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Digital music and selfies: the legacy of Jean-Baptiste Joseph Fourier

Manuel Spagnolo on May 05, 2019

Jean-Baptiste Joseph Fourier is one of the most known mathematical personalities in history and with a good reason: he’s the father of Harmonic Ana...
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Sam Fisher

Cool! Can you cite some of your sources for the information in the article?

In particular, where did you read about Spotify’s streaming compression algorithm?

What do you suggest for more in depth reading on applications of harmonic analysis?

Thanks for a fun read!

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Manuel Spagnolo

Hey! First of all, thanks for reading :)

You can read about Spotify audio formats in their site, for example here.

As you can read, they are using the AAC format which uses Modified Discerte Cosine Transform, which is a sort of Fourier Transform under steroids. You can have a quick overview of how MDCT relates to Fourier Transform here.

For what about applications of Harmonic Analysis, I can suggest a book which I started reading back in my university days but I have never finished which is this.

As a rule of thumb, if you're not too much into mathematical details, going for resources for physicists or engineers is better: they tend to be more straight to the point and easier to approach. Having studied mathematics I shouldn't say so, but yeah, that's true :D

Hope I have helped a bit!

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Sam Fisher

Thanks Manuel! These are excellent,