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I have been studying various engineering concepts, trying to get a better intuitive understanding of them. Today I was reading about fourier transforms and came across this article. There is an animation at the end that is really neat.

http://betterexplained.com/articles/an-i...transform/
Here is a link to an old but good introduction to Fourier Transform windows:
http://www.utdallas.edu/~cpb021000/EE%20...indows.pdf