Discussion
A pre-envelope, or analytic signal, is constructed by
Answer: D
The construction is the signal plus \( j \) times its Hilbert transform, which cancels the negative-frequency half and leaves a complex signal whose magnitude is the envelope. Squaring and filtering is an envelope detector, which recovers the magnitude but not the analytic signal. Multiplying by a complex exponential shifts frequency, which is the next step towards a complex envelope rather than this one. And differentiation is unrelated.
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