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Rich,
One can't assume that implementations are done such that the limits in
the spec are at the 3 sigma points with the mean about the middle.
Implementations won't necessarily be built to the average of the spec. For
instance, I've seen cases with past standards of interoperability problems where
one vendor chose to put their transmit level close to the minimum with tight
standard deviation (trying to optimize for emmissions, power consumption, etc.)
and another vendor put their input sensitivity near the maximum. Another
example is that sometimes one or more of the specs is particularly difficult to
achieve and designs have an average value that is very close to the
limit. A vendor may even take a yield hit and sort out those chips that are
over the limit so occurance at or near the limit value happens much
more often than 3 sigma would predict.
In the past standards I've worked on, we have usually assumed that
implementations could be running at the limits because we don't have a basis for
assuming a distribution. Where we have applied distribution, it has been to
channel characteristics for which we had some basis for believing there would be
a distribution - e.g. not all channels will have the worst crosstalk
situation.
Also, a typical backplane system will have a lot of links. If 90% of them
work, the system still has a problem. We have to do a good deal better than
that.
Pat From: Mellitz, Richard [mailto:richard.mellitz@INTEL.COM] Sent: Thursday, March 16, 2006 4:20 PM To: STDS-802-3-BLADE@listserv.ieee.org Subject: Re: [BP] Simulations for EIT Ya know… I just did a
statistical analysis of the probability of units failing the return we just
voted on. Under some assumptions I made, I came up with 2.5 units per 1000 would
fail RL and still pass. I heard folks thought this might be something like 90%.
The design question is what quality level is acceptable. I understand this
from a business perceptive because I can relate it to cost. I don’t know
how to apply this to standard work. Maybe it does mean all limits at the worst
case must work regardless of the likelihood. Maybe this is a Pandora’s Box too.
I think our cost is not dollars but delay producing a workable
standard. The 80% Joel was
talking about was design engineers. This is not the statistics of a design’s
quality. If I +/-3 sigma all our limits in the spec, I think we are more like in
the 99.9+% quality range right now. The task at hand was to
determine if the informative channel spec sufficiently predicted confidence
related to the EIT receiver test. That why we used the term “confidence” and not
“limit.” Remember that is why we chose the channel to be informative. We
showed we couldn’t constrain all 3 (tx, channel, rx) and create a reasonable and
marketable solution. So in light of that I believe we should constrain the
analysis to reasonable. Maybe we should do it both ways and discuss what is
reasonable at April 19 meeting. … Rich
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