[alberg30] GPS Doppler Velocity
Robert Kirk
kirk at neptune.gsfc.nasa.gov
Thu Mar 2 11:31:01 PST 2000
George Dinwiddie wondered:
>So you think the GPS can measure 5 knots based on the doppler shift
>of the relative movement between your boat and the satellite? I
>don't think so. [...]
It sure does. And the satellites are whizzing around at thousands of miles
an hour while your boat is doing 5 knots. Isn't modern technology
nice? Your GPS receiver is using a couple of phase lock loops to (1)
receive the message data, (2) measure the travel time (Pseudo Range), and
track the phase shift (Pseudo Range Rate or DOPPLER). All this on up to 12
satellites at a time. It needs 4 satellites for an x,y,z solution and uses
any additional ones to improve the solution. It can measure the doppler
offset to about 1/20 Hertz. It uses the velocity information to update the
position and the positional changes to help calculate the doppler in a boot
strappy way. It throws all this into a Kalman filter and outputs position,
time, & speed. Since your GPS doesn't show negative (vector) speeds, the
stationary speed won't average out to zero.
Even with SA on, the max probable speed error is less than a knot, and in
practice is better. The spec for the current Garmins is 1/10 knot RMS.
You can check the GPS speed against wood chips thrown over the side if you
want real precision.
Cheers,
Bob
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