
Presented at ION-GPS 97, Kansas City, MO. ÒNew Product DescriptionsÓ Session.
1. Typical accuracy is one hundred times as good as
DGPS.
2. There is an initialization period following power-
on. T his initialization calculates the integer
number of carrier phase wavelengths. This is
known as Òfixing the integersÓ.
3. There is a non-zero probability that the
initialization will be wrong.
In assessing RT K performance we thus address all t hree
issues: reliability, speed and accuracy.
RELIABILITY - The best RTK receivers offer
greater than 99.9% reliability. To put this in context:
suppose you turned on your RTK receiver once per
day, t he receiver fixed int egers and from then on
maintained lock on at least 4 satellites all day, then
your receiver would fix int egers incorrect ly about once
every three years.
Both the Z-Sensor and GG-RTK receivers provide
greater than 99.9% reliability, as well as providing the
user with control of the reliability. The user may
choose from three Ò formal reliabilityÓ settings,
corresponding to probabilities: 95%, 99% and 99.9%.
The receiver guarantees that the achieved reliability is
greater than the formal reliability setting. The greater
the reliability the slower the initialization.
SP EED -
RT K initialization is split into two stages, the
acquisition phase (when the satellites signal is acquired)
and the integer fixing stage (when the integer numbers
of wavelengths are computed). T he GG-RTK receiver
is always faster than a dual-frequency receiver for the
acquisition phase (because it only needs to acquire the
single-frequency C/A code, which is easy). On short
baselines (<1km) the GG-RTK receiver is also faster
than dual-frequency receivers for the integer-fixing
stage. On medium and long baselines the Z receiver is
faster than GG-RTK for the integer fixing stage.
Typical times to fix integers are 30 seconds through 2
minut es.
ACCURACY - Once the integers are fixed
correctly, RTK accuracy is at the centimeter-level.
During the integer fixing phase, while the integers are
being fixed they are modeled as real numbers (or
floating-point numbers), and the position is referred to
as a ÒfloatÓ solution. Float solutions have accuracy
ranging from DGPS levels (meter level) to decimeter
level, depending on how long the receiver has been
tracking the signals.
If the integers are fixed incorrectly, the position will
have float-solution accuracy, but the statistical
indicators available in the field will make it look like it
has centimeter accuracy. This will persist until the
satellite geometry changes, and the receiver realizes its
mistake. At this time the receiver will return to float
mode, and then fix the integers correctly. The satellite
geomet ry changes when new sat ellit es come int o view
or, if this does not happen in time, when the satellites
move enough in t he sky (usually 2 - 10 minut es is
required).
FIELD TESTS
We present results achieved by the two new
product s, Z-Sensor and GG-RTK. T he initialization
results are summarized in the next two figures. These
figures represent the results of, literally, thousand of
tests. For each test the receiver is allowed to fix
integers, and the time it takes to do this is recorded,
then the receiver is reset. This gives us a measure of
the integer-fixing phase of RTK initialization. T ests
were done both for st atic and dynamic cases, t he t ime
to initialize is the same whether the receiver is static or
dynamic.
The first plot shows the results for the Z receiver. The
results are organized into three baselines: short (<1km),
medium (3 to 7 km) and long (19 km). For the long
baseline tests, dat a was logged to a PC and processed on
the PC to give an approximation of what we expect to
see in real time. PC-processed data is shown as a dotted
line on the plots. Real time data collected so far agrees
closely wit h t he dat a processed on t he P C, but , where
we have not collected enough real-t ime dat a t o give
meaningful statistical results (i.e. thousands of tests) we
show only t he P C-processed results.
40%
50%
60%
70%
80%
90%
100%
1 10 100 1000
Time since reset (seconds)
Z Receiver, RTK intialization, integer-fixing
phase . Short, Medium and Long baseli n es
The second plot shows results for the GG-RTK
receiver, collected and displayed in a similar way. The
Z Receiver results are shown, in light grey, on this plot
for reference.
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