10 videos · 2 hr 50 minEverything Is Circles
HN keeps recommending the same handful of Fourier explainers, and together they cover a lot of engineering. This list starts with the intuition, follows the algorithm and its Cold War history, then visits the places it quietly runs: images, audio, radio and optics. It ends with the result that links it to quantum physics.
Play all on YouTube- 13:50
Ptolemy and Homer (Simpson)
Santiago Ginnobili · Picked by 3 · 2013–2022A three-minute hook: enough epicycles can trace Homer Simpson's face, which HN uses both to explain Fourier series and to warn about overfitting.
- 219:42
But what is the Fourier Transform? A visual introduction.
3Blue1Brown · Picked by 16 · 2018–2025HN's default first explanation, the one many commenters say finally made the transform make sense.
- 33:39
(1/4) Intro/History: Introducing a 100-year-old mechanical computer
engineerguy · Picked by 6 · 2015–2023Michelson's gear-driven harmonic analyzer computed Fourier series a century ago; the first of Bill Hammack's four short episodes.
- 428:23
The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
Reducible · Picked by 7 · 2021–2026Derives the FFT from polynomial multiplication; one commenter rewatches it every six months.
- 5
26:33The Most Underrated Algorithm
Veritasium · Picked by 5 · 2022–2024The FFT's backstory in nuclear test detection and Cold War politics, the human side of the algorithm from the video before.
- 6
15:12JPEG DCT, Discrete Cosine Transform (JPEG Pt2)- Computerphile
Computerphile · Picked by 6 · 2015–2026The first everyday use: the cosine transform inside every JPEG, explained clearly enough that several commenters say they finally understood the DCT.
- 7
23:53D/A and A/D | Digital Show and Tell (Monty Montgomery @ xiph.org)
FL Studio · Picked by 15 · 2017–2026Sampling and the frequency domain on real bench gear, the gold-standard answer HN gives to audiophile stair-step myths.
- 8
12:31The Superheterodyne Radio: No really, that's its name
Technology Connections · Picked by 3 · 2019–2024Radio's central trick, shifting signals between frequencies by mixing them, explained by Technology Connections in twelve minutes.
- 9
18:31Fourier Optics used for Optical Pattern Recognition
Huygens Optics · Picked by 5 · 2021–2025A plain lens computes a Fourier transform at the speed of light, shown with a DLP projector doing pattern recognition.
- 10
18:07The more general uncertainty principle, regarding Fourier transforms
3Blue1Brown · Picked by 7 · 2019–2025The closer: uncertainty is a property of waves, not of measurement, which ties everything above to quantum mechanics.