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fractional FT is the uncertainty principle then? you can know position locally, or momentum locally, or you can know them both blurrily with a rotated basis in between


Yes, but that's because the momentum is the fourier transform of the position and vice versa

So there's an uncertainty principle for signal processing, entirely because of the fourier transform and not because of quantum mechanics

See this video https://www.youtube.com/watch?v=MBnnXbOM5S4




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