An envelope behavioral model is developed and used in a system and method that simulates and predicts outputs of a non-linear component. An analyzer generates a test signal which is provided as input to the non-linear component. Model kernels representative of static and dynamic parts of the model are extracted from an output of the non-linear component responsive to the test signal. The dynamic part represents memory effects of the non-linear component. The model kernels are then used by a simulator to predict the output of the non-linear component responsive to signals of a modulation type.