Sine Wave to Square Wave using Fourier Series

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Sorry for not putting up something....logical in such a long time. life is so busy I don't always feel like talking about school. Hope you enjoy!

Channel: Howto & Style
Uploaded: February 3, 2007 at 12:46 pm
Author: Russoft

Length: 0:01:02
Rating: 4.56
Views: 10,251

Tags: fourier series sine cosine square wave summation sound 60Hz approximation university of alberta engineering electrical

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Video Comments:
mherzl (Friday 31st of October 2008 12:25:08 PM)
This is amazing. Thank you.
schizoflux (Sunday 26th of October 2008 07:27:40 PM)
n=10 or what have we, a sine becomes a square? Due to the overlapping harmonics right? What about a sawtooth?
Amishman35 (Monday 28th of July 2008 02:53:52 AM)
I will always keep my mind closed that home-schooled children are the bratty near-dumb ones.
Amishman35 (Tuesday 17th of June 2008 03:43:14 AM)
Think you haven't heard a square wave in a while? Listen to your NES, Gameboy Color, or Atari 2600. And 60 hertz is the mains frequency in the USA. If you use a shortwave radio, you can pick up the 100,000th harmonic on it if there's a cable modem nearby and you tune to 6 Mhz.
en14vn (Tuesday 13th of May 2008 05:11:54 PM)
when n approaches infinity, the wave become a square wave?
Russoft (Tuesday 13th of May 2008 06:23:51 PM)
not really, but almost. There will be odd spikes at the top and bottom of the vertical sections. You can see the pattern as n increases.
hboy007 (Friday 11th of July 2008 08:24:34 AM)
(The spikes are called Gibbs Phenomenon)
daboos86 (Friday 9th of May 2008 05:20:07 AM)
oh...now i understand :X thanks a lot. I'm studying this for my sound tech exam this gives me a good understanding of square waves and harmonics :D
beranharp (Saturday 10th of November 2007 02:24:01 PM)
this video is awesome, especially when heard through headphones, just make sure the volume isn't up too loud. But hey, if it is, maybe it will do something good to your head. One suggestion I would make for improvement is to go from sine to square wave and then go backwards to sine wave again. This truly shows the intellectual potential of Youtube though. Thanks!
pilopiloCH (Friday 12th of October 2007 03:37:53 AM)
i've just done that OUCH too thanks for the suggest lol