I agree with David. Also, the article in Wikipedia [1]is better and it
shows the Gaussian response (~0.34/tr), the 1-pole low-pass RC filter
response (~0.35/tr), and others for using 10-90% rise/fall time. Most ICs
are specified for 20-80% rise/fall time so a conversion to 10-90% is needed;
conversion factors for various responses are in Howard Johnson and Martin
Graham's first book, table B.1. They also make a convincing argument that
Gaussian is the response that should be used most of the time.
Dennis
On 11/7/2018 8:22 AM, David Banas wrote:
Gosh, Mark, I have to take exception to your description of this article as
“well written”. It seems to be full of mistakes, syntactical,
conceptual,and structural. I’ve included some examples below, moving
through the article from beginning to end. Regards, -db In Par. 1: -
“maximum” -> “minimum” - Use of the verbiage, “-3dB bandwidth,”
indicates an incomplete conceptual understanding of the relationship between
system bandwidth and rise-time. A clearer understanding of this relationship
would’ve been indicated by the use of, “bandwidth,” alone. In Par. 2:
-Sentence 1 implies an assumption that the signal starts from zero, as
opposed to some Vmin. Certainly forgivable, but, again, indicative of an
incomplete conceptual understanding. - The language in the rest of this
paragraph, along with the poorly labeled figures, is too inexact for an
engineering article. For example: - Sentence 2 should be stricken. - The
final clause of sentence 3 is both unnecessary and incorrect. (By making the
unfortunate choice of a high-pass filter as his example, the author has
inadvertently depicted a case of infinite bandwidth.) - Fig. 1 shows a step
response, not an impulse response, as claimed in the accompanying verbiage.
-Several unfortunate word choices convey an incomplete understanding.
Examples: - “of” -> “to” in figure captions. - “response of a
signal” -> “response of a system”. In Eq. 1: - The equation is
incomplete, as the frequency units have been given, but not the time units.
In “How does the relationship arise?”: - The author is being extremely
misleading in Par. 1, by insinuating that Fourier and/or Gaussian analysis
produce “errors”. It would be more correct to note that these different
methods of relating rise time to bandwidth produce different outcomes. If
anything, Gaussian analysis should be used as the normative reference, since
it carries the full force and authority of the Central Limit Theorem behind
it. In Eq. 10: - This equation is inconsistent with itself. The “1” in
the fraction should be “0.1”. - In the immediately following sentence,
the parenthetical text is misleading and incorrect. In the paragraph
following Eq. 12: - “power…absorbed by the reactive element…” - No!
Power is never absorbed by a purely reactive element. The power is absorbed
by the resistor. The two equations (and accompanying verbiage) following Eq.
16 never should’ve made it past the technical editor. When this line of
reasoning culminates with, “Note that the imaginary…because phase has no
relevance…,” there can be no doubt left that the author has only a
marginal understanding of the physics he’s describing. Following Eq. 18
theauthor begins, “Alternatively, the above analysis could easily be
achieved…” Right! So, why not strip out all of the ridiculously
convoluted stuff you wrote above and just leave us with this nice short
concise explanation?! One final nit: to write such an article without even
making mention of the beautifully symmetric nature of the Gaussian Fourier
transform pair, and the resulting ease that symmetry lends to establishing
the relationship between system bandwidth and rise-time, is suspect. To fail
to note that the Gaussian approach carries behind it the full weight and
authority of the Central Limit Theorem is criminal. On Nov 6, 2018, at 5:26
PM, Mark Marlett <***@gmail.com>[2] wrote: Hermann, A good
derivation and history of the rise time to BW is given in this well written
article reference below.
https://interferencetechnology.com/rise-time-vs-bandwidth-and
-applications/[3]I hope this reference helps. Best Regards, Mark Marlett
(Sr.Principal System Engineer - Inphi Corporation) On Thu, Nov 1, 2018 at
10:21 AM Hermann Ruckerbauer <***@eyeknowhow.de[4]> wrote:
Hello experts, since a long time i struggled with a question and always was
afraid to ask ... I see always Rise/fall time as relevant parameter in specs
or for Bandwidth calculation. But I would expect, that the real relevant
parameter would be dV/dt, so the slewrate. e. g. for a signal with 100ps
Risetime and 1000mV Swing (just talk about 0-100% to simplify discussion) I
get a much steeper slope with higher dV/dt vs. a Signal with 100ps risetime
and 100mV swing. Therefore I would assume the signal with 1V swing to have
higher frequency components vs. the Signal with 100mV swing .. but the
risetime is the same... Can anybody enlighten me, where my mistake is in
looking to this topic ? Thanks a lot .. Hermann -- Our next events (contact
us for details): Seminar: Open the Black Box of Memory October 24/25 in
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(SignalIntegrityJournal) EKH - EyeKnowHow Signal Quality - Made in Bavaria
Hermann Ruckerbauer www.EyeKnowHow.de[5]
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Tel.: +49 (0)991 / 29 69 29 05 Mobile: +49 (0)176 / 787 787 77 Fax: +49
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