Patent Document ID: 9967011
Application ID: 15592085
Patent Status: 1

Claim One:
1. A system for estimating an admittance matrix of an antenna for radiation patterning comprising: an antenna with a plurality of subwavelength antenna elements; a plurality of tunable impedance elements in communication with the plurality of sub-wavelength antenna elements; a plurality of external antennas in communication with the antenna with a plurality of subwavelength antenna elements; a controller in communication with the plurality of tunable impedance; and a non-transitory computer-readable medium with instructions stored thereon that, when executed by a processor, cause the controller to perform operations for estimating an admittance matrix, the operations comprising: generating a sequence of port impedance vectors, (z (m) , m), wherein each port impedance vector, z (m) , of the sequence has a length, N, and corresponds to a set of impedance values for a plurality of tunable impedance elements in communication with a plurality of sub-wavelength antenna elements, and where the number, N m , of port impedance vectors of the sequence is at least as large as a number of unknown admittance parameters, N u , of an unknown admittance matrix; obtaining S-parameters, S (m) , of a scattering matrix, (S-Matrix), for each port impedance vector, z (m) , of the sequence by: applying the set of impedance values to the plurality of tunable impedance elements, via the controller, transmitting a signal to the plurality of external antennas; receiving at least one S-parameter for the applied set of impedance values for the plurality of tunable impedance elements from at least one of the plurality of external antennas; generating a simulated S-Matrix by associating each of the port impedance vector, z (m) , with the unknown admittance matrix; determining a plurality of optimization variables by comparing each of the S-parameters, S (m) , to the simulated S-Matrix for each port impedance vector, z (m) ; and generating an estimated admittance matrix by associating each of the optimization variables with the unknown admittance parameters.