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Here's one but with the Fourier transform settings a bit wonky

128,866 views • 2 years ago •via X (Twitter)

12 Comments

Sauers's profile picture
Sauers2 years ago

Uhhh so I eigendecomposed the connectivity of the human genome and it looks like this. What does this mean

Sauers's profile picture
Sauers2 years ago

There are many of instances of this pattern across different regions of the genome; it has these organized harmonic bursts. I don't know what they are but I'm currently converting the spectrogram into audio (will post video with sound when done)

Kashatorian's profile picture
Kashatorian2 years ago

Listening to this makes my brain tingle

Sauers's profile picture
Sauers2 years ago

Need to sample it

metasyntactic's profile picture
metasyntactic2 years ago

cool idea! made me think of bird chirpings at the beginning

Sauers's profile picture
Sauers2 years ago

Me too!

moderate rock's profile picture
moderate rock2 years ago

do a walsh-hadamard transform (QFT) on the data and see if it’s actually a spatial signal

Sauers's profile picture
Sauers2 years ago

I'll look into that, thanks for the idea

luke y.'s profile picture
luke y.2 years ago

kind of quiet until the firework sound at 42 seconds in

Sauers's profile picture
Sauers2 years ago

Lol I don't even see what is causing that on the image. Maybe it's an artifact

ignoramus's profile picture
ignoramus2 years ago

What the hell happened at 00:42?

Sauers's profile picture
Sauers2 years ago

I have the same question. It might be an artifact or maybe an outlier value idk

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The Fourier transform runs inside every MRI machine, every audio compressor, every signal processor on earth. JPMorgan pays $350K to engineers who can derive it from scratch. There is one professor alive who explains it the way nobody else can. His name is Gilbert Strang. MIT. The most brilliant mathematical mind of his generation. His textbook sits in over 10 million homes. No other person on earth holds this combination of depth and clarity in one head. He opens with one confession. The Fourier transform is unreasonably effective. It solves problems it was never designed for. The goal is not to compute it. The goal is to understand why it works at all. Then the core idea. A periodic signal breaks into pure sine waves. Each with a frequency, amplitude, and phase. The transform finds all three simultaneously. A complicated signal in time becomes a simple picture in frequency. Then 1807. Fourier invented the transform not for sound but for heat. How does warmth spread through a metal rod? In time the equation is a partial differential equation - hard. In frequency space it becomes ordinary - easy. Transform in, solve it, transform back. Then convolution. Convolution in time equals multiplication in frequency. Filtering a signal, removing noise, compressing audio - all multiplication in frequency space. Without the transform: thousands of computations. With it: a few multiplications. Then the delta function. Zero everywhere except one point where it is infinite. Integral equals one. Every mathematician in 1900 said it was not a function. Dirac used it anyway. It took 40 years to justify what engineers had been doing the whole time. Watch the moment Strang shows that the Fourier transform of a delta function is a constant - every frequency in equal measure. The more concentrated in time, the more spread in frequency. This is the uncertainty principle. Not quantum physics. A theorem about any signal at all. A signal processing engineer I know rewatched this before their first project at Apple. Said it was the first time the Fourier transform felt like a change of coordinates rather than a formula to memorize. Free on YouTube, MIT OpenCourseWare. bookmark this and watch later - after this lecture every sound, every image, and every signal will feel like a sum of sine waves waiting to be separated

Zyphor

123,759 views • 1 month ago