Integrated GPS/INS can be implemented using a Kalman filter in different
modes, such as loosely, tightly and ultra-tightly
coupled.
In these integration modes, the INS sensor error states, together
with all navigation error states and other unknown parameters of interest,
are estimated using a dynamic model and GPS measurements such as Doppler,
pseudo-range, and/or carrier phase. In order to obtain high accuracy
of positioning results using such systems, the carrier phase measurements
have to be used in the integration filter update. Although integrated
GPS/INS systems using carrier phase observations have been developed
for high precision surveying applications, most of the systems have
been implemented using expensive dual-frequency GPS receivers and/or
a navigation-grade INS. SNAP has been investigating the development
of a cost effective GPS/INS integration using a pair of single-frequency
GPS receivers and a tactical-grade Strapdown INS (SDINS), which delivers
centimetre-level positioning accuracy even during a few seconds of
GPS signal blockage. Figure 1 depicts the GPS/INS integration scheme
used.

Figure 1: Tightly coupled GPS/INS integration scheme using carrier
phase measurements
On 24th and 25th March 2003, kinematic experiments were carried out
in the Clovelly Bay Carpark, Sydney. Both the INS and the GPS antenna
were mounted on the roof of the test vehicle (see Figure 2). For data
acquisition, raw INS sensor measurements were recorded at 100Hz, while
GPS data were logged at 1HZ. The objectives were: (a) to evaluate
overall performance of the GPS/INS integration consisting of a tactical-grade
INS and single-frequency GPS receiver, under benign and harsh (signal
blockage) operational environments; and (b) to investigate the impact
of vehicle dynamics on integration filter initialisation and system
performance during GPS signal blockage.

Figure 2: Trial vehicle
The graphs in the first column of Figure 3 show navigation solution
obtained by the integrated GPS/INS system, whereas the plots in the
second column depict RMS errors of the estimated navigation parameters.
On the other hand, Figure 4 presents the system performance during
fifty second signal blockage. Graphs in the first column illustrate
RMS errors of the INS-predicted antenna position, whereas those in
the second column depicts the INS-predicted antenna position accuracy
obtained from comparison with positioning results without the signal
outages.

Figure 3: Navigational parameters and their RMS errors

Figure 4: INS-predicted antenna position errors during 50 seconds
of the signal blockages
In order to investigate the influence of vehicle dynamics on the
estimation of the error states, four experiments were carried out
with controlled-trajectories. Figure 5 shows the RMS errors of the
horizontal accelerometer biases and heading error estimation, indicating
the different vehicle dynamic contribution to the Kalman filter estimation
procedure. These test results suggest: (a) vehicle dynamics affect
the Kalman filter initialisation time and estimation performance,
especially the heading component; (b) the higher the dynamic changes
in the lateral direction, the shorter the initialisation time and
the more precise the filter estimation; and (c) the S-turn shaped
trajectory provided the best system performance among the four trajectories
considered in these tests.

Figure 5: RMS errors for horizontal accelerometer bias and heading
error estimation