to be different for each satellite at any instant in time and tends to be at a minimum
following a new navigation message upload.
GDOP is an instantaneous measure of the error contributed by the geometric
relationship of the satellites as seen by the receiver. GDOP is a dimensionless
multiplicative factor. For a given value of UERE, small GDOP values mean more
precise position and/or time. GDOP varies because the satellites are in constant
motion and their geometric relationships are constantly changing. Consequently
GDOP can vary with time and user location. The "average" GDOP tends to induce
a circular error distribution in the horizontal plane with the vertical contribution of
error approximately 1.5 times the horizontal contribution. In real time, GDOP can
be asymmetrical in the three dimensions and vary significantly from the average or
typical case, however, GDOP can be easily measured by the receiver, and is often
used to select optimum combinations of satellites for the position solution or to
develop real time accuracy estimates.
GDOP distributions are not Gaussian, particularly in the tails of the distribution.
The global distribution of GDOP can vary significantly at the 95% probability level
due to temporary "vacancies" in the GPS constellation, while remaining relatively
constant at the 50% probability level where the GPS PPS system accuracy
requirement (16 metres SEP) is defined. Therefore, PPS 95% accuracy
specifications derived from this requirement may not be rigorously maintained
through all the possible states of the GPS constellation. However, although small
variations in accuracy performance are likely with each change in the constellation
state, worst case situations are worst case for all users and by all measures of
system performance, and will therefore be avoided or quickly corrected by the
Control Segment. (Temporary "vacancies" in the satellite constellation can be
expected over the life of the system due to preventive maintenance, satellite end
of life failures and delayed replacements, or random satellite failures that are
correctable by the Control Segment.)
UERE and GDOP are explained in more detail in paragraphs 3.1.2 and 3.1.3. It
should be noted that these errors are constantly present as normal variations in
accuracy, even with a complete GPS constellation and correctly operating
satellites, Control Segment, and receiver.
3.1.2 GPS PPS System Range Error Budget
The GPS PPS system range error budget is presented in Table 3 1. The budget is
expressed for the 95% probability level of the system UERE. This is a UERE averaged for
all satellites over a 24 hour period. Therefore, the long term (greater than 24 hours) one
sigma UERE for an individual satellite can exceed this value and the system can still meet
the accuracy requirements specified in the previous paragraph. The instantaneous UERE
of all satellites will typically exceed this value at sometime during a 24 hour period. From
the user point of view, the important values in this error budget are those allocated to the
User Segment. These are excellent guidelines for the purchase or development of
receivers because they are independent of the performance of the Space and Control
segments.
3 2
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