Patent ID: 8190109

Claim:
A wireless communications system comprising: an antenna; a control system that calculates, in real-time, values of tuning elements to match an input impedance of the antenna to an output impedance of a transmitter system, wherein the control system comprises: a controller configured to execute code that calculates values of the input impedance; and a non-linear optimizer that converges to an actual value of the input impedance of the antenna by calculating solutions to first and second non-linear equations; wherein the first non-linear equation is expressed as: Γ in = S 11 - S 12 ⁢ S 21 ⁢ Γ A 1 - S 22 ⁢ Γ A wherein Γ in is the reflection coefficient of the antenna seen into the matching network, Γ A is the reflection coefficient of the antenna; S 11 is the input reflection coefficient of a 50 ohm terminated output; S 21 is the forward transmission coefficient of a 50 ohm terminated output; S 12 is the reverse transmission coefficient of a 50 ohm terminated input; and S 22 is the output reflection coefficient of a 50 ohm terminated input; and a matching network that is tunable by the control system through the calculated values of the tuning elements to match the input impedance of the antenna to the output impedance of the transmitter system.