Does the accuracy of the frequency increase with time? Is that observable from the measurements in DIAG:LOOP?
I was thinking that if I am only going to use this thing to calibrate my other instruments (frequency counter and function generator) I do not need to leave it on for long periods of time however if it benefits from staying on for long periods then I should also make it serve NTP to increase its usefulness.
Accuracy is a bit of a slippery concept when applied to GPSDOs. Assuming that it's working correctly, the average output frequency of a GPSDO doesn't change. However, it will wander around a little since GPS has to deal with path-length variations due to the ionosphere. The main purpose of the OCXO is to act as a flywheel to filter out the wander.
If you look here:
http://www.leapsecond.com/pages/gpsdo/ , particularly the last graph, you'll see performance graphs for 4 GPSDOs. Notice the 'hump' in the graphs that have the dots. These humps show the crossover between the performance of the OCXO and the GPS system. It's a balancing act between short-term GPS noise and long-term OCXO aging. Most commercial GPSDOs have to take a middle-ground, 'good enough' path and the hump is the typical result. Some commercial GPSDOs actually do some autotunig to adapt to the oscillator's performance. If you look here:
http://www.leapsecond.com/pages/tbolt-tc/ , you'll see a discussion about tuning a Trimble Thunderbolt to match the performance of the OCXO in that particular unit. The results are impressive.
The performance of a good quality OCXO will improve if it's allowed to run continuously. Aging in particular will drop. This would allow for a longer time constant in your control loop and therefore, a lower, longer flatter portion of the AlDev curve before it hits the sloped GPS performance line. Proper tuning will minimize or eliminate any hump.
But does this matter? If you look back to the performance graph for the 4 GPSDOs, they're all around 1e-12 @ 1 sec. which is a common measurement interval. You'll have to decide whether improvements at 10, 100, or 1000 seconds are useful to you. I just measured the frequency of my Z3801A GPSDO. With a one second gate time, I'm seeing a Standard Deviation of about 200 - 300 uHz. A 10 second gate time drops that to less than 50 uHz. My counter is a Fluke PM6681. My Efratom FRT Rb standard is the external reference. These numbers are not as good as the ones shown in the graph. Each OCXO has its own unique performance level. The OCXO in my Z3801A might not be as good as the one shown in the graphs.
As for the DIAG:LOOP parameters, there isn't really enough info to say much about them. Watch and record them. See how they change as the unit runs for days or weeks. Do they wander up and down? Do they slowly stabilize? I would expect frequency offset to wander because the OCXO will continuously flywheel to buffer the wander from GPS. There will always be an offset that varies up and down. But if that 'TC' parameter stands for 'Time Constant', you might see it slowly increase as the OCXO settles down. That would show you that your GPSDO is doing some autotuning.
Ed