The functions described in this section compute a discrete-time analytic signal from a real data sequence using the Hilbert transform. The analytic signal is a complex signal whose real part is a replica of the original data, and imaginary part contains the Hilbert transform. That is, the imaginary part is a version of the original real data with a 90 degrees phase shift. The Hilbert transformed data have the same amplitude and frequency content as the original real data, plus the additional phase information.
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