Some recapitulation.
Aviation
In AM aviation, single channel (25 kHz) operation is possible with
several transmitters having an offset. AM avaition uses the trick that
when the offset is large enough, carrier beat frequency is well above
the 3 kHz audio band and is blocked by the audio band pass filter.
The goal of the system is that you never receive two transmitters within
a channel that are on the same frequency. With a two carrier system (+
7.3 kHz and - 7.3 kHz offset), audio quality is perfect as also the side
bands do not generate products that fall within the audio band.
In a 4 carrier system -7.5, -2.5 + 2.5 and 7.5 kHz offset are used. So
the carrier beat is minimum 5 kHz, but the side bands generate in band
audio products.
In another posting a gave a 900 km/h example when one tranmitter is
ahead, one is behind. In that case you have twice the doppler shift. For
VHF air band this will be 200 Hz, but for UHF this will be 600 Hz. As in
the pre-GPS era frequency stability was a concern, carrier beat may be
close to the audio band because of both frequency stability and doppler
shift.
Doppler shift [Hz] = (carrier frequency [Hz])*(velocity [m/s])/C0
C0 = 3e8 m/s (speed of light).
During frequency planning, (for example) a 4 carrier system, planning
would be such that you will not hear two adjacent frequencies with same
strength as in that case intelligibility is significantly reduced. I ran
some simulation for 5 kHz offset and it is really full of "new"
products. 10 kHz offset gives clean audio output.
Amateur
The RX/TX coversity amateur systems in PA country:
PI2NON (430.275 MHz, north-east part of PA), first simple implementation
around 2006/7
PI3UTR (145.575 MHz, almost nation wide), can be reached from UK
PI2NOS (430.125 MHz, almost nation wide), can be reached from UK
Frequencies are slaved to GPS (GPSDO). So on average frequency is the
same for all transmitters in one system, but of course there will be
some phase jitter. Modulation is delayed such that in the overlapping
areas there is minimum timing error (in the tens of us). RX and TX are
coupled via the internet or hamnet.
Each audio packet that is sent to all transmitters has a time stamp
laying in the future. It is stored and transmitter at GPS derived time.
Of course, group delay and devation of the transmitters must be matched
as good as possible.
As far as I know, they do not use carrier offset (anymore). You will
have some reduction in intelligibility when you are in an area where you
receive signals from two transmitters. I had distortion in reception on
the PI3UTR system some years ago, but with reorienting the antenna I
could avoid it. They changed the system somewhat (power and/or antenne
heigth), so I don't have problems anymore.
In a mobile environment, just live with the interference until one of
the transmitters is dominant.
With FM you don't get a nice beat frequency, especially when one signal
is dominant. Besides that, doppler shift is low, even at UHF. Think of
80 Hz for the transmitter ahead and behind situation (430 MHz, 100 km/h).
When you listen to PI2NOS (430.125), you will seldom hear discussion on
distortion due to reception of two transmitters, so the system does its
job.
Hopefully this demystifies the doppler issue.