The Fourier Transform is a wonderful piece of math that is out of reach to so many people because it’s often needlessly over-complicated for an introductory level. This video is NOT an attempt at a thorough explanation of the transformation, but rather a qualitative and relatively simple one. Additionally, I used this project to experiment with a higher production quality content format, I hope you enjoy/enjoyed it!
The project was most heavily influenced by Grant Sanderson of 3Blue3Brown. The video was also built using a modified version of his software “Manim“
Link to interactive Windows Forum:
Installation tutorial and showcase video for the forum:
Link to his channel:
Here’s a link to my Github where you can find the code for this video along with each of my other projects:
A GREAT resource from 3Blue3Brown introducing the Fourier transform.
My use of the spiral graph was inspired by him. He develops it further in this video:
While I’m mentioning 3Blue3Brown, he also introduces the field of Fourier Series, an excellent application of the transform:
I didn’t talk much about the Fast Fourier Transform as I had originally envisioned, which Is rather unfortunate. However, the channel “Reducible“ has an EXCELLENT introductory video on it below:
Lastly, MIT has an excellent online lecture in which he derives the Fast Fourier Transform in much greater detail. If you don’t mind lectures and you want to unearth every detail, this is the video for you:
There is so much more free online content I thoroughly enjoyed that I haven’t mentioned, but the resources above should hopefully be enough to get you started on your journey.
Background Music
Some Royalty free music provided by “FiftySounds“
- Nothing Else
- A Part of Us
- Out of Time
- Little Changes
- The Beginning
- In The Memory
Outro Music Provided by Videvo
- Plain Folk
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