Abstract: A complex waveform frequency matching device is disclosed. In various embodiments, the matching device comprises a plurality of radio frequency generators coupled in parallel with one another. Each subsequent one of the plurality of radio frequency generators is configured to produce a harmonic frequency related by an integral multiple to a frequency produced by any lower-frequency producing radio frequency generator, thereby generating a complex waveform. A plurality of frequency splitter circuits is coupled to an output of the plurality of radio frequency generators, and each of a plurality of matching networks has an input coupled to an output of one of the plurality of frequency splitter circuits and an output configured to be coupled to a plasma chamber.