Establishment of Absolute ITRF/WGS84
Coordinates in Dubai
Mohammed Abdulla Al-Zaffin, Head of Survey
Section, Dubai Municipality. Dubal, U.A.E.
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1.- INTRODUCTION
The present mapping system of Dubai is based on a
control system which has evolved since the foundation of the
United Arab Emirates till today. Extended over an area of
approximately 4,000 km2 it is composed mainly of two non
least squares adjusted triangulation networks, based on
which non connected traverses have been observed and merely
computed.
In 1990 a study was conducted with the purpose to assess the
quality of the above networks. This was conducted in terms
of Gross Error Detection based on Baarda's Data Snooping
strategy and computation of Internal and External
Reliability Parameters. The results of the investigation
were such that approximately 15% of the available
observations were found to be beyond the stochastical
boundary values. Moreover, the arrived Internal Reliability
Parameters were such that in certain areas of the network,
the influence of a non detected gross error in the
observations would have resulted in distortion of the
coordinate values in more than 9.00 meters.
In view of the above and with the purpose of establishing
and developing a Geographical Information System, the Survey
Section of Dubai Municipality decided to establish a new
control network fulfilling the high accuracy and reliability
requirements of the Geographical Information System as
envisaged.
In September 1990, the Survey Section received its first 2
GPS receivers along with the pre and post - processing
software, including a Least Squares Network Adjustment
program of GPS observations. Latter in 1992, the Section
acquired two additional receivers and updated software.
With the above equipment the Survey Section observed the
first order 3D GPS Geodetic Network composed of 62
monumented control points with distances between 5 to 10
Km.
All GPS measurements between the above mentioned monumented
points can be considered only as 3D vector in the space
which needs to be interconnected, adjusted and
geo-referenced to a chosen ellipsoid.
With regard to the chosen ellipsoid, this was, due to
obvious reasons, WGS/84. In relation with the adjustment and
georreferentiation of the above 3D free vectors, the absence
of other WGS/84 points I networks in the area or the
existence of precise and reliable ellipsoidal (Latitude and
Longitude) data capable to be transformed to WGS/84 values,
imposed limitations to the Geodetic project.
To overcome this inconvenience, an international campaign
was carried out as a joint venture between the Institute of
Applied Geodesy of Frankfurt (Germany) and the Survey
Section of Dubai Municipality with the aim to fix WGS/84
point coordinates within the Emirate of Dubai. This paper
summarizes this unique Geodetic project.
2.- THE CLARK 1880/ UTM NETWORK
2.1.- Description of the Network
The network used for the 1983 mapping of Dubai and its
subsequent development is based on 4 third order points
located in the SE corner of the Emirate. They are part of
what is remaining of the old Trucial Coast Countries 3rd.
order Geodetic Control System. This was setup by the British
Army at the end of the last century, beginning of the
present.
The development started during the years 70's due to a high
demand of control and mapping in a highly development epoch
of the Emirate.
It is composed of triangles, quadrilaterals and non related
/ non connected traverses which have been merely computed
and non least squares adjusted.
For the observations, different types of theodolites and
EDM's were used with different accuracy standards.
A priory, one can conclude that this network is non uniform,
non homogeneous.
As the above Trucial Coast points have their coordinates
based on the Ellipsoid of
Clark 1880, with planimetric coordinates computed in the UTM
Zone 40 Cartographic
System, the developed network for Dubai is also based on the
above reference.
Moreover, the computations were done in the UTM/ Zone 40
only with their
corresponding reductions.
2.2.- Geometric Problems of the Network
As mentioned in the introduction, during 1990 a research
was done in order to assess the geometric quality of the
network With this purpose Gross Error Detection based on
Baarda's Data Snooping Strategy was conducted. Also Internal
and External Reliability Parameters for each observation
were computed.
The associated statistic of Data Snooping is :

Following this procedure, computations of the wi
statistic were calculated for each observation of the net
and compared with the above critical value. As a result, as
mentioned in the introduction, approximately 15% (143) of
the observations do not passed the above test. This was due
mainly to the weak geometry the network has in some areas,
mainly in connection with the non - connected traverses.
With regard to the reliability parameters, they were
computed in terms of Boundary
Values (Internal Reliability) and the effect of the boundary
values on the adjusted
Coordinates (External Reliability). The used statistics were
:
Table 1
The above table shows that a maximum boundary value of
5'.49 can be expected for the observed directions and 0.785
m for the observed distances. This can produce a maximum
distortion on the final coordinates of 9.03 m.
The conclusions of this study was obviously that the network
is non homogeneous non precise and not reliable to be used
as a framework for the fliture GIS of Dubai.
3.- FIRST ORDER GEODETIC GPS NETWORK
In view of the above conclusion the Survey Section
decided to observe a new Geodetic Network which can flilfill
the accuracy requirements of the GIS of Dubai.
3.1.- GIS TOPOGRAPHIC REQUIREMENTS
During 1991 all Technical Departments of Dubai
Municipality set-up their base mapping accuracy requirements
for their different tasks, both in terms of pointing and
relative accuracy. After a deep study a decision was taken
regarding the mapping scale and projection system to be
used. These were as follows :
Projection Ellipsoid : WGS84
Cartographic Projection System : Local UTM with central
meridian located at 55deg20' with false Easting of 500,000
and scale factor K=1 This projection system is called Dubai
Local Transverse Mercator (DLTM)
Map Scale-1:1,000
Height Datum : MSL value determined at Port Rashid.
Hence the accuracy requirements of the new Geodetic
Network should commensurate with the accuracy requirements
of the above selected mapping scale and with the new
achieved accuracy of digital mapping technologies. This
means an absolute positional accuracy of 10 centimeters or
better and a relative accuracy of
1/100,000 or better.
Only GPS observations can fulfill the above requirements.
In this sense Dubai
Municipality acquired during -1991 the first GPS Trimble
4000 along the Pre and Post
Processing software. During 1993, two more receivers were
purchased.
3.2.- DESCRIPTION OF THE NETWORK
The first order Geodetic GPS Network is composed of 62
monumented points with distances between points ranging from
5 to 10 Km. The network is more dense in the city area with
distances between points from 3.5 to 5.0 Km. In the desert
area the distances between points are from 5 up to 20 Km.
Each baseline was planned in such a way to have a
satellite constellation of at least 5 satellites during the
observation time and a PDOP less than 7 Each line was
observed during 90 minutes with a sapling rate of 15 seconds
and an elevation cut-off angle of 15 degrees.
Carrier face observations with Li and L2 frequencies were
acquired and post processed using Trimvec Software and
recently with GP Survey from Trimble Navigation Ltd.
After post-processing accuracies of the order of 1/
300,000 or better were arrived for fix optimum solution.
4.- THE DUREF-95 PROJECT
At this stage of the observations, it should follow by
the corresponding Network
Adjustment. For this it is necessary to have control points
in the selected Geodetic -
Cartographic System (i.e., WGS84 - DLTM).
Obviously, the above control points of the original network
can not be used due to several reasons, namely :
1.- It was shown that it is non homogeneous, non accurate,
non reliable
2.- No possible transformation from the previous system
Clark 1880 - UTM Zone 40 to WGS84 - DLTM due to the absence
of points with coordinates in the latest system.
3. - No rigorous transformation such as the 7 parameters can
be applied due to the lack of knowledge of the geoid
undulations in the area (i.e. separation geoid - ellipsoid
in each network point).
4. - No good results can be expected from any transformation
due to the deformations of the Clarkl88O UTM network (See
chapter 2 above).
5.- Others.
In view of the above the only possibility to fix the GPS
network to the ellipsoid
WGS84 was via an International Geodetic GPS Campaign. This
was done as a joint
venture project between Dubai Municipality and the Institute
for Applied Geodesy
(IfAG) of Frankfurt - Germany.
Since the WGS84 datum do not satisfy the modern needs of
geodesy, the International Earth Rotation Service (IERS)
together with the International Association of Geodesy (IAG)
established the International Terrestrial Reference System
(ITRS) whose latest accomplishment is the ITRF93
(International Terrestrial Reference Frame 1993). This
satisfies the accuracy requirements of the modern Geodesy.
This is a geocentric system with an accuracy of +- 5cm and
has been defined by the scale and origin of satellite laser
ranging solutions and the 'ERS series of Earth Orientation
Parameters.
Within the accuracy level of the ITRF93, the velocity of the
used stations has to be taken into consideration since plate
tectonics velocity can be of several cm per year.
To this end, the International GPS Service for Geodynamics
(IGS) maintains a network of GPS permanent tracking stations
which is used for GPS orbit determination. These stations
are reference sites for the connection of individual
countries main networks to the ITRS. For the case of Dubai,
due to technical problems, receiver types deployed or too
large distances to the reference stations, for the DUREF95
campaign only the sites at Graz (Austria), Matera (Italy)
and Kitab (Uzbekistan) were used. The coordinates at the
above sites were fixed at the epoch 1995.1 and the
coordinates of the points in Dubai were deduced from them.
4.1.- DATA ACQUISITION AND PROCESSING
The data were acquired during January 1995 and are
summarized as follows:
- GPS Campaign in Dubai from 25 - January to 29 - January
1995
- 6 GPS Stations in Dubai (4 stations observed all 5
days)
- 3 IGS Reference Stations, i.e. Graz, Matera and Kitab
- Observations with TRIMBLE SSE receivers in Dubai
- Observations with ROGUE receivers at the reference
points
- Session length 24 hours
- All Sessions from 15.00 UT to 15.00 UT of the following
day
- Elevation cut-off angle 10 degrees
- Sampling rate 15 seconds (TRIMBLE), and 30 seconds (ROGUE)
receivers
Four main points were observed within main Dubai Emirate.
They were ET145, BPS, ET228 (Dubai Municipality Head Office)
and ET225. In addition 2 other stations were observed for a
few hours (ET 152 in Hatta - Dubai and FUG M3 in the Emirate
of Fujeira) with spares SSE receivers. No meteorological
observations were taken. The antennas were located on
tripods or pillar plates with tribrach (ET145, BPS) above
the markers.
The data reductions and computations were carried via the
use of the BERNESE software (IfAG) which forms the baselines
between pair of stations. The baselines were taken between
the IGS permanent reference stations and DM Headquarters,
point ET228, for the ITRS connection and from ET228 to the
local points. The Table 2 shows the baseline lengths.
|
From Station
|
To Station
|
Baseline length
|
|
Head Office
|
Graz
|
4175632.31m
|
|
|
Matera
|
3888599.49 m
|
|
|
Kitab
|
1875417.52 m
|
|
|
ET145
|
36631.66m
|
|
|
ET225
|
18508.70m
|
|
|
BP5
|
32531.13m
|
|
|
ET152
|
96657.22m
|
|
|
Fujeira
|
71944.18m
|
Table 2
The GPS data processing strategy was as follows:
- Computation of the complete network using the BERNESE
(IfAG) Software
- IGS Combined Orbit in ITRF-93 (GPS Weeks 0785 and
0786)
- Reference System ITRF-93, epoch 1995.1
- Pre-processing using 24 hours of -15 seconds interval
TRIMBLE S SE data
- Elevation-dependent phase center variation file
- Processing of double-difference measurements based on
ionosphere-free phase linear combination L3
- Float/fixed solution, ambiguity fixing for local network
only
- Standard troposphere model by Saastamoinen
- One troposphere parameter estimated every 2 hours for
every session
- Sigma values for troposphere parameter: 0.50 m absolute,
0.02 m relative
- Daily solutions for accuracy evaluation
- Final solution including all days with Graz, Matera and
Kitab
4.2.- RESULTS WITH REFERENCE TO ITRF93
The baselines to the IGS sites were of float solutions
only, i.e. the integer number of wavelengths could not be
fixed due to the long distances. The arrive rms of the
baselines were all uniform for all days, showing that the
data quality was good. The rms are ranging between 0.0021 m
and 0.0079 m. The only exemption was the point in Fujeira
where the signal-noise is high due to possible
radio-frequency disturbance of the near airport.
As mentioned above, the final adjustment was done in two
parts:
1) Ambiguity fixed solution with Graz, Matera and Kitab as
fixed points, only for stations which have been observed
during the 5 consecutive days, with the standard troposphere
model of Saatamoinen and estimation of -12 troposphere
zenith delay parameters per session (one each 2 hours) for
all stations
2) A separate adjustment for the two points (Hatta and
Fujeira) which were observed for a few hours only. This
adjustment were carried out without fixed points but using
the a-priori sigma values for the coordinates of the station
point BPS (10cm for all three coordinates).
a) Fujeira: float solution (without fixing of ambiguities
and without tropospheric model due to small observation
time)
b) Hatta: fixed solution (with fixing of ambiguities and
without tropospheric model due to small observation time)
The final results with the arrived accuracies are shown
in the Table 3. (32K GIF Image File)
4.3.- ACCURACY EVALUATION
The following table (Table 4 -
64K GIF Image File) shows a comparison of the arrived
accuracy for each observation day.
The standard deviations of the 3 components shown in the
table displays the repeatability with respect to the IGS
global tracking network. Hence they include the remaining
orbit errors and other systematic effects of different days.
The positional accuracy is about 1 cm, being the height (as
expected) around 2 cm. The overall accuracy estimation is
the above 1cm plus the uncertainty of ITRF frame which is
5cm. Hence the final accuracy of the ITRF points of Dubai is
6 cm.
In order to assess the internal precision and quality of the
data, the day by day results were transformed (7 parameters)
to the first day results. The residuals of these
transformations are shown in the Tables 5 and 6. Table S
shows residuals of single days' solutions after 7 parameters
transformation to the first day. Table 6 gives the
comparison of row results for single days in the local
network, i.e. ET228 DM Head Office as a fix point.
The results of the tables shows that the systematic effects
from day to day are eliminated and the Standard deviations
are bellow one centimeter in all three components. This once
again shows the high quality of the data and their
consistency.
Table 6 shows the arrived standard deviations of the local
network on which the connections to the IGS stations are not
considered and the point ET228 (DM Head Office) is being
kept fixed. The accuracy is such that the uncertainties are
well bellow
-1 cm for all components.
Due to the short observation times and the disturbed data at
Fujeira, the points in Hatta and Fujeira are less accurate,
especially for the height component.
Table 5. Comparison of Single days' solutions after 7
parameter Helmer transformation to the first day.
(96K GIF Image File)
Table 6. Comparison of row results for single days in the
local Network. ET228 Head Office fixed.
(64K GIF Image File)
5.- CONCLUSIONS AND RECOMMENDATIONS
The DUREF-95 campaign determined the geocentric
coordinates of points in Dubai Emirate in the ITRF93. The
overall uncertainty of the coordinates were estimated to be
about 5 centimeters, being the internal precision in the
range of the 5 millimeters.
The limiting factor of the accuracy was the global
distribution of the IGS tracking sites and the large
distance to the next IGS site. Nevertheless, the obtained
results comply very well with the International standards
required for GIS and moreover with the topographical
requirements of Dubai Municipality GIS project.
The stations of the Dub ai net relative to each other can be
taken as error free reference
points for the adjustment of the observed GPS Network (i.e.
62 monumented points).
This was the way the adjustment was conducted arriving to a
standard deviation of
8 centimeters as demanded by the topographical requirements
of the GIS Project of
Dubai.
6.- REFERENCES
1.- Seeger H., et al., DUREF-95 report. Institut fuer
Angewandte Geodaesy. Frankfurt Germany, -18.8.1995
2.- Seeger H., (-1994), EUREF. The New European Reference
Datum and its relationship to WGS84. FIG XX Congress,
Commission 5. Melbourne, Australia, March 1994.
3.- Baarda W. (1968), Statistical Concepts in Geodesy. Dutch
Geodetic Commission
4.- Baarda W. (-1969), Accuracy and Reliabilty of
Observations. Duch Geodetic Commission.
5.- Passini, R. (-1985), Error Detection and Reliability in
Aerial-triangulation and Geodetic Networks as applied to
Project Parana Medio (Argentina). Ph.D. Dissertation. IPI,
University of Hannover, Germany.
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