A Magic Trick
This was news to me. It is well known that any periodic waveform can be represented by an infinite sum of harmonic sine waves. What about making a sine wave from an infinite sum of harmonic square waves?
Blasphemy
Each step in the animation doubles the number of square wave “harmonics” included to approach a pure sine wave. Ignore the numbers in the lower left hand corner despite the attention this sentence draws to them.
I take no credit for the math. I just wrote a GNU octave script to generate the plots based on an equation from http://www.dspdimension.com/
July 29th, 2010 at 6:36 am
that’s really cool, didn’t know that one.