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Coincidentally, I just had a talk with one of our principle developers about Fourier transforms. He's an audio expert and was trying to explain re-sampling and aliasing to me. I understand the high level steps, but the math is all a blur to me. Recently I've been trying to become much stronger in math, as I eventually want to study aerodynamics and astrophysics. So I've been studying calculus (textbook) and dynamics (edx) lately.

Concerning sampling and aliasing, you might find this video series from xipf interesting: http://www.xiph.org/video/

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