gps processing techniques & some applications

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Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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PROCESSING TECHNIQUES

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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PSEUDO-RANGE PROCESSING

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•It is a measure of the range, or distance, between the

GPS receiver and the GPS satellite

OR

•It is the time shift required to line up a replica of the code

generated in the receiver with the received code from the

satellite multiplied by the speed of light

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•Either the P-code or the C/A-code can be used

for measuring the pseudo-range

•When the PRN code is transmitted from the satellite,

the receiver generates an exact replica of that code.

•Pseudo-ranges are measured by a correlation detector

that controls a delay lock loop which maintains the

alignment (correlation peak) between the receiver-

generated code replica and the actual incoming code

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•Let the satellite sends a signal at a certain time tsi

•Signal will be received later at time tu

•The distance between the user and the satellite i

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Carrier-phase measurements

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•Carrier beat phase is the phase of the signal which

remains when the incoming Doppler-shifted satellite

carrier is differenced (beat) with the constant

frequency generated in the receiver.

•The ranges to the satellites can be obtained through

the carrier phases.

•The precision of carrier beat phase measurements is

much higher than the precision of code pseudo-ranges

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•There is, however, one problem. The carriers are just

pure sinusoidal waves, which means that all cycles look

the same.

•when it is switched on, cannot determine the total number

of the complete cycles between the satellite and receiver.

It can only measure a fraction of a cycle very accurately

(less than 2 mm),

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•The initial number of complete cycles remains unknown,

this is known as the initial cycle ambiguity, or the ambiguity

Bias

•If the initial cycle ambiguity parameters are resolved,

accurate range measurements can be obtained,

which lead to accurate position determination

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Ambiguity-Resolution Techniques

•Centimeter-level positioning accuracy could be achieved

with the carrier-phase observables.

• This requires successful determination of the initial

integer ambiguity parameters, This process is commonly

known as ambiguity resolution.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•Earlier high-precision GPS relative positioning with

carrierphase observables was carried out using long

observational time spans (typically a few hours)

•This allows for the receiver-satellite geometry to

change considerably, which helps in separating the

ambiguity parameters from the baseline solution

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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The correct integer values were simply obtained by

rounding off the real-valued numbers to the nearest

Integers.

•But this method is very time consuming.

•To over come this two methods are used:-

1. Receiver initialization

2. Antenna swap methods

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Receiver initialization

•If the base line is known, The ambiguity parameters are

determined by simply occupying the two end points of the

known baseline with the base and the rover receivers

for a short period of time.

•Than the rover receiver can move to the points to be

surveyed

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Antenna swap methods

•It used for a fast and reliable determination of

the initial ambiguity parameters.

•Initially receiver is set over the known point while setting

up the rover within a few meters from it

•About 1-minute simultaneous GPS data is then to be

collected at both receivers.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•After the data has been collected, the two Antennas are

exchanged.

•With this new setup, another simultaneous 1-minuteGPS

data, at the previous rate, is collected by both receivers.

•Then the receivers are returned to their original setup

•Finally the data is downloaded into the PC processing

software

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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On-the-fly ambiguity resolution

•Initially base and rover measurements are combined in

the double differenced mode and an initial adjustment

•Outcome of this initial adjustment is an initial rover

position along with estimates (real values) for the

ambiguity parameters and their uncertainty values,

or the covariance matrix.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•This matrix can be represented geometrically to form a

region, known as the confidence region, around the

estimated real-value ambiguity parameter

•The confidence region takes the shape of an ellipse if the

number of the estimated parameters is two, and an

ellipsoid if it is three. For more than three, a

hyperellipsoid is obtained

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Dilution of Precision (DOP)

•DOP is measure of the geometry of the visible satellite

constellation.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Good DOP value is to have one satellite directly above and

the other three evenly spaced around the receiver and

elevated to about 25 to 30 degrees

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•When the satellites are widely spaced, the overlap area of

the two zones of possible satellite range error is relatively

small, called the “area of positional ambiguity.

•It result in a good, or low Dilution of Precision value.

When the satellites are closely spaced, the overlap area of

the two zones of possible satellite range error is

considerably larger

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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The overall GDOP, or Geometric Dilution of Precision

includes:

PDOP, or Precision Dilution of Precision, is the dilution of

precision in three dimensions.

HDOP, or Horizontal Dilution of Precision, is the dilution of

precision in two dimensions horizontally

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•VDOP, or Vertical Dilution of Precision, is the dilution of

Precision in one dimension, the vertical

•TDOP, or Time Dilution of Precision, is the dilution of

Precision with respect to time.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Applications

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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GPS Surveying

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•Surveying means precision positioning’

•This kind of data collection might include property lines

or construction surveying.

•GPS can survey points in minutes that conventional

surveys might require hours or even days to perform.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Geographical positioning

GP means attaching coordinates to objects of interest: e.g.,

control monument, gravity data point

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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IMPACT OF GPS ON CONTROL NETWORKS

A control network is a set of monumented points with

Coordinates attached to them

The aim of a control network is to transfer coordinates

to other features, that is, to allow positioning of other

features with respect to the control points.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Wt GPS now possible to establish a control point anywhere

without the necessity of having to connect it to already

existing control points through chains of intervisible points.

•the necessity of having any control points at

all is disappearing.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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Height & Geoid determination

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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•GPS can naturally provide heights and/or height

differences above a selected ellipsoid.

•orthometric heights can be measured accurately by

geometric levelling techniques

However, this is a slow and expensive process a direct

and accurate measure of the geoid can be obtained by

N=h-H.

Vrince Vimal,CSED BAHIR DAR UNIVERSITY

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A-4,, Least square methods, Relation positioning,

Ground transportation, orbit determination

climate research

Thank you

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