Simple periodic signals can be combined to generate complex periodic signals if the time periods of the constituent signals satisfy certain criteria. In the process of Fourier synthesis, a periodic signal is generated by superimposing sinusoidal and cosinusoidal signals of specific frequencies.

The Fourier synthesis experiment is available on the FlexTrainer. To perform this experiment, connect the output channel-A of FlexTrainer to the oscilloscope for display of the signal that is constructed. Select Fourier synthesis as the current experiment on the FlexTrainer. Select a fundamental frequency and strengths of different harmonics (sinusoids and co-sinusoids) of the fundamental frequency.

In this experiment, students will construct different signals by combining sinusoids and cosinusoids of different frequencies; the frequencies will be integer multiple of a fundamental frequency. Since most of the signal strength is concentrated in the first ten harmonics therefore their selection significantly affects the display on the oscilloscope.