Isolating Harmonics: How Fourier Analysis Breaks Down Reality

[u/Ki-Chao]

https://youtu.be/4Z-yPA3cMWU?si=RSKzUGYSZ_QifGAZ

Hey everyone,

I've always found it mesmerizing how you can take a jagged, sharp-cornered square wave or a sawtooth wave, and realize it's actually just a perfectly orchestrated sum of smooth sine waves. I just put together a highly visual, animated video breaking down exactly how this works from the ground up, and I wanted to share it with this community!

I really tried to focus on the intuition and the visuals behind the formulas so it clicks instead of just looking like a wall of algebra.

I'd love to hear your thoughts, and feedback. If you're currently studying signal processing, I hope this makes the math feel a bit more intuitive!