Systems and methods for digital predistortion (DPD) are disclosed herein. In an example embodiment, a digital front-end circuit includes a digital predistortion (DPD) block having a first input terminal and first output terminal, a PA having a second input terminal and second output terminal, and a transmitter coupling the first output terminal at least indirectly with the second input terminal. The DPD block is configured to receive a first input signal and to provide a first output signal having first and second components at the first output terminal. The DPD block includes a main distortion kernel that is configured to generate the first component, and a nonlinear memory kernel that is configured to generate the second component. The nonlinear memory kernel is configured to perform processing at least in part by a nonlinear envelope modulator including a linear finite impulse response (FIR) filter.