A digital pre-distortion arrangement is disclosed. The arrangement comprises a respective filter bank for each of two or more initial signals to be amplified simultaneously by a non-linear power amplifier, N combiners, N pre-distorters and a multiplexer. Each respective filter bank comprises N interrelated filters. Multiplexed impulse responses of the interrelated filters define an overall filter function comprising a pass band associated with a transmission frequency of the initial signal. Each respective filter bank is configured to filter the respective initial signal in each of the interrelated filters to produce N digital filtered signals. The initial signal and each of the digital filtered signals have sample rate R. Each of the combiners is configured to combine corresponding digital filtered signals of each of the two or more initial signals to produce a composite digital signal having sample rate R. Each of the pre-distorters is configured to apply digital pre-distortion at a processing rate R to a respective one of the composite digital signals to produce a pre-distorted composite digital signal having sample rate R. The multiplexer is configured to multiplex the N pre-distorted composite digital signals to produce a pre-distorted digital signal having a sample rate N times R, wherein the pre-distorted digital signal comprises a signal component of each of the two or more initial signals and N times R is greater or equal to a total bandwidth comprising the transmission frequencies of the two or more initial signals. Corresponding method, transmitter and wireless communication device are also disclosed.