The 200-year-old mathematics behind half the internet

Discussing how Fourier Transforms - breaking up signals into individual waves - allows lossy compression of sound, images and movies like the one you are watching now!

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[2] Formula 1 Turkish GP 2021 (User: SAİT71)

[ImprobableMatter]

I’ve got time this month to do a quick livestream; let me know if there’s something you would like me to discuss.

[ducksies]

Fourier Transforms are extremely powerful. They singlehandedly transformed my GPA from a 4 to a 3.5

[Rosa-lvyw]

This video was absolutely incredible and informative. Even during the bits I already knew; especially the maths at the beginning and the fourier transform bit, I was still hooked. You've made a video that is educational and accessible to people of most skill levels, and you stuck on topic without any silly distractions. I love this.

[m.streicher]

I did poorly in high school math, the first 90 seconds of this video would've been huge for me..

[Emu]

Thanks for explaining this. I had heard of Fourier transforms with regards to compression, but never heard it explained as to what it actually did. Seems to be a running theme in your videos, explaining the middle steps in a process that most explanations gloss over. I really appreciate that, thanks again.

[artysanmobile]

Spectral editing has utterly transformed live music production for me. In live situations, bad stuff happens, thank you, audience. Being able to decompose the sound into crowd and musicians has saved many a live mix.

[sbwhddv]

FABULOUS presentation ! I have been studying audio engineering since 1978, at the cusp of the digital revolution. This is the most concise and cogent treatise on this subject I have ever seen. BRAVO!

[slightlytwistedagain]

As someone who has written music and played with synths in digital audio workstations, this is an excellent video showing the science behind the magic. You didn't outright say it, but you pretty much described interpolation and do a much better job explaining the magic sauce (getting the computer to calculate with frequency and amplitude) than any audio site or wikipedia I've read.

[ConradPino]

I see a red door and I want it painted black.

[Zibonnn]

I must say, this video deserves more recognition than it currently has. I thoroughly enjoyed watching it and gaining a clear understanding of how things work. If my teacher had been as skilled as you and if I had been exposed to such visual-aided education earlier, I might have pursued a career in STEM.

[middleclassthrash]

They should hire this guy to instantly improve the world's education system. All the context and visuals he provides. Amazing work.

[t-housetv]

This video is very well done. Full of information, compact, and straight to the point. Subscribed.

[phillipneal]

Excellent ! Thank you. Loved the opening riff from "Paint it Black"

[Rhino_Aus]

A perfectly simplified explanation of the Fourier transform and its applications!

[louco]

Mind Blowing, learned so much! Thank you so much for making these videos. This is one of the best channels on YouTube!

[MrRyyi]

As a beginner music producer, I am so happy to have viewed this video. I did not expect it from the title and thumbnail, so it was like finding gold unexpectedly. Thank you for this hugely informative video that taught me several things I hadn't thought of before.

Have a good day :)

[lelsewherelelsewhere]

Very well explained! Direct, illustrated well, great examples, fast enough but not too fast, builds on itself, great video indeed! Going to try to teach my family with this!

[ARandomTroll]

I love how you explain very advanced subjects in a way that is understandable to a layman without losing sight of the technical complexities that matter.
Also, audio spectrum apps are really useful. want to know how fast a fan is spinning? frequency/ number of blades. What's that weird noise keeping me awake at night? 50Hz... probably something electrical. etc.

[RyanMcGuinness]

This is the clearest explanation of Fourier transforms I've ever seen.
I've done 11 years of high school and college mathematics and it wasn't until this video that it just clicked!

[amazing]

This was my high-school science fair project, but I didn't have a computer or the Cooley-Tukey FFT. They rediscovered it about 1965! Anyway, I decomposed sounds into sets of sines by using pins pushed onto graph paper through a photograph of an oscilloscope trace. Calculated the FT by hand, using an adding machine and a slide rule. The original work on the FFT was done in 1805 by Carl Friedrich Gauss.