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dkobe
modified 4 years ago

Fourier expansion demonstrator 10khz

2
2
62
00:48:45
This ckt demonstrates that adding sinewaves that are odd multiples (odd harmonics) of the fundamental sinewave will create a square wave. Closing the switches one at a time from left to right sums each harmonic with the fundamental and begins to form a square wave. To create a near perfect squarewave, add the odd harmonic frequencies that are 3x (3 times), 5x,7x, etc out to 27x the fundamental. Per Fourier, the relative peak amplitudes of each harmonic are 1/3, 1/5, 1/7 etc times the peak fundamental voltage. The more odd harmonics you add the ripples become smaller and smaller in amplitude and the rise and fall times become more vertical. Feel free to add more harmonics. Note: as you add more be sure the phase of all generators remain at 0°. Also, any periodic waveform can be created by adding even and/or odd harmonics at the proper Fourier amplitudes.
published 11 years ago
dkobe
11 years ago
The square wave generator is included as a reference.
warrigal
11 months ago
Thanks, I will explore and have fun with this!

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