🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.electronics
Article #10328

Re: A question about the Nyquist theorm

#10328
From: Hunting the Snark
Date: Thu, 21 Feb 1991 15:09
34 lines
2321 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.  

Wrong answer. The answer to the question posed is that you are sampling a DC
signal. if it was N/2 then the sign of the samples would alternate. The only
time you can't distinguish DC and N/2 is when you just happen to sample at the
zero crossings of the N/2 frequency signal. 

The way to get around this degenerate case is to random sample with an
_average_ sample rate of N samples per second. Actually, you do not even need
to be randomly sampling, you could for instance instead of sampling with a 50%
duty cycle you could use a 25% duty cycle and still meet the Nyquist criteria.



               />                                             
  (           //------------------------------------------------------------(
 (*)OXOXOXOXO(*>=S=T=O=R=M=B=R=I=N=G=E=R--------                             \
  (           \\--------------------------------------------------------------)
               \>                                        Steven Marshall

"Hard to say Ma'am. I think my cerebellum just fused" -- Calvin
Technical Details
Message-ID: <20408@shlump.nac.dec.com>
Path: arc1-ca.pugleaf.net!utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!swrinde!elroy.jpl.nasa.gov!decwrl!pa.dec.com!shlump.nac.dec.com!elric.dec.com!marshall

Show Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!swrinde!elroy.jpl.nasa.gov!decwrl!pa.dec.com!shlump.nac.dec.com!elric.dec.com!marshall
From: marshall@elric.dec.com (Hunting the Snark)
Newsgroups: sci.electronics,sci.physics
Subject: Re: A question about the Nyquist theorm
Message-ID: <20408@shlump.nac.dec.com>
Date: 21 Feb 91 15:09:49 GMT
Sender: newsdaemon@shlump.nac.dec.com
Followup-To: sci.electronics
Organization: Digital Equipment Corporation
Lines: 34