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Chapter 3 - Receiver Descriptions
To compensate for the one second computational pipeline delay, a one second
propagated position is computed that corresponds to T
k
based on the position and velocity data
computed from measurements taken at time T
k -1
. In this way, the position data output on epoch
T
k
will most closely correspond with the receiver true position when the data is output on the
serial port. Of course, there can be a position error due to the propagation process if the receiver
is undergoing acceleration. The error can be as large as 4.5 m for every G of acceleration. There
is no significant error under stationary or constant velocity conditions.
Position Data Latency
The position data output in the current data packet (i.e., at time T
k
) is the result of a Least
Squares Estimation (LSE) algorithm using satellite pseudorange measurements taken at time T
k-
1
. The resulting LSE position corresponding to time T
k-1
is then propagated one second forward by
the velocity vector (the result of an LSE fit using satellite pseudorange rate measurements taken
at T
k-1
). The resulting propagated position is output at the T
k
epoch.
Velocity Data Latency
The velocity data output in the current data packet (i.e., at time T
k
) is the result of an LSE fit using
satellite pseudorange rate measurements taken at time T
k-1
. The pseudorange rate
measurements are derived from the difference in integrated carrier frequency data sampled at
measurement epochs T
k-1
and (Tk
-1
-200 ms). In effect, the resulting velocity data represents the
average velocity of the receiver halfway between T
k-1
and (T
k-1
-200 ms).
Time Data Latency
The time data output in the current data packet (i.e., at time T
k
) is the result of an LSE fit using
satellite pseudorange measurements taken at time T
k-1
. The time estimate at T
k-1
is then
propagated by one second plus the computed receiver clock bias rate at time T
k-1,
before being
output at time T
k
. The resulting time data is the best estimate of local time corresponding to the T
k
measurement epoch based on data available at T
k-1
.
ONE PULSE PER SECOND (1PPS) TIMING
Measurement Epoch Timing
The M12+ receiver timing is established relative to an internal, asynchronous, 1 kHz clock
derived from the local oscillator. The receiver counts the 1 kHz clock cycles, and uses each
successive 1000 clock cycles to define the time when the measurement epoch is to take place.
The measurement epoch is the point at which the receiver captures the pseudorange and
pseudorange rate measurements for computing position, velocity, and time.
When the receiver starts, it defines the first clock cycle as the measurement epoch. Every 1000
clock cycles from that point define the next measurement epoch. Each measurement epoch is
Motorola GPS Products - M12+ User's Guide Revision 6.X 09FEB05
41
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