1 G. P. S. The Global Position System Miles Logsdon, College of Ocean and Fishery Sciences Phil Hurvitz, College of Forest Resouces.

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G. P. S.The Global Position

System

Miles Logsdon,College of Ocean and Fishery Sciences

Phil Hurvitz, College of Forest Resouces

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Basic Concepts

GPS U.S. government NAVigation System with Time And

Ranging– NAVSTAR

• 24 satellites

Russian systeGLONASS

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Geography

Location index space: coordinates

Latitude-longitudeUTM

absolute v’s relative coordinates121 33’ 12” x 47 24’ 15” = absolute120km east and 40km north of Seattle

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Position v’s Location

Position : GPS coordinates that specify “where”

Location: maps “where” with respect to know objects

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Why use GPS (1)

Availability: 1995, DoD NAVSTAR, civilian use

foreseeable futureAccuracy: Factors

work with “primary” data sources High inherent accuracy (2.5m medium-

quality properly corrected receiver) Time Corrected to 1/1 billionth of a

second

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Why use GPS (2)

Ease of use stop and read a single coordinate =

20m accuracy (+/- 5m) real-time

3-D data horizontal (x & y) and altitude (z) variances in z = horizontal * 2

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Satellite Transmitter Specifications(1)

Radio wave transmission (~20cm)

Not good without direct view of sky (i.e. inside, underground, under canopy, precipitation

24 solar-powered radio transmitters, 3 spares

“middle altitude”, 20,200km, below geosynchronous orbit

GPS SV

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Satellite Transmitter Specifications(2)

Neither polar nor equatorialeach execute a single 12 hour orbit4 satellites in each of 6 orbital planesspeed of 3.87 km/sec ( 8,653 mph)weigh ~ 1 ton with 27 feet of solar panelsOrbit tacks monitored by 4 base stations

Master control station in Colorado Springs

Each satellite monitored twice a day

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Finding distance by measuring time

X

A B

u

Almanac: predicted position of satellitesConstellation: set of satellites usedDOP: Dilution of PrecisionPRN: Pseudo random noise codeElectromagnetic radiation (EM) 299,792.5 Km/sec

4:00 p.m. >> << 7/100 of a secondafter 4:00

G J K E T Y U O W V W T D H K …

G J K E T Y U O W ...

Receiver:Satellite:

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Satellite location

• Given 1 satellite … • We can locate our position on the surface of a sphere

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Satellite location

• Given 2 satellites … • We can locate our position on the intersection of 2 spheres (a circle)

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Satellite location

• Given 3 satellites … • We can locate our position on the intersection of 3 spheres (2 points)

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Satellite location

• Given 4 satellites … • We can locate our position on the intersection of 4 spheres (1 point)

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Satellite location

• The point can be located on the earth’s surface

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Satellite location

• The precise location is determined

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More on timing: Setting receiver clock

• After the correct position is determined, the receiver’s clock is adjusted

• Adding or subtracting time will make the location more or less precise

• If the receiver’s clock is ahead, the position will be over-estimatedfor each signal

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More on timing

• If the receiver’s clock is behind, the position will be under-estimatedfor each signal

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More on timing

• If the receiver’s clock is correct, the position will be properly estimatedfor each signal

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More on timing

• The receiver adds and subtracts time from simultaneous equations until the only possible (correct) position is located.

• The receiver’s clock becomes virtually as accurate as the atomic clocks in the SVs

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Sources of error: Dilution of precision (DOP)

• The best spread of satellites makes the best trilateration

• We want low DOP

• Satellites that are close to each other result in higher DOP:

• HDOP: horizontal DOP• VDOP: vertical DOP• PDOP: positional DOP (combination of HDOP & VDOP)• TDOP: time DOP• GDOP: geometric DOP (combination of PDOP & TDOP)

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Major Factors of error

Satellite clock errors < 1 meter Ephemeris errors (satellite position) < 1

meter Receiver errors < 2 meters Ionosphere errors (upper atmos.) < 2 meters Troposphere errors (lower atmos.) < 2 meters Multipath errors (bounced signals) ??? “Selective Availability” signal transmission 0 - off

(< 33m if on)

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Error Atmospheric

Light travels at 299,792,458 m/s only in a vacuum Ionospheric effects: ionizing radioation Tropospheric effects: water vapor Light is “bent” or reflected

Clock Receiver clock errors, mostly corrected by software in receiver Satellite clock errors Satellite time stamp errors Time stamp errors are not correctable SV timing & clocks are constantly monitored and corrected

Receiver Power interrupts On-board microprocessor failure Firmware Software Blunders (user error)

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Sources of error: Selective availability (S/A)• Clock timing error factor introduced by the DOD

• Standard operation on the satellites.

• S/A changes the time stamp of the outgoing signals

• Calculated positions are erroneous

• SA causes locations to be in error up to 100 m

• Each satellite encrypts its own data separately

• Encryption keys shift frequently

• In the event of warfare, enemy forces cannot use the same accuracy as the US armed forces

• Military-grade have the ability to decrypt the time dithering,which lowers error to about 15 m from ~100 m uncorrected

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Recording Data

180 fixes needed for maximum accuracy for a receiver and constellations

1 fix every 3 secondsYou’ll need ~ 9 minutes

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Import into GIS

• Uncorrected data

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Import into GIS

• Differentially post-processed

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Import into GIS

• Real-time corrected