[time-nuts] Changing ADEV, (was Phase, One edge or two?)

Poul-Henning Kamp phk at phk.freebsd.dk
Sat Oct 25 03:39:16 EDT 2014

In message <544AD1D1.4040608 at rubidium.dyndns.org>, Magnus Danielson writes:

>A great way to illustrate the point of degrees of freedom and the number 
>of sample-points needed to get tight confidence intervals is to see how 
>the high-tau end of a curve updates in TimeLab and behaves as the 
>jiggeling end of a long rope, and as more samples comes in, the 
>jiggeling end moves towards higher taus, but for a particular tau, the 
>amplitude of the jiggeling decreases until it almost stops. This is the 
>effect of the confidence intervals becoming tighter, the range within 
>the real value is becomes smaller and eventually is very tight.

ADEV snakes about at the far right end primarily becuase of the
phase jitter which dominates at your minimum tau.

If you have a phase measurement white noise of 1 ns = ADEV(tau=1)
and you expect your ADEV curve to bottom out around 1e-12 at some
larger tau, then you have a factor thousand of noise to average
out, before a valid ADEV comes out of the noise.

This is not any different from any other "average out the noise"
situation in any significant way, sqrt(N) rules, and there is
nothing you can do about.

*except* to decrease your phase measurement white noise, which is
why tuning your 5370 for peak performance is worth days of measurements
at the other end of the ADEV.

Poul-Henning Kamp       | UNIX since Zilog Zeus 3.20
phk at FreeBSD.ORG         | TCP/IP since RFC 956
FreeBSD committer       | BSD since 4.3-tahoe    
Never attribute to malice what can adequately be explained by incompetence.

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