On 11/04/14 21:38, Chris Albertson wrote:
Look at what NTP does to select "good" clocks when it has many to choose
from.   It does not simply average them.

It looks at the noise in each one and then sees which clocks have
overlapping error bars.  It assumes that all good clocks have the same time
within limits of their precision.   Then from the good clocks there is a
second level weeding out process then finally it does a weighted average of
the remainders where I think those with less jitter get more weight.

It would not be impossible to do this with 10MHz oscillators.   Certainly a
simple average is not a good idea as a broken unit can pull the entire
average way down.  I think you'd have to check reasonableness first and
eliminate outliers   I think today you might simply digitize the signals
and figure out which were best using software.

In short the output is "ensemble time" (not "average time") but there is a
careful selection of who is allowed to be  member of the ensemble.

NTP uses the ensamble clock style that Dave Allan developed for the NBS AT time-scale and originally programmed on a PDP-7. Applying this type of phase-comparison, estimate stability, weighing and updating ensamble stability should indeed be possible to do. You need three or more clocks, but one of these can be the GPS when you have it.

Jim Gray pointed out that it is important to watch your data. At NBS/NIST they started to see some 1/f⁴ noise on one of their standards. They could not figure it out. Turned out that the cleaning-lady was pushing the standard over the floor once a week in order to clean under it. This systematic "noise" where not in their standard model, but they learned.

A frequency jump on the crystal oscillator in a control-loop will be tracked in eventually, so it will look more like a phase-spike than a frequency jump. Atomic clock FLLs will however not track in the full phase difference, at least not guaranteed to do.

I used a joke last week to explain to a class why we don't use averages,
with no other qualifications.  The joke is "Bill Gates walks into a bar....
  What's the average net worth of everyone in the bar?  Maybe $250 million."

My point was that it is hard to describe a population that is not Gaussian
distributed.  "Stuck" and jumping crystals are not Gaussian.  You'd have to
detect the misbehaving devices.

Indeed.

Cheers,
Magnus
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