3 ms·

The 2-minute brute-force explanation of Fourier transforms in a recent Veritasium video was my "aha!" moment. https://www.youtube.com/watch?v=nmgFG7PUHfo&t=464

• photochemsyn 4y ago
  For an additional video exposition, I also like Eugene Khutoryansky's "Fourier Transform, Fourier Series, and frequency spectrum" https://www.youtube.com/watch?v=r18Gi8lSkfM https://www.youtube.com/watch?v=r18Gi8lSkfM In particular, the visualization of the addition of sine waves of different frequencies in three dimensions is pretty spectacular. It's similar to Mathologer's "Epicycles, complex Fourier series and Homer Simpson's orbit": https://www.youtube.com/watch?v=qS4H6PEcCCA https://www.youtube.com/watch?v=qS4H6PEcCCA
• SnooSux 4y ago
  I have a Bachelors and Master's in Electrical Engineering and do some signal and image processing as part of my job. I've been working with FFTs since undergrad and I thought a good understanding of what it does and how it works. But that Veritasium video helped me put all the pieces together in a way that made things click. The famous 3Blue1Brown video is also very strong and maybe explains why complex numbers are used better. Of course both videos leave stuff out in the interest of time but they should both be part of a signal processing curriculum.
• SJSque 4y ago
  I can also highly recommend 3Blue1Brown's treatment of the topic: https://www.youtube.com/watch?v=spUNpyF58BY https://www.youtube.com/watch?v=spUNpyF58BY (...which I see now is cited in the video that you link to!)
• djmips 4y ago
  You might also enjoy this Engineering Guy video playlist on how a mechanical harmonic analyzer works. https://youtube.com/playlist?list=PL0INsTTU1k2UYO9Mck-i5HNqGNW5AeEwq https://youtube.com/playlist?list=PL0INsTTU1k2UYO9Mck-i5HNqG...