[email protected] wrote:

Perhaps I could implement an ISM band radio link for the purpose of locking the 
two oscillators.  Of course that wouldn't reach a couple miles either.

There appears to be some amount of talking past each other going on here.

First, I think you may have a fundamental misconception of phase locking as it applies in your proposed case. If there are two GPSDOs, the oscillators are *already* phase locked -- each one to the GPS network as received at its actual location. If you were to try to do some other phase-locking, at least one of them wouldn't be a GPSDO any more. (That may not be a bad thing, if common-view GPSDOs can't achieve the required accuracy.)

The two GPSDOs would, ideally, produce clock "ticks" identical to each other within picoseconds, which would be plenty sufficient for the vast majority of applications. Of course, there are inevitably various errors, so in reality we do not achieve the full theoretical precision of the system.

The largest contributors to the differential errors (i.e., the phase difference between the two oscillators) are (or should be) (i) mismatch in the cable delays due to differences between the lengths of the coax connecting each receiver to its antenna and/or the propagation velocities of the antenna cables (including the temperature coefficients of the cables), and (ii) differences in the GPS "solutions" in use at the two locations, which includes differences between the satellite constellations being used moment-to-moment by the two GPS receivers and the local reception conditions (quality of sky view, multipath, etc.).

Then there is (iii) the jitter of each GPSDO, which is not synchronous one to the other. This includes the ionospheric path distortion [maybe this should be its own item], the GPS receiver electronics, and the locked oscillators themselves (including noise on the EFC line and the different instabilities of the two OCXOs).

Item (i) cable delay differences due to the cable lengths and/or isothermal propagation velocities result in a static offset. Most timing-grade GPS receivers have a "cable length" setting that allows one to compensate for the cable delay (although that will not correct for the cable temperature coefficients). This is all avoided if you use integrated GPSDOs (GPSDO built into an antenna housing).

It may be possible to reduce item (iI) by operating the GPS receivers in "single satellite" mode, both looking at the same satellite. If long observations are required (such that the satellite in use must be changed during the measurements), this would become messy. The tradeoff in "single satellite" mode is that while you eliminate errors due to the different satellite constellations being used moment-to-moment by the two receivers, but the the RF path errors and noise may increase, giving back at least some of the gain.

To reduce item (iii) errors, use identical GPSDOs with the very best OCXOs available. You may need to select samples of the GPSDOs to minimize these errors.

All that will hopefully get you down to a differential phase of a few nS, at least for substantial stretches of time (using single-frequency receivers). Times of day with low ionospheric distortion will produce lower differential phase than times with higher ionospheric distortion.

If you need better differential phase than this, you may want to consider solutions like White Rabbit (note that there may be issues with portable-type [movable] applications).

Best regards,

Charles


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