An electronic device may include wireless circuitry with a processor that generates baseband signals, an upconversion circuit that upconverts the baseband signals to radio-frequency signals, a power amplifier, an antenna, and a transmit filter with a frequency dependent filter response coupled between the output of the power amplifier and the antenna. To help mitigate the frequency dependent filter response, the wireless circuitry may further include predistortion circuitry having an amplifier load response estimator that implements a baseband model of the filter response, an amplifier non-linearity estimator that models the non-linear behavior of the amplifier, and a control signal generator for adjusting the power amplifier based on the output of the amplifier load response estimator and the amplifier non-linearity estimator.