Basic concept, System Architecture, GPS and GLONASS Overview, Satellite Navigation, Time and GPS, User Position and Velocity Calculations, GPS Satellite Constellation, Operation Segment, User Receiving Equipment, Space Segment Phased Development, GPS Aided Geo augmented Navigation (GAGAN) Architectu...
Basic concept, System Architecture, GPS and GLONASS Overview, Satellite Navigation, Time and GPS, User Position and Velocity Calculations, GPS Satellite Constellation, Operation Segment, User Receiving Equipment, Space Segment Phased Development, GPS Aided Geo augmented Navigation (GAGAN) Architecture.
Contd…
▶GNSSstandsforGlobalNavigationSatelliteSystem,andisthestandard
generic term for satellite navigation systems that provide autonomousgeo-
spatialpositioningwithglobalcoverage.Thistermincludese.g.theGPS,
GLONASS,Galileo,Beidou,IRNSSandotherregionalnavigationsystems.
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UserSegment
▶Comprises of thousand of
military users who uses the
secure GPS Precise Positioning
service, and millions of civil,
commercialandscientificusers.
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GLONASS
GLONASS
▶AsecondconfigurationforglobalpositioningistheGlobalOrbiting
NavigationSatelliteSystem(GLONASS),placedinorbit bythe
formerSovietUnion,andnowmaintainedby the RussianRepublic.
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Contd…
GPSOrbits
▶Theorbitsareinclinedatanangle
of 55°relative to the equator and
are separated from each other by
60°.
GLONASSOrbits
▶Each orbital plane has a
nominal inclination of 64.8°
relativetotheequator,andthe
three orbital planes are
separated from each other by
multiples of 120°right
ascension.
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Contd…
GPSOrbits
▶Theorbitsarenongeostationary
andapproximatelycircular,with
radii of 26,560 km and orbital
periods of one-half sidereal day
(≈11.967h).
GLONASSOrbits
▶GLONASS orbits have smaller
radii than GPS orbits, about
25,510 km, and a satellite
period of revolution of
approximately 8/17 of a
siderealday.
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Contd…
▶Theoretically, three or more GPS satellites will always be visible
frommostpointson theearth’ssurface.
▶FourormoreGPSsatellitescanbeusedtodetermineanobserver’s
positionanywhereontheearth’ssurface24h/day.
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Contd…
GPSSignals
▶The GPS system uses Code
division multiplexing of
independentsatellitesignals.
GLONASSSignals
▶TheGLONASSsystemusesfrequency-
division multiplexing of independent
satellitesignals.
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Contd…
GPS Signals
Each GPS satellite transmits two
spread spectrum, L-band carrier
signals on two of the legacy L-
band frequencies—an L1 signal
with carrier frequency f1 = 1575.42
MHz and an L2 signal with carrier
frequency f2 = 1227.6 MHz.
GLONASSSignals
▶Its two carrier signals corresponding to
L1 and L2 have frequencies f1 = (1.602 +
9k/16) GHz and f2 = (1.246 + 7k/16)
GHz, where k = −7, −6, . . . 5, 6 is the
satellite number. These frequencies lie in
two bands at 1.598–1.605 GHz (L1) and
1.242–1.248GHz(L2).
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Contd…
GPSSignals
▶Thesetwofrequenciesareintegral
multiplesf1=1540f0andf2=1200f0
ofabasefrequency f0=1.023MHz
▶TheL1signalfromeachsatelliteuses
binaryphase-shiftkeying(BPSK),
modulatedbytwopseudorandom
noise(PRN).
GLONASSSignals
▶The L1 code is modulated by a C/A-
code(chiprate=0.511MHz)andbya
P-code (chip rate = 5.11 MHz). L2
code is presently modulated only by
theP-code.
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Contd…
GPSSignals
▶Theinitialsatelliteconfigurationused
SAwithpseudorandomditheringof
theonboardtimebutthiswas
discontinuedonMay1,2000.
GLONASSSignals
▶GLONASSdoesnotuseanyformof
SA.
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Time and GPS
CoordinatedUniversalTimeGeneration
▶CoordinatedUniversalTime(UTC)isthetimescalebasedontheatomic
second,butoccasionallycorrectedbytheinsertionofleapseconds,soasto
keepitapproximatelysynchronizedwiththeearth’srotation.
▶TheleapsecondadjustmentskeepUTCwithin0.9sofUT1,whichisa
timescalebasedontheearth’saxialspin.
▶UT1isameasureofthetrueangularorientationoftheearthinspace.
Becausetheearthdoesnotspinatexactlyaconstantrate,UT1isnota
uniformtimescale.
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Time and GPS
GPSSystemTime
▶ThetimescaletowhichGPSsignalsarereferencedisreferredtoasGPS
time.
▶GPStimeisderivedfromacompositeor“paper”clockthatconsistsofall
operationalmonitorstationandsatelliteatomicclocks.
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Time and GPS
GPSSystemTime
▶Overthelongrun,itissteeredtokeepitwithinabout1µsofUTC,as
maintainedbythemasterclockattheU.S.NavalObservatory,ignoringthe
UTCleapseconds.
▶Attheintegersecondlevel,GPStimeequaledUTCin1980.However,due
totheleapsecondsthathavebeeninsertedintoUTC,GPStimewasahead
ofUTCby14sinFebruary2006.
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Time and GPS
ReceiverComputationOfUTC
▶TheparametersneededtocalculateUTCfromGPStimearefoundin
subframe4ofthenavigationdatamessage.
▶Thesedataincludeanoticetotheuserregardingthescheduledfuture
orrecentpast(relativetothenavigationmessageupload)valueof
thedeltatimeduetoleapseconds,togetherwiththeweeknumber
WNLSF(WeeknumberLeapsecondfuture)andthedaynumberDN
attheendofwhichtheleapsecondbecomeseffective.
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Time and GPS
ReceiverComputationOfUTC
▶Thelattertwoquantitiesareknownastheeffectivitytimeof
theleapsecond.“Day1”isdefinedasthefirstdayrelativeto
theend/startofaweekandtheWNLSFvalueconsistsofthe
eightleastsignificantbits(LSBs)ofthefullweeknumber.
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Satellite Navigation
▶TheGPSiswidelyusedinnavigation.Itsaugmentationwith
otherspace-basedsatellitesisthefutureofnavigation.
NavigationSolution(Two-DimensionalExample)
Antenna location in two dimensions can be calculated by
using range measurements.
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Symmetric Solution Using Two
Transmitters on Land.
In this case, the receiver and
two transmitters are located
in the same plane, as shown
in Fig. with known positions
x1, y1 and x2, y2.
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Fig. Two transmitters with known two
dimensional positions
Contd…
Ranges R1 and R2 of two transmitters from the user position are calculated as
R1 = c AT1
R2 = c AT2
Where c = speed of light (0.299792458 m/ns)
AT1 = time taken for the radio wave to travel from transmitter 1 to the user
AT2 = time taken for the radio wave to travel from transmitter 2 to the user
(X , Y )= user position
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Contd…
There are 5 distinct kinds of DOP.
•GDOPGeometric Dilution of Precision
•PDOPPosition Dilution of Precision
•TDOPTime Dilution of Precision
•VDOPVertical Dilution of Precision
•HDOPHorizontal Dilution of Precision
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Contd…
There are 5 distinct kinds of DOP.
•GDOPGeometric Dilution of Precision (Latitude, Longitude, Altitude and
clock)
•PDOPPosition Dilution of Precision (Latitude, Longitude, Altitude )
•TDOPTime Dilution of Precision (Clock)
•VDOPVertical Dilution of Precision (Altitude)
•HDOPHorizontal Dilution of Precision (Latitude and Longitude Positions)
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Contd… 68
Computation of DOP Values
As a first step in computing DOP, consider the unit vectors from the receiver
to satellite i
Where,
(x,y,z) represents unknown position of the receiver
(xi,yi,zi) represents known positions of the satellite
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Computation of DOP Values
Formulate the matrix, A, which (for 4 pseudo range measurement residual
equations) is
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Computation of DOP Values
ThefirstthreeelementsofeachrowofAarethecomponentsofaunitvector
fromthereceivertotheindicatedsatellite.Thelastelementofeachrow
referstothepartialderivativeofpseudorangew.r.t.receiver'sclockbias.
Q, as thecovariance matrixresulting from theleast-squares normal matrix
elements of Q are
71
Computation of DOP Values 72
PDOP, TDOP and GDOP are given by
GDOP is the square root of the diagonal elements of the matrix Q.
Contd… of DOP 73
DOP gives the geometric orientation of the satellites w.r.t the antennas.
Values of the DOPs are used for the GPS measurement quality
Smaller values of DOP gives the better satellite geometry and accurate user
positions, values greater than 5 suggest poor satellite geometry and least
accurate user positions.
Ideal satellite geometry has one satellite directly above the antenna and
remaining three satellites are spread by 120 degree apart.
Satellite Geometry 74
a) Ideal Satellite Geometry
Satellite Geometry 75
b) Poor Satellite Geometry
User Position Calculations With No Errors
Position calculation with no errors is given as
ρr= pseudorange(known),
x, y, z = satellite position coordinates (known),
X, Y, Z = user position coordinates (unknown),
where x, y, z, X, Y, Z are in the earth-centered, earth-fixed (ECEF) coordinate system.
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Contd…
Squaring both sides yields
where r equals the radius of earth and Crris the clock bias correction.
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Contd…
The four unknowns are (X, Y, Z, Crr).
position (x, y, z) is calculated from ephemeris data.
For four satellites, the above Eq becomes
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Contd…
With four unknown state vectors X, Y, Z and Crr
We can rewrite the four equations in matrix form as
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Contd…
Then we pre multiply both sides of above equation with M
-1
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User Velocity Calculations With No Errors
The equation in this case is given as
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Contd… 82
Contd…
The above equation is w.r.t one satellite,
Similarly the equation for 3 satellites is given as
83
Contd…
Uvis the User velocity
N is the Matrix
Pseudo range rate
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