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There are many explanations of the phase vocoder online, but they are either a bit light on the details "just unwrap the phase!" or using signal processing terminology and electrical diagrams (this tutorial being the most popular link apparently).

I am pretty comfortable with analysis and have a decent understanding of Fourier analysis. For instance I understand what the STFT is, and how to reconstruct a signal from it. I know the proof of the Nyquist-Shannon theorem, etc.

Could someone explain to me (or point me towards an explanation of) the phase vocoder in the language of analysis?

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