A disclosed radio frequency (RF) system, such as a cognitive radar, includes a software defined radio (SDR), an adaptive transmit amplifier, and a host computer. The system performs optimization operations including selecting an initial impedance as a load impedance for the RF device and iteratively performing image completion operations until a convergence criterion is satisfied. The image completion operations may include measuring a performance of the RF device to obtain a measured performance corresponding to the load impedance, storing the measured performance as a point on a measured load-pull contour image, performing a load-pull extrapolation to extrapolate, from the load impedance, a predicted optimal impedance, and saving the predicted impedance as the load impedance for a next iteration of the image completion operations. The convergence criterion may be satisfied when a predicted impedance matches one of the previously measured impedances.