From: Thomas Jackson (email@example.com)
Date: Mon Apr 02 2001 - 08:37:44 PDT
Fourier analysis shows that anything like a square-wave, trapezoidal-wave,
triangular-wave, sawtooth-wave, etc. has frequency components going up to
infinity. Therefore, these signals are not band-limited.
The only kinds of signals that can be recovered from discrete samples are
those that can be constructed from a band-limited set of sinusoids.
Luckily, these include or approximate many useful real-world signals. The
highest frequency one of these is a sinewave at 1/2 the sampling rate.
From: AA [mailto:firstname.lastname@example.org]
Sent: Friday, March 30, 2001 5:43 PM
To: Thomas Jackson; email@example.com
Subject: RE: [SI-LIST] : Nyquist Sampling Rate
Thanks for the feedback. I know that the sampling
rate has to be at least twice that hight frequency
component in the signal. I.e to recover a 60 HZ
sinwave it needed to be sampled by 120sample/sec min.
How do we know a sine wave produced these samples not
a triangulare wave or other periodic wave form.
--- Thomas Jackson <firstname.lastname@example.org> wrote:
> The sampling theorem assumes that you are sampling a
> band-limited signal.
> Therefore, the highest possible frequency signal
> through any two points
> would be a sinewave at 1/2 the sampling rate.
> Anything else would have
> frequency components above the Nyquist rate and that
> violates the first
> By the way, it should be obvious that the two
> samples cannot occur at the
> zero crossings.
> Thomas L. Jackson, P.E.
> Staff VLSI Design Engineer
> Network Access Development
> Systems Solutions Group
> FUJITSU MICROELECTRONICS, INC.
> 3545 North First Street
> San Jose, CA 95134-1804
> telephone: (408) 922-9574
> facsimile: (408) 922-9618
> -----Original Message-----
> From: AA [mailto:email@example.com]
> Sent: Friday, March 30, 2001 4:43 PM
> To: firstname.lastname@example.org
> Subject: [SI-LIST] : Nyquest Sampling Rate
> DEAR SI list subscribers,
> Can any one explain to me how you can recover a
> periodic signal form only 2 samples. I can
> the math but I am having difficulty visualizing
> Draw me any 2 points in the time domain and I can
> endless number of periodic signal go through them?
> I know I am missing a key point but I can quite put
> finger on it.
> Your input is very well appreciated.
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> > tech/recruit/jobreq_optic
> > si-list@silab.Eng.Sun.COM
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