THEME 3: MULTI-SENSOR INTEGRATION
GPS/Pseudolite/INS Integration
Although existing GPS/INS systems can effectively address the inherent
drawbacks of each component system, their performance relies greatly
on the quality of GPS measurements and the geometry of the satellite
constellation. For example, due to the limited number of GPS satellites,
a sufficient number of ÔvisibleÕ satellites cannot be guaranteed at
all times and all locations. Even when some low elevation satellites
can be tracked, the measurements from these satellites may be contaminated
by relatively high atmospheric noise. Therefore, this intrinsic shortcoming
of satellite-based positioning systems results in, for example, poor
accuracy in the vertical coordinate component, which is about two-to-three
times worse than that of the horizontal coordinate components. Moreover,
the performance is degraded in harsh operational circumstances. Some
typical examples are when the duration of satellite signal blockage
exceeds an INS bridging level, resulting in large accumulated INS
errors that cannot be calibrated by GPS. Such a scenario is unfortunately
a common occurrence for certain kinematic applications, and hence
the integration of GPS/INS with other technologies needs to be considered.
One such technology option is the pseudolite. It is anticipated
that pseudolites deployed at appropriate locations can augment the
GPS/INS integration system, so that accurate position and attitude
information can be obtained for a wide range of operational scenarios.
SNAP research over a number of years has investigated the issue of
incorporating pseudolite observables into a GPS/INS positioning and
navigation system in order to improve solution availability, reliability,
and accuracy in a localised area.
This system concept and preliminary test results were presented in:
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WANG, J., DAI, L., TSUJII, T., RIZOS, C., GREJNER-BRZEZINSKA,
D., & TOTH, C.K., 2001. GPS/INS/Pseudolites: Concepts, simulation
and testing. 14th Int. Tech. Meeting of the Satellite Division
of the U.S. Inst. of Navigation, Salt Lake City, Utah, 11-14 September,
2708-2715. (Download PDF
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LEE, H.K., 2002. GPS/pseudolite/SDINS integration
approach for kinematic applications. 15th Int. Tech. Meeting of
the Satellite Division of the U.S. Inst. of Navigation, Portland,
Oregan, 24-27 September, 1464-1473. (Download
PDF)
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LEE, H.K., WANG, J., & RIZOS, C., 2002. Kinematic
positioning with an integrated GPS/pseudolite/INS. 2nd Symp. on
Geodesy for Geotechnical & Structural Applications, Berlin, Germany,
21-24 May, 314-325. (Download
PDF)
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LEE, H.K., WANG, J., RIZOS, C., GREJNER-BRZEZINSKA,
D., & TOTH, C., 2002. GPS/pseudolite/INS: Concept and first tests.
GPS Solutions, 6(1-2), 34-46. (Download PDF)
On 26th June 2002, a kinematic experiment was carried out on the
UNSW campus in order to investigate the effect of using additional
pseudolite signals in the integrated navigation solution. The experimental
system consisted of NovAtel Millennium GPS receiver, IntegriNautics
IN200 pseudolite, and Boeing MIGITS strapdown INS.

Figure 1: Electrical test vehicle for GPS/PL/INS system
This field experiment demonstrated that the two pseudolites employed
improved the precision of positioning, especially in the vertical
component, as well as other parameters in the filter (see Figures
2 to 4). The test under harsh GPS operational condition has shown
that pseudolite transmitter deployment makes centimetre-level accuracy
positioning possible even if there are insufficient GPS signals (three)
available.

Figure 2: Coordinate differences in GPS/INS system with/without
two pseudolite signals

Figure 3: DD residuals in four satellites pairs in the GPS/INS case

Figure 4: DD residuals in four satellites pairs in the GPS/PL/INS
case
Results of the experiment were published in:
LEE, H.K., WANG, J., RIZOS, C., & GREJNER-BRZEZINSKA, D., 2004. Analysing
the impact of integrating pseudolite observations into a GPS/INS system.
Journal of Surveying Engineering, 130(2), 95-103. (Download
PDF)
In addition to the research on this new positioning and navigation
system design, GPS carrier phase processing techniques (ambiguity resolution
and cycle slip detection & identification) have been developed for maintaining
high accuracy of the GPS/pseudolite/INS system. The GPS carrier phase
measurements with correctly estimated integer ambiguities must be utilised
to update the system integration filterÕs states. The occurrence of
a cycle slip that is undetected is, however, one major error source
that can significantly degrade the filterÕs performance. Therefore this
research has developed not only an effective procedure to increase the
reliability and speed of ambiguity resolution by means of additional
pseudolite and INS measurements (see Figure 5), but also an algorithm
which can effectively detect, using Cumulative-Sum (CUSUM) test, and
identify the cycle slips.

Figure 5: The ambiguity resolution procedure
A series of simulation studies based on Ambiguity Resolution of Dilution
of Precision (ADOP) values were carried out to investigate the performance
of the proposed ambiguity resolution procedure (see Figures 6 & 7).

Figure 6: Impact of pseudolites on ADOP (as a function of the number
of pseudolites)

Figure 7: Impact of INS-predicted position error on ADOP during
signal blockages (GPS/PL/INS systems)
On 23rd April 2003, land vehicle experiments were carried out to evaluate
the ambiguity resolution (AR) and cycle slip detection & identification
performance for the integrated GPS/pseudolite/INS system.

Figure 8: Experiment set-up
Figure 9 shows the time-to-fix of L1 carrier phase ambiguities after
complete GPS/pseudolite signal blockage. The results manifest two important
characteristics. First, the GPS-only solutions are the poorest in all
cases. Second, the AR performance of GPS/INS and GPS/pseudolite/INS
are similar after a short signal outages (up to 10 seconds). However,
the AR performance is significantly improved by employing pseudolite
measurements for outages of 20 seconds or more. Special attention should
be paid to Case I, because this is where the most significant improvement
was obtained. Hence it is demonstrated from the results that the proposed
AR procedure based on GPS/pseudolite/INS integration makes it possible
to resolve the ambiguities within a couple of seconds if the outage
is relatively short. Moreover, the AR performance can be considerably
enhanced even in the case of a blockage of 50 seconds.

Figure 9: Time-to-fix L1 carrier phase ambiguity after different
lengths of signal blockage
Figure 10 illustrates the cycle slip decision values and two-sided
CUSUM values for pseudolite measurements. The top graphs in these figures
depict the decision values with the introduced cycle slips in the raw
measurements. The second and third graphs show that the CUSUM values
remain at zero when no cycle slip occurs. At the occurrence of a cycle
slip, the detection threshold is exceeded and the cycle slip determination
process identifies the affected double-differenced observations. It
is seen from the results how well the algorithm performs in the data
processing as slipped carrier phase measurements are successfully detected
and identified without missing any cycle slips, despite some slips occurring
on two successive epochs.

Figure 10: CUSUM test for pseudolite measurements to detect & identify
the cycle slips
More details on this research issue can be found in:
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LEE, H.K., WANG, J., & RIZOS, C., 2003. Effective
cycle slip detection and identification for high precision integrated
GPS/INS systems. The Journal of Navigation , 56, 475-486.
(Download PDF)
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LEE, H.K., WANG, J., RIZOS, C., LI, B., & PARK, W.Y.,
2003. Effective cycle slip detection and identification for high accuracy
integrated GPS/INS positioning. 6th Int. Symp. on Satellite Navigation
Technology Including Mobile Positioning & Location Services, Melbourne,
Australia, 22-25 July, CD-ROM proc., paper 43. (Download
PDF)
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LEE, H.K., WANG, J., RIZOS, C., & PARK, W.Y.,
2003. Carrier phase processing issues for high accuracy integrated
GPS/Pseudolite/INS systems. 11th Int. Assoc. of Institutes of Navigation
World Congress, Berlin, Germany, 21-24 October, CD-ROM proc.,
paper 252. (Download
PDF)
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