Abstract: A four-channel multifunction digital frequency synthesizer which uses direct numerical synthesis to generate one or more complex output signals having selectable frequency, phase offset, amplitude level and waveform is provided. A waveform synthesizer digitally synthesizes precise sine, square, triangle, ramp, uniform and Gaussian noise and DC waveforms which can be selected for any of the four channels. One of the four channels can be frequency, phase and amplitude modulated by the signals on the remaining three channels in any combination. The four channels are time-multiplexed which allows the use of a single frequency synthesizer to realize four independent channels and a large number of support functions and capabilities in a high-density VLSI integrated circuit on a single chip. The synthesizer system can provide up to four independent output signals which can be any one of the four channel signals, or any combination of the four channel signals summed to form a complex waveform signal.