[time-nuts] generalization of three cornered hat

[Tom Van Baak]

Jim,

With N oscillators involved: look for papers about clock ensembles and 
time scale algorithms.

The 3 corner hat method, where you create a fictitious mean of 3 clocks 
and then compute the deviation of each real clock from the virtual mean, 
is just like a simple unweighted 3-clock time scale. And that can be 
extended far beyond N=3. For example, think of how most national time 
labs handle their many Cs clocks, or how UTC itself is computed.

Note that when you consider transitive measurement noise, you may find 
that making N simultaneous measurements against a single independent LO 
is simpler and better than making N(N-1)/2 measurements of all possible 
clock pairs. Think of star vs. ring vs. mesh networks.

/tvb


On 6/15/2019 3:54 PM, jimlux wrote:
> I found a lot of references to estimating the uncertainties in 
> measurements derived with three cornered hat.   What about for 
> arbitrary N sources and N(N-1)/2 pair-wise measurements?  There must 
> be some magic term to search for.
>
>
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