, comprising: a plurality of antenna elements, wherein the plurality of antenna elements comprises at least three antenna elements (204A, 204B, 204C); a beamforming network coupled to the plurality of antenna elements, the beamforming network comprising dual input ports comprising a first input port and a second input port; a first transmission element and a second transmission element, the first transmission element coupled to the beamforming network at the first input port and the second transmission element coupled to the beamforming network at the second input port, wherein the first transmission element and the second transmission element have respective transmit-path functionality and receive-path functionality; a calibration circuit comprising: a first sampling component electromagnetically coupled to the first transmission element and configured to sample a first transmit signal from the first transmission element; a second sampling component electromagnetically coupled to the second transmission element and configured to sample a second transmit signal from the second transmission element, wherein the calibration circuit is configured to generate an output signal based at least in part on the first transmit signal and the second transmit signal, wherein the output signal comprises information used to determine an amplitude offset and phase offset associated with the transmit-path functionality of the first transmission element and second transmission element; and a transmitting, receiving, and processing unit, wherein the transmitting, receiving, and processing unit is configured to determine, based on the output signal, a first amplitude setting and a first phase setting of the first transmit signal and a first amplitude setting and a first phase setting of the second transmit signal that produces a null voltage of the output signal. a plurality of antenna elements, wherein the plurality of antenna elements comprises at least three antenna elements (204A, 204B, 204C); a beamforming network coupled to the plurality of antenna elements, the beamforming network comprising dual input ports comprising a first input port and a second input port; a first transmission element and a second transmission element, the first transmission element coupled to the beamforming network at the first input port and the second transmission element coupled to the beamforming network at the second input port, wherein the first transmission element and the second transmission element have respective transmit-path functionality and receive-path functionality; a calibration circuit comprising: a first sampling component electromagnetically coupled to the first transmission element and configured to sample a first transmit signal from the first transmission element; a second sampling component electromagnetically coupled to the second transmission element and configured to sample a second transmit signal from the second transmission element, wherein the calibration circuit is configured to generate an output signal based at least in part on the first transmit signal and the second transmit signal, wherein the output signal comprises information used to determine an amplitude offset and phase offset associated with the transmit-path functionality of the first transmission element and second transmission element; and a first sampling component electromagnetically coupled to the first transmission element and configured to sample a first transmit signal from the first transmission element; a second sampling component electromagnetically coupled to the second transmission element and configured to sample a second transmit signal from the second transmission element, wherein the calibration circuit is configured to generate an output signal based at least in part on the first transmit signal and the second transmit signal, wherein the output signal comprises information used to determine an amplitude offset and phase offset associated with the transmit-path functionality of the first transmission element and second transmission element; and a transmitting, receiving, and processing unit, wherein the transmitting, receiving, and processing unit is configured to determine, based on the output signal, a first amplitude setting and a first phase setting of the first transmit signal and a first amplitude setting and a first phase setting of the second transmit signal that produces a null voltage of the output signal.