Hi

> On Aug 18, 2016, at 12:59 AM, Charles Steinmetz <[email protected]> wrote:
> 
> Bob wrote:
> 
>> The point is still looking at the noise characteristics of the oscillator 
>> and the reference.
>> It is best done in the frequency domain as phase noise. We substitute ADEV, 
>> but that
>> is not an ideal proxy.
> 
> Phase noise and xDEV measure the same thing -- the stability of an oscillator 
> at different time scales.  They just express the result differently.  Phase 
> noise expresses it as PM in the frequency domain, and xDEV expresses it as 
> "parts per" in the time domain.  (Yes, this is a somewhat simplified view of 
> it, but it captures the essential point without undue complexity.)

ADEV is quite poor at frequency discrimination. That problem really nailed HP 
back in the 1970's. You will have a much easier time doing it with a FFT / 
frequency domain data set.


> 
> Conventionally, we switch from using PN to using xDEV at a time scale 
> (reciprocal frequency scale) of around 1 second, but there is no mathematical 
> reason why they both cannot be extended indefinitely in either direction.  
> The convention arose largely because the equipment and techniques we use[ed] 
> to quantify them have traditionally been different at time scales (reciprocal 
> frequency scales) greater than and less than about one second.  Now that we 
> are in the era of "digitize everything, and let Laplace sort it out," we 
> needn't view it as the rigid convention it once was.
> 
>> Either way you want the loop to cross over from one to the other
>> somewhere in the vicinity of the “equal noise” point if it exists. If there 
>> is no equal noise
>> point, that makes you wonder a bit about why you are locking one to the other
> 
> Not really, if one has lower noise at all time (frequency) scales, just lock 
> to that one at all scales.  (It may call into question why you're fiddling 
> with two oscillators, rather than just using the output of the quiet one, if 
> they are both at the same frequency -- but there are a number of reasons one 
> might want to do that.)

Thus no equal noise and the obvious question....

Bob

> 
> Best regards,
> 
> Charles
> 
> 
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