From: Thomas Jackson ([email protected])
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:[email protected]]
Sent: Friday, March 30, 2001 5:43 PM
To: Thomas Jackson; [email protected]
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 <[email protected]> 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 protected]]
> Sent: Friday, March 30, 2001 4:43 PM
> To: [email protected]
> 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.
> --- Heinz Blennemann <[email protected]> wrote:
> > tech/recruit/jobreq_optic
> > [email protected]
> > OPENING: Juniper Networks: Electrical/optical
> > signal-integrity engineer
> > POSITION:
> > The engineer would be responsible for technology
> > and signal integrity
> > for both electrical and optical
> > hardware/interfaces, including
> > providing design rules to meet high speed timing
> > and noise budgets
> > optical and electrical technology/component
> > selection
> > - understand the communication standards
> > spec's)
> > - drive technology issues necessary for
> > selecting electro-optical
> > transmitter/receiver modules (critical to
> > Juniper's router
> > interfaces)
> > - test and verify in lab
> > In the course of the project, to initially
> > the necessary analysis,
> > suggest and evaluate competing technologies. By
> > developing noise and
> > timing budgets, to propose routing rules. During
> > the design phase,
> > to run field solvers and SPICE to update the
> > budgets and the resulting
> > rules. Finally, in the lab, to perform
> > measurements using
> > high-speed scopes TDRs, and jitter analyzers to
> > verify operation
> > and to verify assumptions made in earlier parts
> > the design.
> > Separately, a position for an electrical signal
> > integrity engineer
> > is also available.
> > EXPERIENCE:
> > Requires
> > - BS in EE (MS or Ph.D. preferred)
> > - a solid understanding of circuits, analog
> > behavior, and
> > transmission line fundamentals, and optics
> > - demonstrated practical expertise in optical and
> > electrical
> > measurements/design and signal integrity,
> > in such areas as interconnect technolology,
> > packaging,
> > measurement techniques
> > - ideally, experience in high-speed system design
> > in communications
> > COMPANY DESCRIPTION
> > Juniper Networks Inc., is a leading provider of
> > next-generation Internet
> > infrastructure systems designed to meet the
> > scalability, performance,
> > density, and compatibility requirements of rapidly
> > evolving,
> > optically-enabled IP networks. The company's
> > purpose-built M160 Internet
> > backbone router uses JUNOS software, ASICs, and
> > wire-rate performance to
> > provide new Internet infrastructure solutions for
> > service providers. The
> > M160 router is used by some of the world's leading
> > service providers.
> > Juniper Networks service and manufacturing teams,
> > and Internet engineers
> > support the M160 router. The company is
> > headquartered in Sunnyvale,
> > California, with international offices in the UK,
> > Japan and The
> > Netherlands. For more information on Juniper
> > Networks, please visit the
> > Web site at http://www.juniper.net.
> > CONTACT INFORMATION
> > Please send resume to [email protected] .
> > **** To unsubscribe from si-list or
> > send e-mail to
> > [email protected] In the BODY of
> > put: UNSUBSCRIBE
> > si-list or UNSUBSCRIBE si-list-digest, for more
> > help, put HELP.
> > si-list archives are accessible at
> > http://www.qsl.net/wb6tpu
> > ****
> Do You Yahoo!?
> Get email at your own domain with Yahoo! Mail.
> **** To unsubscribe from si-list or si-list-digest:
> send e-mail to
> [email protected] In the BODY of message
> put: UNSUBSCRIBE
> si-list or UNSUBSCRIBE si-list-digest, for more
> help, put HELP.
> si-list archives are accessible at
> ATTACHMENT part 2 application/octet-stream
Do You Yahoo!?
Get email at your own domain with Yahoo! Mail.
**** To unsubscribe from si-list or si-list-digest: send e-mail to
[email protected] In the BODY of message put: UNSUBSCRIBE
si-list or UNSUBSCRIBE si-list-digest, for more help, put HELP.
si-list archives are accessible at http://www.qsl.net/wb6tpu
This archive was generated by hypermail 2b29 : Thu Jun 21 2001 - 10:11:23 PDT