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Global Positioning Systems (GPS). Jeroen Verplanke Department of Urban and Regional Planning and Geo-Information Management. What is GPS ?.  A world wide radio-navigation system  Uses satellites as reference points to calculate positions  Three components:  Space segment
 
                
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Global Positioning Systems (GPS) Jeroen Verplanke Department of Urban and Regional Planning and Geo-Information Management
What is GPS ?  A world wide radio-navigation system  Uses satellites as reference points to calculate positions  Three components:  Space segment  Control segment  User segment
GPS components Spacesegment
GPS components Control segment User segment
How GPS works 1. The basis for GPS is resection from satellites (triangulation) 2. For resection a GPS receiver calculates distance to satellites using travel time of radio signals 3. To measure travel time, GPS needs exact timing 4. Along with distance you need to know the satellite position 5. For accurate positioning you must correct for errors
What GPS accuracy do we need? • Soil map (1:250,000) : • Road map (1:100,000) : • Topographical map (1:50,000) : • Ecological map (1:25,000) : • Cadastral map (1:10,000) : • Architectural plan (1:1,000) : • Sketch map (1: ???) :
? ? ? ? ? ? Cálculo de la posición usando la tecnología GPS X X Superficie de la Tierra
1. Resection from satellites Resection from satellites: determination of an unknown location using 1, 2 and 3 distances to known locations of satellite(s). X Da A Da 1 satellite A X
1. Resection from satellites X A Da Db B Da Db X 2 satellites A + B
1. Resection from satellites C Dc X Da Db A B 3 satellites A + B + C
2. Measuring distance to satellites Distance = velocity * travel time Distance is about 22,000 km  We cannot see satellites We cannot measure exact distance Calculating distance to satellite Using travel time of radio signal Travel time = ? approx. 0.07 sec ! Using radio signal to calculate distance This signal travels with speed of light Speed of light = 299,174 km/sec
3. Exact timing How to measure travel time  satellite and receiver generate radio signal at the same time  travel time = phase difference between signals 1 msec Satellite’s signal GPS receiver’s signal
3. Exact timing  Very precise clocks for exact timing  satellites : highly accurate ‘atomic’ clocks (about USD 100,000 each)  receivers : moderately accurate quartz clocks  Clock error due to difference in clock accuracy  use a 4th satellite to correct for clock error
4. The satellite position in space  Using satellites as reference points for positioning also requires that you know the exact position in space of each satellite, at any place and at any time.  The GPS control segment monitors the satellite position in space.  All details of satellite orbits is available in an ‘almanac’  This satellite status information can be downloaded to the GPS receiver
5. Correcting for errors Main GPS error sources  Clock errors  Signal errors (noise)  Interference in ionosphere and troposphere  Multipath error  Satellite position (“ephemeris”) error  Geometrical error (Geometric Dilution of Precision - GDOP)  Intentional errors (Selective Availability - SA)  Human errors  Receiver errors (hardware, software, antenna)
POOR GDOP (2-6) GOOD GDOP ( 2) 5. Correcting for errors Geometric Dilution Of Precision (GDOP)
5. Correcting for errors Selective Availability (SA) SA off (after May 2000) SA on (before May 2000)
5. Correcting for errors • Some typical errors •  Satellite clock error 2 meter •  Receiver noise 0.5 meters •  Interference in • ionosphere and troposphere 5 meters •  Multipath error 1.4 meter • Satellite position (“ephemeris”) error 2 meters •  poor GDOPup to 200 meters •  Human errors up to hundreds of meters •  Receiver errors • (hardware, software, antenna) any size possible
5. GPS settings • units’ settings: position format: hddd.dddddo, map datum: WGS 84, and units: metric • ‘interface’ settings: i/o format: NMEA out, and baud rate: 4800.
About GPS accuracy • Accuracy can be from 100m to 1mm • Accuracy depends on purpose • Soil map (1:250,000) : • Road map (1:100,000) : • Topographical map (1:50,000) : • Ecological map (1:25,000) : • Cadastral map (1:10,000) : • Architectural plan (1:1,000) : • Sketch map (1: ???) :
Using a handheld GPS receiver Typical accuracy: 10 m Horizontal ( civil use,good GDOP) Results for a Month (Garmin 12XL) Horizontal Accuracy (50%) 3.9 meters Vertical Accuracy (50%) 9.6 meters Horizontal Accuracy (95%) 9.3 meters Vertical Accuracy (95%) 21.9 meters Source: GPS ACCURACY MONITOR by Dennis Milbert (http://mywebpages.comcast.net/dmilbert/handacc/accur.htm)
In conclusion 3. Exact timing 1. Resection from satellites 2. Distance to satellites 5. errors 4. Position in space