HN Hall of Fame Weekly email

Fourier transform – A math tool used in optics, MP3s, JPEGs and more (2013)

Screenshot of nautil.us captured 2026-07-20
Page preview · captured 2026-07-20

Resurfaced independently across 3 calendar years, with breakout response in 2 of them.

submissions
3
submitters
3
observed span
2013–2017
peak thread · 100 comments
417 pts
latest 20+ return · 2017-04-11
417 pts

Submission timeline

2007–2026

One slot for every year since HN launched. Height is that year's peak points; orange marks a 100+ point or 50+ comment breakout. Select a bar to open its strongest thread.

First comments on top threads

HN comment order

If you want to see how the Fourier series work with sound and oscillators, I made a cool interactive visualization here: http://bgrawi.com/Fourier-Visualizations/

diger44·417-point thread·

This is a great post, but it's a little bit misleading when talking about MP3s and lossy compression and conflates analog fourier analysis with discrete analysis. When you're talking about a digital signal, it is the sample rate that determines the maximum frequency you can represent. It's not MP3s that "throw out the really high notes" -- it's any digital signal. A discrete fourier transform actually is lossless, but it is bandwidth limited. The reason audiophiles prefer Flac to MP3s…

aliston·356-point thread·

Previous discussion: https://news.ycombinator.com/item?id=6683866

The first top-level comment from each of the four biggest threads, in HN’s own order. Excerpts are shortened; open a comment for full context.

Breakout years
2

100+ points or 50+ comments

Total points
774

reference only — not used in Hall rules or ranking

Total comments
184

reference only — not used in Hall rules or ranking

Every submission

DateTitle as submittedByPointsComments
2013-11-06Fourier Transforms – The Math Trick Behind MP3s, JPEGs, and Homer Simpson’s FaceFirst breakoutaatish356100
2016-07-06The Math Trick Behind MP3s, JPEGs, and Homer Simpson’s Faceuyoakaoma11
2017-04-11Fourier transform – A math tool used in optics, MP3s, JPEGs and more (2013)Best thread · Latest 20+ point returnsigna1141783