A method, system and apparatus for modelling a power amplifier and pre-distorter fed by one of a wideband signal and an intra-band carrier aggregated signal are disclosed. According to one aspect, a method includes receiving the one of the wideband signal and the intra-band carrier aggregated signal and generating a discrete base band equivalent, BBE, Volterra series based on the received signal, where the series has distortion products grouped according to determined shared kernels. The shared kernels are determined based on a transformation of a real-valued continuous-time pass band Volterra series without pruning of kernels.