Abstract
Fourier synthesis is the act of building a complex waveform from simple sine waves. Fourier analysis, on the other hand, decomposes a complex waveform into simple sine waves. Both Fourier synthesis and analysis are powerful tools in many scientific and engineering fields, allowing one to understand waveforms of all types in terms of their frequency content. In this experiment, Fourier synthesis will be brought to life as an acoustic waveform is built by combining several harmonic waves. A keyboard will generate the waves, which will then be observed using a computer.
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