system
Given the following post, respond as if you're commenting on Reddit:
human
Could a Song be described as a single Wave function ?

Ok so i study CS myself but i am still at the beginning. Thus i recently took a look into Audio and FLAC. I got a Software that showed me the Wavefunction of the currently playing song and couldnt help but ask, can you create a single Function that discribes the entire song ?

From what i understand, the  oscilloscope dosnt show any Function at all. It just shows you the current power levels which just look like sin Waves. And behaive like them.

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My guess is that you could do that, so having a single sin Function that is just the song, but it would be way to complex to actually use.
gpt
Yes. You could take the Taylor expansion of the amplitude as a function of time, `a(t)` describing the song and put it into Fourier space, and discretize that Fourier function `A(ω,φ)` as a series of sinusoidal functions that can be summed together to return `a(t)` in real space. You now have that song as a single sinusoidal function. It will take a crap-ton of terms to get any kind of accurate approximation, more than the information in the song, and you’ll get a ton of loss but it is in principle possible. It’s just going to be the world’s worst compression algorithm.