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Introduction to NAVSTAR GPS Introduction to NAVSTAR GPS Charlie Leonard, 1999 (revised 2001, 2002)
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Page 1: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Introductionto

NAVSTAR GPS

Introductionto

NAVSTAR GPS

Charlie Leonard, 1999(revised 2001, 2002)

Page 2: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Feasibility studies begun in 1960’s.

Pentagon appropriates funding in 1973.

First satellite launched in 1978.

System declared fully operational in April, 1995.

The History of GPS

Page 3: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

How GPS Works

Page 4: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Control Segment

Space Segment

User Segment

Three Segments of the GPSThree Segments of the GPS

Monitor Stations

GroundAntennas

Master Station

Page 5: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Kwajalein Atoll

US Space Command

Control SegmentControl Segment

Hawaii

AscensionIs.

Diego Garcia

Cape Canaveral

Ground AntennaMaster Control Station Monitor Station

Page 6: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Space Segment

Page 7: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Military.

Search and rescue.

Disaster relief.

Surveying.

Marine, aeronautical and terrestrial navigation.

Remote controlled vehicle and robot guidance.

Satellite positioning and tracking.

Shipping.

Geographic Information Systems (GIS).

Recreation.

User Segment

Page 8: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Position and coordinates.

The distance and direction between any two waypoints, or aposition and a waypoint.

Travel progress reports.

Accurate time measurement.

Four Basic Functions of GPS

Page 9: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Position is Based on TimePosition is Based on Time

T + 3

Distance between satelliteand receiver = “3 times thespeed of light”

T

Signal leaves satelliteat time “T”

Signal is picked up by thereceiver at time “T + 3”

Page 10: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Pseudo Random Noise CodePseudo Random Noise Code

Receiver PRN

Satellite PRN

TimeDifference

Page 11: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

What Time is It?What Time is It?

Zulu Time

Military Time(local time on a 24 hour clock)

Universal Coordinated Time

Greenwich Mean Time

Local Time: AM and PM (adjusted for localtime zone)

GPS Time + 13*

* GPS Time is ahead of UTC by approximately 13 seconds

Page 12: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Signal From One SatelliteSignal From One Satellite

The receiver issomewhere onthis sphere.

Page 13: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Signals From Two SatellitesSignals From Two Satellites

Page 14: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Three Satellites (2D Positioning)Three Satellites (2D Positioning)

Page 15: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Triangulating Correct PositionTriangulating Correct Position

Page 16: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Three Dimensional (3D) PositioningThree Dimensional (3D) Positioning

Page 17: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Selective Availability (S/A)

The Defense Department dithered the satellite timemessage, reducing position accuracy to some GPS users.

S/A was designed to prevent America’s enemies from usingGPS against us and our allies.

In May 2000 the Pentagon reduced S/A to zero meters error.

S/A could be reactivated at any time by the Pentagon.

Page 18: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Sources of GPS ErrorStandard Positioning Service (SPS ): Civilian Users

Source Amount of Error

Satellite clocks: 1.5 to 3.6 meters

Orbital errors: < 1 meter

Ionosphere: 5.0 to 7.0 meters

Troposphere: 0.5 to 0.7 meters

Receiver noise: 0.3 to 1.5 meters

Multipath: 0.6 to 1.2 meters

Selective Availability (see notes)

User error: Up to a kilometer or more

Errors are cumulative and increased by PDOP.

Page 19: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Receiver Errors are Cumulative!Receiver Errors are Cumulative!

User error = +- 1 km

System and other flaws = < 9 meters

Page 20: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Sources of Signal InterferenceSources of Signal Interference

Earth’s Atmosphere

Solid Structures

Metal Electro-magnetic Fields

Page 21: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Using GPS Receivers forPositioning and Navigation

Page 22: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

XT

E (C

DI)

N (0000)

(00)N

Desired Track(DTK) (xº) Active Leg

Dista

nce t

o Way

point

Bearing (X

0 )

PresentLocation

Speed Over

Ground (SOG)

Tracking (TRK) (xº)

Active GOTOWaypoint

GPS Navigation TerminologyGPS Navigation Terminology

Course Made Good (CMG)

(CMG) (xº)

ActiveFromWaypoint

Page 23: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Active GOTOWaypoint

Bearing =Course Over Ground (COG) =

Cross Track Error (XTE) =Location Where GOTOWas Executed

Bearing = 650

COG = 50

XTE = 1/2 mi.

Bearing = 780

COG = 3500

XTE = 1/3 mi.

Bearing = 400

COG = 1040

XTE = 1/4 mi.

Active Leg

N

GPS Navigation: On the GroundGPS Navigation: On the Ground

Page 24: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Position Fix

A position is based on real-time satellite tracking.

It’s defined by a set of coordinates.

It has no name.

A position represents only an approximation of thereceiver’s true location.

A position is not static. It changes constantly as the GPSreceiver moves (or wanders due to random errors).

A receiver must be in 2D or 3D mode (at least 3 or 4satellites acquired) in order to provide a position fix.

3D mode dramatically improves position accuracy.

Page 25: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Waypoint A waypoint is based on coordinates entered into a GPS

receiver’s memory.

It can be either a saved position fix, or user enteredcoordinates.

It can be created for any remote point on earth.

It must have a receiver designated code or number, or a usersupplied name.

Once entered and saved, a waypoint remains unchanged inthe receiver’s memory until edited or deleted.

Page 26: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Planning a Navigation RoutePlanning a Navigation Route

Start= Waypoint

Page 27: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

How A Receiver Sees Your RouteHow A Receiver Sees Your Route

Page 28: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

GPS Waypoint Circle of ErrorGPS Waypoint Circle of Error

X

Page 29: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

GPS Dilution of Precision and ItsAffects On GPS Accuracy

Page 30: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

GPS Satellite Geometry

Satellite geometry can affect the quality of GPS signals and accuracyof receiver trilateration.

Dilution of Precision (DOP) reflects each satellite’s position relativeto the other satellites being accessed by a receiver.

There are five distinct kinds of DOP.

Position Dilution of Precision (PDOP) is the DOP value used mostcommonly in GPS to determine the quality of a receiver’s position.

It’s usually up to the GPS receiver to pick satellites which provide thebest position triangulation.

Some GPS receivers allow DOP to be manipulated by the user.

Page 31: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Ideal Satellite GeometryIdeal Satellite GeometryN

S

W E

Page 32: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Good Satellite GeometryGood Satellite Geometry

Page 33: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Good Satellite GeometryGood Satellite Geometry

Page 34: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Poor Satellite GeometryPoor Satellite GeometryN

S

W E

Page 35: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Poor Satellite GeometryPoor Satellite Geometry

Page 36: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Poor Satellite GeometryPoor Satellite Geometry

Page 37: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Differential GPS

Page 38: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

DGPS Site

x+30, y+60

x+5, y-3

True coordinates =x+0, y+0

Correction = x-5, y+3

DGPS correction = x+(30-5) andy+(60+3)

True coordinates = x+25, y+63

x-5, y+3

Real Time Differential GPSReal Time Differential GPS

DGPS ReceiverReceiver

Page 39: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

NDGPS Ground StationsNDGPS Ground StationsNational Differential Global Positioning System

Yellow areas show overlap between NDGPS stations. Green areas are little to no coverage.Topography may also limit some areas of coverage depicted here.

Page 40: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

NDGPS Ground StationsNDGPS Ground StationsNational Differential Global Positioning System

Yellow areas show overlap between NDGPS stations. Green areas are little to no coverage.Topography may also limit some areas of coverage depicted here.

Page 41: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

Wide Area Augmentation SystemWide Area Augmentation SystemGeostationaryWAAS satellites

GPS Constellation

WAAS ControlStation (West Coast)

Local Area System (LAAS)

WAAS ControlStation (EastCoast)

Page 42: Introduction to NAVSTAR GPS - MIT CSAILpeople.csail.mit.edu/rudolph/Teaching/Lectures/How_GPS_Works-1.pdf · GPS Satellite Geometry Satellite geometry can affect the quality of GPS

How good is WAAS?How good is WAAS?

+ -3 meters

+-15 meters

With Selective Availability setto zero, and under idealconditions, a GPS receiverwithout WAAS can achievefifteen meter accuracy mostof the time.*

Under ideal conditions aWAAS equipped GPSreceiver can achieve threemeter accuracy 95% of thetime.*

* Precision depends on good satellite geometry, open sky view, and no userinduced errors.


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