I've used Fourier transform stuff for processing natural systems information, like satellite images and streamflow time series. But natural systems seem, to me, to be not regular enough. I'm interested to see what you will say about Shazam. And I wonder if you have done much with wavelets?
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I work a lot with digital signal processing as I develop navigation algorithms. Haven't used wavelets a lot yet, but I think there are few problems where I have yet to apply them