Hi

> On Nov 1, 2014, at 5:09 PM, Dan Drown <[email protected]> wrote:
> 
> Ok, I hadn't considered rate of change.  

It’s one of the limits on this sort of thing in general. It’s even more of an 
issue with a coupled mode like the one you show. Since there are an enormous 
number of possible variables, it’s always tough to know exactly how much of an 
issue you will have.

One common answer - run your profile runs at the temperature change rate you 
are most likely to see in practice. 

Another very common answer - don’t use that crystal, get one that does not have 
the problem. You can get parts with slopes  <0.1 ppm / C  over 10 to 50 C. You 
might have to spend some quality time sorting them out ….

Bob

> This data is currently 3 day's worth and seems to repeat itself on both days 
> at the same temperature point.  Attached is a time based graph to show that.  
> The ppm axis (on the right) is inverted to make it easier to see the 
> relationship between the two.
> 
> 
> Quoting Bob Camp <[email protected]>:
>> Hi
>> 
>> This sort of thing is normally done with a precisely controlled temperature 
>> chamber and multi day temperature ramp runs. Even then there is a bit of 
>> “wonder what that was, let’s try it again”.
>> 
>> If you are looking at a crystal oscillator, what you have is a perturbation 
>> in the frequency / temperature curve. The response you get will be 
>> temperature rate of change dependent.
>> 
>> Bob
>> 
>>> On Nov 1, 2014, at 4:40 PM, Dan Drown <[email protected]> wrote:
>>> 
>>> I'm experimenting with using a temperature sensor to estimate local 
>>> oscillator frequency changes.  My goal is to have a decent holdover clock 
>>> for a NTP server with not so great GPS antenna placement.
>>> 
>>> I've been sampling temperature every minute, measured by a DS18B20.  I've 
>>> been measuring local clock frequency differences, using chronyd's logs from 
>>> the GPS's PPS.  At 28C through 21C, I get a pretty good result that fits a 
>>> quadratic polynomial decently (0.117 ppm stddev).  I've attached the graph 
>>> of that as "temp-clock-warmer.png".
>>> 
>>> With the colder temperatures, there's a sudden drop off in frequency that 
>>> I'm having a hard time finding a equation that fits as nicely.  All the 
>>> examples I can find on the web look like third degree polynomials, while my 
>>> data doesn't seem to fit that exactly.  The best result I've had so far 
>>> (0.198 ppm stddev) is attached as "temp-clock.png" and uses the function:
>>> 
>>> f(x) = -abs(a * (x - 20.88)) + b * ((x - 20.88)**2) + c * ((x - 20.88)**3)
>>> a = 0.888582
>>> b = 0.113806
>>> c = -0.00445763
>>> 
>>> Does anyone have any advice on how to better model this?  Has anyone seen 
>>> this behavior?
>>> 
>>> I can provide the raw data if that would help any.
>>> <temp-clock-warmer.png><temp-clock.png>_______________________________________________
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> 
> <temp-vs-clock.png>_______________________________________________
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