This invention relates to a method and apparatus for reducing adjacent channel power in wireless communication systems. More particularly, the present invention is directed to a system for digitally and adaptively pre-distorting (in 112) a signal that includes applying a correction to the signal before it is applied to the input of an amplifier (16) such that the correction is equal and opposite to anticipated distortion produced by the amplifier. Thus, the correction and the amplifier distortion cancel one another resulting in a system with an overall linear transfer characteristic. In these circumstances, the adjacent channel power is desirably reduced.