2-4-5
that 10' 7 deg is approximately equal to 1 cm for the
altitude of about 300 m, the average differences were
about 4 cm (max 6 cm) in latitude, and about 2 cm in
longitude, respectively. The altitude difference between
the trajectories was on average equal to 12 cm. The
observed differences between the trajectories are caused
primarily by the separation between the base stations,
and the fact that for most of the presented flight the
Norwood base station tracked LI and L2 phases,
whereas MIT base station tracked only LI (L2 was not
accessible most probably due to signal interference).
East
North
Height
Total error [m]
0.19
0.40
0.58
Gap duration [sec]
84
INS calibration [sec]
236
Total error [m]
0.12
0.06
0.18
Gap duration [sec]
140
INS calibration [sec]
723
Total error [m]
19.0
33.4
7.2
Gap duration [sec]
320
INS calibration [sec]
860
Total error [m]
131.0
209.2
162.4
Gap duration [sec]
1200
INS calibration [sec]
1050
Table 1. Positioning error growth during the GPS
losses of lock.
■71.06
■71.08 -
-71.1 -
■71.12
•71.14
-71.16
■71.18'
42.15
42.2
42.25 42.3
latitude [deg]
42.35
42.4
Figure 7. Flight trajectory December 12, 1998, MIT
campus, Boston.
The first peak in longitude that can be observed in
Figure 8 is caused by the loss of GPS lock by the
Norwood base at epoch 568400 that lasted for about
150 seconds, reaching its maximum at epoch 568555.
Thus the difference for this part of the trajectory is
primarily driven by the error growth during the free
navigation mode from the Norwood base. At epoch
568555 the lock was regained and the difference
between trajectories dropped down to about 1cm in
longitude and 4 cm in latitude, as shown in Figure 9
(this plot shows enlarged portion of Figure 8 for
clarity). The second peak in differences plotted in
Figure 8 resulted from a partial loss of GPS lock again
at Norwood base around epoch 569740. For about 1.5
min the MIT station was collecting data from 9
satellites while Norwood observed only 6. Both events
seem to affect longitude more than latitude.
Nevertheless, the repeatability and consistency of the
trajectory estimation from two independent base
stations provide an indirect quality test that indicates the
high accuracy achievable by the system when GPS is
observable.
Figure 8. Latitude and longitude difference between
trajectories estimated from MIT and Norwood
base stations (10' 7 deg approximately equals to 1
cm).
x 10
-2
-
-4
-
-6
-
-8
-
10
-
12
5.684
latitude
longitude
5.6845 5.685 5.6855
GPS time of week [sec]
5.686
5.6865
x 10 s
Figure 9. Latitude and longitude difference between
trajectories estimated from MIT and Norwood
base stations during Norwood loss of GPS lock.