Article View: sci.electronics
Article #10327Re: A question about the Nyquist theorm
From: ben a green
Date: Thu, 21 Feb 1991 14:54
Date: Thu, 21 Feb 1991 14:54
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1890 bytes
In article <4402@eastapps.East.Sun.COM> gsteckel@vergil.East.Sun.COM (Geoff Steckel - Sun BOS Hardware CONTRACTOR) writes:
In article <883@idacrd.UUCP> mac@idacrd.UUCP (Robert McGwier) writes:
From article <6607@healey>, by grayt@Software.Mitel.COM (Tom Gray):
> The shape of the wave is preserved within the sampling pulse. This
> information allows representation of a signal at exactly 1/2
> the Nyquist freqency.
I pose the following question. Suppose you are sampling at rate N samples
per second, and you see a constant value V for your A/D sample. Is the
frequency of the signal which produced those samples 0 or N/2? Since
AARRGGGHHH! The Nyquist criterion requires that sampling be GREATER
THAN the highest frequency of interest. Note also that the amplitude
response near Fs/2 rolls off towards 0 (sin X / X response).
Furthermore, the claim that "the shape of the wave is preserved within the
smpling pulse" would imply that an analytic signal could be reproduced
entirely from ONE sample, since all the derivatives of the signal are
available in the sample. Can't believe Nyquist said that.
--
Ben A. Green, Jr.
greenba@crd.ge.com
Speaking only for myself, of course.
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Path: arc1-ca.pugleaf.net!utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!usc!zaphod.mps.ohio-state.edu!rpi!crdgw1!greenba From: greenba@gambia.crd.ge.com (ben a green) Newsgroups: sci.electronics Subject: Re: A question about the Nyquist theorm Message-ID: <GREENBA.91Feb21095446@gambia.crd.ge.com> Date: 21 Feb 91 14:54:46 GMT References: <6607@healey> <883@idacrd.UUCP> <4402@eastapps.East.Sun.COM> Sender: news@crdgw1.crd.ge.com Followup-To: sci.electronics Distribution: na Organization: GE Corporate Research & Development Lines: 24 In-reply-to: gsteckel@vergil.East.Sun.COM's message of 20 Feb 91 23:56:43 GMT