[time-nuts] GPS discipline oscillator vs phase lock
Charles Steinmetz
csteinmetz at yandex.com
Sat Jun 17 03:57:02 UTC 2017
life-speed at yahoo.com 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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