EEVblog Electronics Community Forum
Electronics => Projects, Designs, and Technical Stuff => Topic started by: @rt on October 31, 2015, 11:56:36 am
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Hi Guys :)
Could someone explain why there are two different circular animations about YouTube for Fourier Series Sawtooth animation?
Here’s one example where every second circle is rotating clockwise:
https://www.youtube.com/watch?v=pQprPuXhxKE (https://www.youtube.com/watch?v=pQprPuXhxKE)
Yet the Wikipedia example here is different:
https://www.youtube.com/watch?v=rt097WEL7EA (https://www.youtube.com/watch?v=rt097WEL7EA)
Wouldn’t these be two entirely different formulas?
At the very least I think theta would alternate positive and negative for the first example only.
I put this in projects section because it is a software project. I have been making my own.
Cheers, Brek.
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Probably, because cos(-x) = cos(x)? For even harmonics, the direction of rotation doesn't matter, because they always have the same vertical component relative to the rest.
Tim
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Lol can we forget the whole thing and make this thread go away? :D
There must be an issue with my rotation.
When I reproduce the second animation, as the iterations get near 200 or so,
the sawtooth becomes as good resolution as infinite is going to get on a limited resolution screen.
I can explain and fix the jittery points (it’s because I’m only connecting every third sample).
https://www.youtube.com/watch?v=DT66OE2JEpU (https://www.youtube.com/watch?v=DT66OE2JEpU)
When I reproduce the first one it’s great except there’s a little kink in the middle of the diagonal part of the wave.
That is not uploaded though... I’ll look into it again :O