Bill wrote:

1. The difficulty with disciplining a local oscillator to a GPS signal
is due to variations in the received GPS signal and the LO.

I'm not sure I'd call that "the difficulty" -- it is the task of a GPSDO to discipline the local oscillator *at time scales where the GPS is better than the oscillator*. The oscillator wanders, and the GPS signal has noise and jitter. The oscillator controls stability at small to medium tau, so improvements there require a better oscillator (nothing you do on the GPS side is going to improve overall stability below tau = 100 seconds or so). If you have an exceptionally stable oscillator, this will be true out to tau = 1000 or even beyond.

3. The gain of the system, in degrees of phase angle at 10 MHz (or
higher) per microvolt of control signal, is fairly constant in a
controlled environment.

The gain function is a free parameter -- it can have pretty much any characteristic you desire, if you are sufficiently creative to realize it. In practice, of course, it will be constrained by the criteria for stability.

4. The power supply for the device providing the control signal cannot
be regulated to the accuracy required of the system, and so is a source
of variance.

The control amplifier should have considerable PSRR, so this should not be a material source of error. The reference for any DAC in the system may contribute error. But that is all inside the control loop, which is driven by a phase comparator of one sort or another. Ultimately, the errors in the inputs (oscillator and GPS) and the phase comparator should dominate the overall performance (if not, you have left something on the table).

5. The principle source of environmental variation is temperature.
Humidity and barometric pressure are not significant. This may not be
true of the received GPS signal due to atmospheric variations.

You will have to test the parts you propose to use to see if they are affected by humidity or barometric pressure. Some researchers have reported sensitivity to one or both for crystal oscillators and voltage references, among other parts. Except for the oscillator, GPS, and phase comparator, that is all inside the control loop.

Best regards,

Charles



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