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    Introduction to GPS

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    GPS - a product of Strategic Defense Initiative(SDI) (also known as Star Wars of Ronald

    Regan) GPS is funded and controlled by the U. S.

    Department of Defense (DOD) but can be used

    by civilians for:- positioning

    - georeferencing

    - navigation

    - time

    - frequency control

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    The GPS is an earth-orbiting-satellite based

    system fully operational since 1993 Signals available anywhere on the earth, day-

    and-night

    Used to determine:

    position, altitude above the ellipsoid andprecise time

    GPS satellites circle the earth twice a day,20,200 km above the earth a speed of about11300 km/hr (or about satellites moving at 4

    km/s)

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    Segments of the GPS

    1. Space Segment:

    Six orbital planes(with nominally four

    SVs in each) equally spaced (60

    deg. apart)

    inclined at about 55

    deg. with respect tothe equatorial plane

    12,600 miles altitude

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    Their configuration provides user between 5-8satellites visible from any point on the earth

    The location of each satellite in space is known

    The orbits are carefully planned and constantlyupdated so that actual location is never off by

    much from the intended location

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    Each satellite constantly sends radiosignals from space, announcing its number,

    and the time that signal was sent

    The distance from each satellite to thereceiver is calculated by comparing the time

    the signal says it was sent with the time thereceiver picks up the signal

    The time difference is multiplied by the speed

    of light to get the distance from satellite toreceiver

    This is done for each satellite the receivercan see

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    The known distances and locations of eachvisible satellite are used to locate the position

    of the receiver We can place ourselves anywhere on a

    sphere around one satellite once we know thedistance to the satellite

    Known distances from two satellites will placeus on a circle that is the intersection of twospheres

    Known distances from three satellites willplace us in two points, which is theintersection of three spheres

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    We may be able to eliminate one point as being impractical, suchas out in space or deep undergound. With one gone, the othermust be correct

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    Multi-Satellite Ranging

    1 range puts user

    on the sphericalface of the cone.

    Intersecting with

    a 2nd rangerestricts user to

    the circular arcs.

    A 3rd range

    constrains userto 1 of the 2

    points.Which point is determined

    by sanity 1 point

    obviously wrong.Pictures courtesy http://giswww.pok.ibm.com/gps

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    Three satellites are sufficient, at leasttheoretically, to provide receiver location

    More satellites simply add confirmation to thereceiver location

    In practice, the more satellites the better Four satellites are the minimum to secure

    only one, absolutely technically,trigonometrically unambiguous location (3Dposition)

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    2. Control Segment:

    5 ground stations located around the world

    monitor the GPS satellites

    check operational health

    master station transmits corrections tosatellites

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    3. User Segment:

    The user segment consists of the GPS receivers

    and the user community

    Garmin Etrex Vista

    $200-300

    Trimble GPS systems

    $5000-7000

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    The GPS receivers convert satellite signals into

    positions, velocity and time estimates Four satellites are required to compute the four

    dimensions of X, Y, Z (position) and T (time)

    GPS receivers are used for navigation,surveying, time dissemination and otherresearch

    Navigation receivers are made for aircraft, ships,

    and ground vehicles and for hand carrying byindividuals

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    The distance from each satellite to thereceiver is calculated by comparing the time

    the signal says it was sent with the time thereceiver picks up the signal

    The time difference is multiplied by the speed

    of light to get the distance from satellite toreceiver

    This is done for each satellite the receiver can

    receive signals The known distances and locations of each

    visible satellite are used to locate the positionof the receiver

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    Clock data parameters describe the SV atomic clockand its relationship to GPS time

    The GPS Navigation Message consists of time-tagged data bits marking the time of itstransmission by the satellite and includes:

    Ephemeris data parameters describe SV orbits for

    short sections of the satellite orbits An ionospheric model that is used in the receiver

    to approximates the phase delay through theionosphere at any location and time

    The amount to which GPS Time is offset fromUniversal Coordinated Time. This correction canbe used by the receiver to set UTC to within 100

    nanoseconds

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    GPS Satellite Signals and Data

    The satellites transmit two microwave carriersignals

    The L1 frequency (1575.42 MHz) carries the

    navigation message, the SPS code signals knownas the C/A (coarse acquisition) Code, the P(precise) Code used for the PPS

    The L2 frequency (1227.60 MHz) carries the P

    Code used for the PPS. The phase differencebetween the P-Code on L1 and L2 is used tomeasure the ionospheric delayby PPS equippedreceivers tracking both frequencies

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    How position is determined?

    Position dimensions are computed by the

    receiver in Earth-Centered, Earth-Fixed X, Y, Z(ECEF XYZ) coordinates

    Position in XYZ is converted within the

    receiver to geodetic latitude, longitude andheight above the ellipsoid

    Latitude and longitude are usually provided in

    the geodetic datum on which GPS is based(WGS-84)

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    Receivers can often be set to convert to otheruser-required datums

    Position offsets of hundreds of meters can resultfrom using the wrong datum

    Receiver position is computed from the SV

    positions, the measured pseudo-ranges, and areceiver position estimate

    Four satellites allow computation of three positiondimensions and time

    Three satellites could be used determine threeposition dimensions with a perfect receiver clock

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    In practice this is rarely possible and three SVsare used to compute a two-dimensional,horizontal fix (in latitude and longitude) given an

    assumed height

    This is often possible at sea or in altimeterequipped aircraft

    Five or more satellites can provide position, timeand redundancy

    Twelve channel receivers allow continuoustracking of all available satellites, includingtracking of satellites with weak or occasionallyobstructed signals

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    GPS accuracy

    Selective Availability (or SA) - introduced

    intentional errors of up to a hundred meters intothe publicly available navigation signals

    disabled since 1 May 2000

    WAAS (Wide area Augmentation System), since

    2000 - accuracy to 2m horiozontal (not in India)

    DGPS (Differential GPS): within cm accuracy

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    GPS Errors

    GPS errors are a combination of noise, bias,

    and blunders

    Noise Errors: are the combined effect of PRN(pseudo-random noise ) ( 1 m) and noise

    within the receiver noise ( 1 m)

    Bias Errors: SV clock errors uncorrected byControl Segment can result in one meter

    errors in position.

    Tropospheric delays: 1 m position error

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    Multipath: 0.5 m of position error

    Multipath is caused by reflected signals from

    surfaces near the receiver that can eitherinterfere with or be mistaken for the signal thatfollows the straight line path from the satellite

    Blunders: can result in errors of hundred of kms

    User mistakes, including incorrect geodeticdatum selection, can cause errors from 1-100 m

    Receiver errors from software or hardwarefailures can cause blunder errors of any size.

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    Different Geometric Dilution of Precision (GDOP)

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    3

    20

    30

    5

    1

    21

    14

    26

    25

    N

    Horizon

    45 above horizon

    SATELLITE SKYPLOT

    20

    25

    Satellite is unavailable

    Satellite is available but not used

    Satellite is available and used

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