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Article #675Re: Hilbert Transform (?)
From: william burchill
Date: Wed, 09 Sep 1992 20:43
Date: Wed, 09 Sep 1992 20:43
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In article <dak.716052742@kaa> dak@kaa.informatik.rwth-aachen.de (David Kastrup) writes: >frandsen@seismo.CSS.GOV (Marvin Vaun Frandsen) writes: > >>I too am interested in info on the theory and practice of Hilbert >>transforms. I have seen contexts where the HT is used but would like >>to understand what it does, and why, better. > >>--Marv Frandsen frandsen@beno.css.gov > >>-- >>------------------------------------------------------------------- >> Marvin Vaun Frandsen frandsen@beno.css.gov >> >It shifts any frequency components by 90 degree of phase. >So if you have a clean sine signal of arbitrary phase, and add the >square of it to the square of the Hilbert transform, you get a >constant term with the mean energy of your original wave. They are useful for generating SSB (single side band) signals and also as a conceptual link between passband signals and their equiv- alent complex baseband representation. See "Communication Systems" by Simon Haykin, readable and aimed at undergrads.
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Newsgroups: comp.dsp Path: arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!wupost!gumby!destroyer!ubc-cs!fs1.ee.ubc.ca!williamb From: williamb@ee.ubc.ca (william burchill) Subject: Re: Hilbert Transform (?) Message-ID: <1992Sep9.204355.26599@ee.ubc.ca> Organization: University of BC, Electrical Engineering References: <LcVHqB1w165w@precipice.chi.il.us> <51199@seismo.CSS.GOV> <dak.716052742@kaa> Date: Wed, 9 Sep 1992 20:43:55 GMT Lines: 23