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GPS. GLONASS. Global Navigation Satellite Systems GNSS. Galileo. X,Y,Z. X,Y,Z. X,Y,Z. X,Y,Z. Measuring distance. ?. The princple of determining your position using GPS. an estimation in space. X,Y,Z. Lat 55 O N. EQUATOR. Lat 55 O S. GPS satellite orbits.
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GPS GLONASS Global Navigation Satellite Systems GNSS Galileo
X,Y,Z X,Y,Z X,Y,Z X,Y,Z Measuring distance ? The princple of determining your position using GPS an estimation in space X,Y,Z
Lat 55O N EQUATOR Lat 55O S GPS satellite orbits • 24 satellites (27 today) • 20 200 km height • 11h 58 min orbital time • Inclination 55O
GPS satellites pass in zenit along an east-westerly line just south of Sweden (Lat 55O N) Lat 55O N
GPS signals L1: 19 cm C/A-kod P(Y)-kod L2: 24 cm P(Y)-kod Satellite message Orbital data Clock information
Code measurements Measuring distance to satellites Signal from satellite Signal generated in receiver Time difference
If you know the Time.... S=v*t and Speed.... then you know the Distance
A position in three dimensions requires four satellites in practice, due to clock errors Let's start with two dimensions
Pseudorange Clock error re-estimated to distance Code measurements
The z-coordinate and the fourth satellite Let's go on with three dimensions
Positioning in 3 dimensions Coordinates in three dimensions require four satellites
”Signal for disturbance” Selective Availability Impact of SA, 01 May, 2000
”Signal for disturbance” Selective Availability No impact of SA, 03 May, 2000 “The images compare the accuracy of GPS with and without selective availability (SA). Each plot shows the positional scatter of 24 hours of data (0000 to 2359 UTC) taken at one of the Continuously Operating Reference Stations (CORS) operated by the NCAD Corp. at Erlanger, Kentucky. On May 2, 2000, SA was set to zero. The plots show that SA causes 95% of the points to fall within a radius of 45.0 meters. Without SA, 95% of the points fall within a radius of 6.3 meters.”
Test of a simple GPS receiver N Point registrations during one hour units in metres
Code measurements Fast Cheap Insensitive for signal interruptions Inaccurate
Absolute positioning One single receiver (code measurments) Relative measurements At least two simultaneous receivers (code and carrier phase measurements) Two different methods for positioning
To achieve high accuracy, relative measurment is required X D D Y Z D
Carrier phase measurements Solving the ambiguity value one period or wave length L1 = 19 cm L2 = 24 cm
Solving the ambiguity value, fast static measurements 1.0 m A certain amount of data is needed for solving the ambiguity value 0.01 m 1 min 5 min
Impact of the atmosphere Satellite geometry Signal screening Multipathing - bouncing signals Problems to consider
Retardation of signals Jonosfär 200 km Troposfär 50 km
Elevation angle • Avoid low angles • If carrier phase > 15O • Increased sun activity may require larger angles • Nighttime measurements?
Impact of the atmosphere • Risks with short observation time • L1, L2 och L3-solution • Two frequencies can eliminate impact (L3)
Satellite configuration • Satellite location in relation to the receiver is important • Large spread is desired, both in bearing and elevation Large spread, low DOP-value
Satellite configuration DOP is a measure on the configuration quality Dilution Of Precision (DOPs) GDOP-Geometric DOP Includes Lat, Long, Ht & Time Offset • PDOP-Positional DOP Includes Lat, Long, Ht • VDOP-Vertical DOP Includes Height Only • HDOP- Horizontal DOP Includes Lat, Long Only Low spread, high DOP-value
Screening of GPS signal Signal interruptions can be very disturbing
Bouncing signals • - multipathing Multipahing creates false signals
Aspects to consider Free horizon At least 4 satellites Satellite configuration (DOP-value) Risk for multipathing Elevation angle (carrier phase) Sufficient log-time (carrier phase)
Solving ambiguity values in real time data XYZ Radio modem
Solving ambiguity values, RTK GPS 1.0 m Increased demand on satellite configuration for fast solution 0.02 m 0.25 min 0.5 min
Radio- transmitter Reference station Correction data Differential GPS (DGPS)
Satellit ID Distance correction Error speed Example of RTCM-corrections
Radio transmitter FM-band SWEPOS Correction data DGPS via EPOS correction service
SWEPOS A network of fixed reference stations
EGNOS EGNOS is short for European Geostationary Navigation Overlay Service (”European system for navigation through geostationary overlap” – in practice a satellite based system for improvment of GPS). In USA, it is common for instance among farmers to use the American analogue WAAS. Farmers in Europe will use EGNOS in various precision farming activities. It can also be a tool for improved control of the union’s regulations.
Commercial DGPS services Ground based Satellite distribution Equipment required GPS-receiver For instance RDS receiver Subscription
DGPS Simple to use Cheap Cover large areas Insensitive against signal interruptions Problem with DGPS-coverage
Carrier phase measurements in real time within a network of reference stations High accuracy within large areas Only rover unit neede Network RTK Network RTK stations in southern Sweden
Single station-RTK / Network-RTK + = Reference station = Area of coverage
RTK-data + estimated model for ionosphere, tropospher, orbit parametres etc. Network - RTK Virtual reference station
Network-RTK • Long distance between reference stations • Allways quality-controlled data transmitted • User only needs one GPS-receiver • Seamless coverage area • Data communication between rover and estimation server currently expensive (GSM) • Poor GSM coverage
Controlling machinery with high accuracy Accurately follow a predetermined track Excavate according to designed model Possibilities with RTK
Cost 40 k€ Accuracy 0.2 k€ 10 m cm mm Cost vs. accuracy Methods and expected accuracy Absolut positioning, C/A-code <10 m Absolut positioning, P-code < 5 m DGPS through beacon < 2 m DGPS with local reference < 0.5 m Relative carrier phase < 0.02 m Relative carrier phase with advanced estimation technique mm-nivå