Transcript Slide 1

Dynamic Planet 2005
August 22-26 2005, Cairns Australia
Modelling of Dispersive and Non-dispersive Effects on Network-Based Positioning
Tajul A. Musa, Samsung Lim, and Chris Rizos
School of Surveying and Spatial Information Systems
UNSW, Sydney, NSW 2052, Australia
[email protected]
Overview: Single-Based vs Network-Based RTK
Single-based RTK positioning: in demand for a longer inter-receiver
distance, and yet for the same performance as with a short baseline
Key issue: ability to resolve long-range carrier phase ambiguity in (near)
real-time
Problem: long-range ambiguity resolution is complicated due to the
presence of distant-dependent errors i.e; ionosphere effect and
troposphere delay (and orbit error)
Test Area 2 : SIMRSN, SINGAPORE
(low latitude)
Test Area 1 : SYDNET, AUSTRALIA
(mid-latitude)
South East Asia
SEMB
CWAN
SINGAPORE
LOYA
SPWD
+ -
NTU0
Ionospheric Effect
+
Can be effectively cancelled over a short baseline
1-50ppm depending on solar activity and geomagnetic location
Can be eliminated by a double frequency receiver (Iono-free combination)
Tropospheric Delay
Apply a priori or physical models (Saastamoinen, Hopfield, etc)
Can model the dry component effectively but not the wet comp.
1-3ppm depending on geographic location and satellites’ elevation
Common approach : estimation of troposphere scale factor, or
stochastic estimation (not suitable for RTK mode).
Orbit Error
Broadcast ephemeris – accuracy < 200cm, real-time
IGS Ultra Rapid Orbit – accuracy < 10cm, real-time
Not critical to the baseline computation
VILL
UNSW
KEPC
WFAL
Ref. Stn
Master-to-Reference
Process
Network ambiguity
Network residuals
Generating Network
Correction
Residual interpolation
(2D,3D)
Correction separation
User Stn
Centre
User Process
Improv. measurements
Improv. ambiguity estimation
Improv. position accuracy
Network Approach
Lat : 1 15’ - 1 30’ N
Long: 103 40’ - 10359 E
Lat : 33 36’ - 34 08’ S
Long: 150 34’ - 15112’ E
Instantaneous Ambiguity Resolution & Validation
SYDNET (SPWD-VILL)
Cut-off Case
Elev. Init.
Approach: use a local GPS network to better estimate and model
distance-dependent errors
Master Stn
NYPC
Single-Based
Network-Based
SYDNET (F-Ratio)
10
Correct Reject Wrong Correct Reject Wrong
%
%
%
%
%
%
10
4103
84.5
5.8
9.7
91.5
3.0
5.6
15
3916
87.8
2.9
9.3
94.6
1.4
4.0
20
3345
93.6
0.5
5.9
98.1
0.4
1.5
15
20
SIMRSN (LOYA-NYPC)
Cutoff
Elev.
Case
Init.
Single-Based
Network-Based
SIMRSN (F-Ratio)
10
Correct Reject Wrong Correct Reject Wrong
%
%
%
%
%
%
15
10
4665
96.4
2.1
1.5
98.7
0.8
0.5
15
3584
97.4
2.4
0.2
99.3
0.7
0
20
3033
98.5
1.4
0.2
99.6
0.4
0
20
Why separate the network correction?
Net. User Position Accuracy
Dispersive term
has high variation of
ionosphere effect
Non-Dispersive term
has small/slow variation of
troposphere effect
(and orbit error)
Stn. NYPC
Stn. VILL
0.15
0.05
0.1
0
Advantages
• Advanced network error modeling
• Users are in control of correction application
• Extra processing strategy for users
Network Correction Generation
• Geometry-Free (GF) combination for dispersive term
• Ionosphere-Free (IF) combination for non-dispersive term
• Frequent update of dispersive-term modelling
• Less frequent modelling for non-dispersive term – smoothing
technique can be applied
Network User Processing (strategy)
• Improved IF with non-dispersive correction is useful for narrowlane ambiguity resolution
• Combined dispersive and non-dispersive correction improves a
user’s position computation
-0.05
dUp
dUp
0.05
-0.1
0
-0.05
-0.15
-0.1
-0.2
0.1
-0.15
0.05
0.05
dN
Corr
0
0
-0.1
-0.05
Mean
dN
dE
Deviation
dUp
dE
dN
0
Corr
dE
DN
dUp
w/o
-0.015
0.006
with
-0.010
-0.002 0.018 0.012 0.027 0.039
0.045 0.010 0.025 0.027
-0.05
-0.05 -0.1
dE
Mean
DE
w/o
with
0
DN
Deviation
dUp
dE
DN
dUp
-0.047 0.005 -0.051 0.010 0.010 0.028
-0.050 0.005 -0.034 0.011 0.009 0.023
CONCLUDING REMARKS
• Separation of the network correction allows further error modelling and user processing strategy
• Proposed strategy performs reasonably well with the two local GPS networks (SYDNET and SIMRSN),
and improves ambiguity resolution process and therefore user position computation