Diophantine Frequency Synthesizer Design for Timekeeping Systems
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| Diophantine Frequency Synthesizer Design for Timekeepi...Abstract Diophantine 
Frequency Synthesis (DFS), a number-theoretic approach to the design of very 
high resolution frequency synthesizers, was introduced in 2006.  |
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Discusses a diophantine synthesiser.Note Sotiriadis' work on diophantine 
numbers and frequency synthesis appears to be a rehash of an old Patent perhaps 
due to a lack of competent searching for prior art.This issue was discussed on 
the list some time ago,
Bruce
 

    On Friday, 29 July 2016 6:31 AM, Attila Kinali <att...@kinali.ch> wrote:
 

 On Fri, 22 Jul 2016 08:19:43 +0000 (UTC)
Bruce Griffiths <bruce.griffi...@xtra.co.nz> wrote:

> No, the first one merely uses a pair of cascaded heterodyne PLLs
> as shown on p3 of the manual.

Ok. I tried to understand how this circuit works. While I can see
how a small and precise frequency offset can be produced, I do not
see how a small phase offset with fixed frequency can be produced.
At least not at the 100fs resolution level they are claiming in
the manual. Would someone be so kind and explain the working
of the circuit?

> A diophantine setup may be useful here if one wished to construct something 
> similar.

What is a diophantine setup?


                Attila Kinali

-- 
It is upon moral qualities that a society is ultimately founded. All 
the prosperity and technological sophistication in the world is of no 
use without that foundation.
                -- Miss Matheson, The Diamond Age, Neil Stephenson
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