This machine is based on the device presented by engineerguy : https://www.youtube.com/watch?v=NAsM30MAHLg&list=PL0INsTTU1k2UYO9Mck-i5HNqGNW5AeEwq
This machine helps you to draw signals from basic sine waves ( sin(x) to sin(5x) ), using Fourier series principle, though infinite sine waves would have to be generated for such a perfect machine.
If you want to make your own :
The lasercut plans are available on Thingiverse : https://www.thingiverse.com/thing:3918377
The assembly instructions are on Instructables : https://www.instructables.com/id/Harmonic-Analyzer-Mechanical-Lasercut-Signal-Plott/