A high power amplifier system includes an on-line adaptive predistorter for generating predistorted complex data signals to a high power amplifier in response to receiving incoming complex data signals from a remote source. The predistorted complex data signals enable the high powered amplifier to output signals corresponding to the incoming complex data signals. The amplifier system includes an off-line adaptive predistorter which has an adaptive parametric forward filter for combining predistorted complex data signals and demodulated complex data signals, produced from the output of the high power amplifier, to produce an optimized forward amplitude filter that emulates the forward amplitude response of the amplifier, and an optimized inverse phase filter that emulates the inverse phase response of the amplifier. An adaptive parametric inverse filter combines random amplitude data and the optimized forward amplitude filter of the amplifier to produce an optimized inverse amplitude filter that emulates the inverse amplitude response of the amplifier. An off-line to on-line converter combines the optimized inverse amplitude filter, the optimized inverse phase filter and exemplary complex data to produce the predistorted complex data utilized by the on-line adaptive predistorter for generating the predistorted complex data signals.