Precise positioning
in multi-GNSS mode
POSITIONING
Limited view angle
POSITIONING
POSITIONING ALTERATIONS
Low number of visible satellites
Poor geometry: visible satellites gathered in a limited space
What are the factors impacting satellite positioning?
POSITIONING
Poor geometry: visible satellites gathered in a limited space
High PDOP
Good geometry: visible satellites spread around the receiver
Low PDOP
The impact of the
geometry on positioning is characterized by the PDOP: Position Dilution Of Precision
PDOP
=P
ositionD
ilutionO
fP
recision = Impact of satellite geometryThe
geometry
of the satellites affects the positioning precision :High PDOP values degrade the positioning precision
2
𝜎𝑃𝑂𝑆 = PDOP . 𝜎𝑂𝐵𝑆
POSITIONING
Forest, city
-Signal obstructions = multipath
What are the factors impacting satellite positioning?
POSITIONING
Receiver quality
What are the factors impacting satellite positioning?
POSITIONING
Cécile Deprez & René Warnant - Université de Liège
How could
multi-GNSS
improve
±
±
±
• •
POSITIONING ALTERATIONS
Low number of visible satellites
Low number of visible satellites MULTI-GNSS
Poor geometry: visible satellites gathered in a limited space
What are the factors impacting satellite positioning?
POSITIONING
Cécile Deprez & René Warnant - Université de Liège MULTI-GNSS IMPROVEMENTS 0 1 2 3 4 5 6 GPS Galileo BDS PD OP 0 1 2 3 4 5 6
E1/L1 E5a/L5 E5b/B2 Poor geometry: visible satellites
gathered in a limited space
PDOP evolution
Forest, city
-Signal obstructions = multipath
What are the factors impacting satellite positioning?
POSITIONING
Forest, city
-Signal obstructions = multipath MULTI-GNSS
IMPROVEMENTS
Receiver quality
What are the factors impacting satellite positioning?
POSITIONING
u-blox image
RECEIVER’S
FEATURES
Low-Cost receivers
Geodetic receivers
$$$ (Thousands USDs ) $$ (Hundreds USDs)
Multi-GNSS Multi-Frequency Multi-GNSS Single-Frequency Septentrio image Trimble image
E5a E6 L2 B2 B3 Lower L-Band L5 E1 L1 B1 Upper L-Band Frequency (Mhz) GPS Galileo BeiDou E5b
G
NSS constellations arecompatible
COMPATIBILITIESPositioning with
Galileo
Galileo E1:
Galileo E1
Position 2D: 0.71 m Position 3D: 1.10 m
Galileo E1:
GPS L1
Position 2D: 0.81 m Position 3D: 1.32 mGalileo E1
Position 2D: 0.72 m Position 3D: 1.13 mPositioning with
GPS
GPS L1:
Positioning with Galileo +
GPS
Galileo E1
+
GPS L1 :
Galileo E1
+
GPS L1
Position 2D: 0.43 m Position 3D: 0.85 m Overlapping frequencies = single-frequencyPositioning with Galileo +
GPS
Galileo E5a
+
GPS L5 :
Galileo E5a
+
GPS L5
Position 2D: 0.45 m Position 3D: 0.73 m Overlapping frequencies = single-frequencyCécile Deprez & René Warnant - Université de Liège
Drawbacks
of multi-GNSS
Differences
lead to
additional biases!
Time systems
Coordinate systems
Hardware delays
between GNSS
Cécile Deprez & René Warnant - Université de Liège
DRAWBACKS
= Inter-System Biases
= ISBs
Mixed-receiver pairs 2 1 Me ter s 32
ISBs
arereceiver-dependent
Identical-receiver pairs Mean: 1.52 m Mean: 0.00 m
+
+
0.2 0 0.2 Me ter s 04:00 08:00 12:00 16:00 20:00 24:00 Hours (a) (b)Trimble NetR9 Septentrio X4
Septentrio X4 Septentrio X4
2 1 Me tr es 4 2 1 4 2 1 4 04:00 08:00 12:00 16:00 20:00 Hours 04:00 08:00 12:00 16:00 20:00 Hours 04:00 08:00 12:00 16:00 Hours 33 2014 2015 2016
ISBs
arestable
over time
Mean: 2.84 m Mean: 2.82 m Mean: 2.86 m (a) (b) (c) ISBS
34
Firmware updates for phases
ISBs
might beaffected
byAfter
Before
04:00 08:00 12:00 16:00 20:00 Hours
Receiver multipath filter for codes After Before 04:00 08:00 12:00 16:00 20:00 Hours -2 -3 -4 -1 0 1 Cen tim et er s 3 4 5 6 7 Me ter s ISBS
P
OSITIONING
WITH
/
OUTISB
S
IMPACT OF ISBS 0.638 0.85 2.47 0.274 0.47 1.15 0 1 2
Obs. Pos 2D Pos 3D
ISBs ignored ISBs removed
Me
tr
es
ISBs removal on a DD SB 5.6 m on DOY 32 of 2018 (E1) between u-blox and Trimble R9 :
- Geodetic antennas
- 30s. data
- Min elevation: 10°
- Multipath filters OFF
Multi-GNSS improves positioning solutions Higher number of visible satellites
Lower PDOP values
Signals of new GNSSs (BeiDou, Galileo) designed to be more robust to multipath Position precision improved regardless of
the receiver brand
Cécile Deprez & René Warnant - Université de Liège
C
ONCLUSIONS
Multi-GNSS solution affected by additional biases ISBs are receiver-dependent
Most of these biases reveal constant in time => they can be estimated and removed from positioning equation
Cécile Deprez
Doctorante en GNSS et géodésie
Unité de Géomatique - Université de Liège Phone : +32 4 366 58 80
Email: cecile.deprez@uliege.be LinkedIn