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IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995
INFLUENCE OF DATABASES ACCURACY
ON RAY-TRACING-BASED-PREDICTION IN URBAN MICROCELLS
Karim Rizk*, Jean-Frédéric Wagen†, Saïd Khomri* and Fred Gardiol*
*LEMA, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland (rizk@lemahp6.epfl.ch)
†Swiss Telecom PTT, Mobile Communication FE 421, 3000 Bern 29, Switzerland (wagen_j@vptt.ch)
Abstract—The databases required for ray-tracing-based-
prediction in urban microcellular environments include those for
the building layout, the electrical characteristics of the buildings,
and for the base station (locations, antennas, power, etc.). The
effects of inaccuracies in these databases are presented and
analyzed by comparing the computed results to measurements.
The results presented here show that acceptable predictions can
be computed but care must be taken a) to use an accurate vector
database, b) to precisely place the base station location with
respect to the building corners, and c) to adapt the reflection
coefficient for the given area.
I. INTRODUCTION
Path loss predictions in urban microcellular environments are
required for better planning of emerging high capacity cellular
networks. The prediction results presented here are based on
ray tracing using the image method. Multiple specular
reflections and single perfectly absorbing wedge diffraction
are considered. The ray tracing method is briefly presented in
Section 2 [1,2].
The predictions require the use of the following data: 1) the
building layout in form of vectors describing the buildings,
2) the base station location, 3) the base station antenna
characteristics, 4) the building electrical characteristics (For
the ray tracing method used here, the permittivity and the
conductivity or a scalar reflection coefficient are required)
and, 5) the frequency.
These data can be stored in databases that may present some
inaccuracies. The effects of inaccuracies in the vectored
building layout are analyzed in Section 3 where prediction
results are compared to measurements which are described in
[2]. Then, Section 4 shows by means of an example the
noticeable effects due to an inaccuracy in the base station
location. Other effects, due for example to the antenna pattern
or antenna orientation, are not considered here. The effect of
inaccuracies in choosing the proper reflection coefficients is
presented in Section 5. Finally, the conclusions presented in
Section 6 recall the significance of the various databases
required for the predictions in urban microcellular
environments.
II. MODEL DESCRIPTION [1,2]
The propagation predictions presented here are based on
modeling the radio wave propagation using image theory and
ray tracing.
In the results presented, rays including up to 8 multiple
reflections or 7 multiple reflections and one diffraction are
taken into account. Ground reflections, rays over rooftops,
and scattering effects are neglected.
The reflected wave fields are computed according to the well
known formula for the Fresnel reflection coefficient for
vertical polarisation [e.g., 3]. In the results presented below,
unless otherwise noted, the electrical parameters attributed to
the building walls were chosen εr = 5 for the relative
permittivity, and σ = 0.0001 [S/m] for the conductivity.
These values, reasonable for building material, were found to
give the best fit between the prediction and the
measurements.
The diffracted wave fields are computed using the diffraction
coefficient given in [4], which is valid for a perfectly
absorbing wedge. Care was taken to saturate in an
appropriate manner the discontinuity in the expression.
III. BUILDING LAYOUT DATABASE
The prediction model described above requires the two-
dimensional building layout of the urban area by means of
vectors describing the building walls. In Switzerland, no such
vectored building database readily exits in all cities.
Therefore, as a first trial, we manually vectorized a city map
of the area. We also tried a manual vectorisation of a very
precise cadastre map. To ease the manual vectorization and
to mitigate the difficulties in obtaining the cadastre maps of
some cities, a semi-automatic vectorization of scanned
1:25000 maps was considered.
A. Vectors from the city map
The vectors obtained by hand digitizing a regular city map
are presented in Fig. 1. Streets are expected to have a wrong
IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995
width, since the width of the streets are drawn for clarity, i.e.,
to represent the importance of the street and to allow the
street name to be written in it. Also, details of some buildings
are omitted.
Fig. 4 shows a comparison in Wiesen Str. between
predictions and measurements. The numerous peaks
predicted to appear along the street are due to multiple
reflections which do not occur in reality. For example the
observation points P1 and P2 in Fig. 1 are considered. The 3-
time reflected ray reaching P1 is predicted (peak at
d = 370 m in Fig. 4) because of the inaccurate city map
representation of the buildings but does not exist in reality.
Also, the results presented in the next section shows that this
3-time reflected ray does not exist anymore when the
building layout is more accurate (a reflection is replaced by a
diffraction). Similarly, the ray reaching P2 exists only in the
prediction (d = 110 m) because of the inaccurate
representation of the building Bldg. 2 in Fig. 1.
B. Vectors from the cadastre map
The cadastre map is available only on paper. The vectors
shown in Fig. 2 were obtained using a digitizing tablet. The
resulting accuracy is about half a meter on the location of the
building corner.
The comparison between predictions and measurements on
Wiesen Str. is shown in Fig. 5. The source location is shown
in Fig. 2 by a black dot. A reasonable agreement between
measurements and prediction is observed. The comparison of
the dominant ray reaching P2 in Fig. 1 and 2 explains the
differences between Fig. 4 and 5 for d around 100 m. Poor
predicted results are obtained for d between 160 m and
280 m. In particular, the peak at d = 240 m is not predicted.
These discrepancies have to be further investigated.
The dominant ray reaching P1 in the cadastre map (Fig. 2) is
diffracted once and reflected twice. In the city map the ray
reaching P1 is reflected 3-times. Thus, much less energy
reaches the end of the street (d > 300 m), and a better
agreement with the measurements is found for the predictions
using the cadastre map.
C. Vectors from 1:25000 Maps
Maps with a 1:25000 scale are available in Switzerland in
scanned format. The vectorization presented here used the
three following steps[5]: 1) automatic recognition of
buildings (to separate text, sidewalk, railways, etc.), 2)
manual correction of errors from the automatic recognition,
3) automatic vectorization. Fig. 3 shows the resulting
vectored 1:25000 map.
A comparison between a prediction and measurements is
shown in Fig. 6. For d>320 m, the 20 dB discrepancy is due
to inaccuracies in the buildings recognition. In fact, because
of the representation of the scanned map, the sidewalk could
not be separated from the buildings, thus leading to a
narrower street (especially for Bldg. 1 to Bldg. 5). Also the
prediction for 150 m<d<250 m underestimates the prediction.
This is due to the fact that buildings Bldg. 6 and Bldg. 7 are
almost joined together because of an error in the automatic
building recognition.
D. Effect of passage-way
Fig. 7 shows comparison between predictions and
measurements on Rodtmatt Str., i.e., another parallel street.
The prediction considers the cadastre map (Fig. 2) and the
source location indicated by the black dot. The peak which
appears in the measurements at d=220 m is due to a passage-
way through the building 1 which was detected only when
carefully examining the building. This demonstrates the
importance of a precise building description and illustrates a
required feature for accurate propagation prediction.
IV. BASE STATION LOCATION
Fig. 8 shows comparison between measurement and two
predictions on Wiesen Str. computed with two different
source locations. The two source locations are indicated by
the black dot and the cross in Fig. 2. Although the two
sources are separated by about three meters only, prediction
results are noticeably different, especially for d = 100 m.
Sensitivity to the source location is due to the fact that the
source is surrounded by street openings. This comparison
demonstrates the effects of specular reflections, which could
be verified in practice in future measurement campaigns.
V. REFLECTION COEFFICIENT
Fig. 9 compares four predicted results using four different
reflection coefficients. It is observed that the best agreement
with the measurements are obtained for a relative
permittivity of 5 (thick solid line) or for a constant reflection
coefficient of 0.5 (thin dashed line). A lower permittivity of 2
(thin solid line) leads to an almost constant shift of about 15
dB away from the peaks. Where this shift occurs, multiple
specular reflections dominate. Using a constant reflection
coefficients of 0.25 (thick dashed line) and of 0.5 (thin
dashed line) leads to prediction results similar to those
obtained with an E-polarized reflection coefficients. Further
investigations should indicate to what extent such similarities
apply in general.
VI. CONCLUSION
The effects of some inaccuracies in the databases required
for ray-tracing-based-prediction in urban microcellular
environments have been presented. The databases considered
included those for the building layout, the base station
location, and the electrical characteristics of the buildings.
Predicted results were presented and analyzed by comparison
IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995
to measurements. Three different maps were used to produce
the building vector data used for the prediction, namely a
city map, a cadastre map and a 1:25000 map. The results
improved with the accuracy of the geometry, giving the best
results for the cadastre map. However, the remaining
discrepancies might be explained either by the fact that the
ray-tracing-based-model does not yet consider scattering, or
by unidentified errors in the building maps. It was also shown
that some building features like passage ways not indicated
on any map can influence the propagation.
The effect of the base station location is predicted to be very
important when the base station is close to the building
corners or close to an opening in a row of buildings. This
remains to be demonstrated by additional measurements
The effect of varying the reflection coefficient were briefly
presented. It is clear that the value of the reflection
coefficient can be used to adjust somewhat the fit between
the predictions and the measurements. It remains to
determine how local this adjustment should be [2].
ACKNOWLEDGMENT
The authors would like to thank Prof. Carosio, Mr.
Stengele, Mr. Nebiker, and Mr. Blaser, from the Swiss
Federal Institute of Technology Zürich for their work
allowing the automated generation of vectored maps.
REFERENCES
[1] J. F. Wagen and K. Rizk, “Simulation of radio wave propagation in
urban microcellular environments”, Proceedings IEEE International
Conference on Universal Personal Communications ICUPC’93, Ottawa,
Canada, pp. 595-599, Oct. 1993. Also in COST 231 TD (93) 104.
[2] K. Rizk, J.-F. Wagen and F. Gardiol, “Ray Tracing Based Path Loss
Prediction In Two Microcellular Environments”, Proceedings IEEE
PIMRC’94, September 18-23, 1994, The Hague, Netherlands.
[3] Gardiol, F.E., Electromagnétisme, Traité d'Electricité, Vol. III, Editions
Georgi, St-Saphorin Switzerland, 1977. Sect. 6.6.
[4] Felsen, L. B., and N. Marcuvitz, “Radiation and Scattering of Waves'',
Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1973. Sec. 6.4.
[5] Nebiker, S., and A. Carosio, “Automatic extraction and structuring of
objects from scanned topographical maps”, Proceedings SPRS Symposium
on Primary Data Acquisition and Evaluation, Vol. 30, Part 1, Como, Italy,
1994.
.
Wiesen Str
P1
P2
Bldg 1
Bldg 2
0 100 m
Fig. 1. City map. The black dot indicates the source location. The thick line represents the observation route driven in the
direction indicated by the arrow. The 3-time reflected rays reaching the two points P1 and P2 are the dominant rays.
IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995
Wiesen Str
P1
P2
Bldg 1
Rodmatt Str
0 100 m
Fig. 2. Cadastre map. The black dot and the cross indicate two source locations. The thick lines represent the observation
routes driven in the direction indicated by the arrow. Two examples of dominant ray are shown: the diffracted-once
and reflected-twice rays reaching P1 and P2.
5 4
3
2
Bldg 1
6
7
0 100 m
Wiesen Str
Fig. 3. 1:25000 map. The source location is indicated by the black dot. The thick line represents the observation route driven
in the direction indicated by the arrow.
IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995
-160
-150
-140
-130
-120
-110
-100
-90
-80
0 50 100 150 200 250 300 350 400
Measurement
Prediction
-Pathloss[dB]
d [m] on Wiesen
Fig. 4. Comparison on Wiesen Str. between
measurements (thin line) and predictions (thick
line) using the city map as the vectors database.
-160
-150
-140
-130
-120
-110
-100
-90
-80
0 50 100 150 200 250 300 350 400
Measurement
Prediction
-Pathloss[dB]
d [m] on Wiesen
Fig. 5. Comparison on Wiesen Str. between
measurements (thin line) and predictions (thick
line) using the cadastre map as the vectors
database.
-160
-150
-140
-130
-120
-110
-100
-90
-80
0 50 100 150 200 250 300 350 400
Measurement
Prediction
-Pathloss[dB]
d [m] on Wiesen
Fig. 6. Comparison on Wiesen Str. between
measurements (thin line) and predictions (thick
line) using the 1:2500 map as the vectors database.
-160
-150
-140
-130
-120
-110
-100
-90
-80
0 100 200 300 400
Measurement
Prediction
-Pathloss[dB]
d [m] on Rodtmatt
Fig. 7. Comparison on Rodtmatt Str. between
measurements (thin line) and predictions (thick
line) using cadastre map as the vectors database.
-140
-130
-120
-110
-100
-90
-80
0 50 100 150 200 250 300 350 400
Measurement
Prediction •
Prediction +
-Pathloss[dB]
d [m] on Weisen
Fig. 8. Comparison on Wiesen Str. between two
predictions (thick solid line and thick dashed line)
for two base station locations (black dot and cross
in Fig. 3, respectively). The cadastre map is used
as the vectors database.
-160
-150
-140
-130
-120
-110
-100
-90
-80
0 50 100 150 200 250 300 350 400
Prediction
Prediction
Prediction
Prediction
-Pathloss[dB]
d [m] on Wiesen
R = 0.25
ε r = 2
εr= 5
R = 0.5
Fig. 9. Comparison on Wiesen Str. between four
predictions (thin solid line, thick solid line, and
thick dashed line, thin dashed line) for four
reflection coefficients (εr = 2, σ = 0.0001 [S/m],
εr = 5, σ = 0.0001 [S/m], R = 0.25 and R = 0.5,
respectively). The cadastre map is used as the
vectors database.
IEEE VTC Chicago 1995

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IEEE VTC Chicago 1995

  • 1. IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995 INFLUENCE OF DATABASES ACCURACY ON RAY-TRACING-BASED-PREDICTION IN URBAN MICROCELLS Karim Rizk*, Jean-Frédéric Wagen†, Saïd Khomri* and Fred Gardiol* *LEMA, Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland (rizk@lemahp6.epfl.ch) †Swiss Telecom PTT, Mobile Communication FE 421, 3000 Bern 29, Switzerland (wagen_j@vptt.ch) Abstract—The databases required for ray-tracing-based- prediction in urban microcellular environments include those for the building layout, the electrical characteristics of the buildings, and for the base station (locations, antennas, power, etc.). The effects of inaccuracies in these databases are presented and analyzed by comparing the computed results to measurements. The results presented here show that acceptable predictions can be computed but care must be taken a) to use an accurate vector database, b) to precisely place the base station location with respect to the building corners, and c) to adapt the reflection coefficient for the given area. I. INTRODUCTION Path loss predictions in urban microcellular environments are required for better planning of emerging high capacity cellular networks. The prediction results presented here are based on ray tracing using the image method. Multiple specular reflections and single perfectly absorbing wedge diffraction are considered. The ray tracing method is briefly presented in Section 2 [1,2]. The predictions require the use of the following data: 1) the building layout in form of vectors describing the buildings, 2) the base station location, 3) the base station antenna characteristics, 4) the building electrical characteristics (For the ray tracing method used here, the permittivity and the conductivity or a scalar reflection coefficient are required) and, 5) the frequency. These data can be stored in databases that may present some inaccuracies. The effects of inaccuracies in the vectored building layout are analyzed in Section 3 where prediction results are compared to measurements which are described in [2]. Then, Section 4 shows by means of an example the noticeable effects due to an inaccuracy in the base station location. Other effects, due for example to the antenna pattern or antenna orientation, are not considered here. The effect of inaccuracies in choosing the proper reflection coefficients is presented in Section 5. Finally, the conclusions presented in Section 6 recall the significance of the various databases required for the predictions in urban microcellular environments. II. MODEL DESCRIPTION [1,2] The propagation predictions presented here are based on modeling the radio wave propagation using image theory and ray tracing. In the results presented, rays including up to 8 multiple reflections or 7 multiple reflections and one diffraction are taken into account. Ground reflections, rays over rooftops, and scattering effects are neglected. The reflected wave fields are computed according to the well known formula for the Fresnel reflection coefficient for vertical polarisation [e.g., 3]. In the results presented below, unless otherwise noted, the electrical parameters attributed to the building walls were chosen εr = 5 for the relative permittivity, and σ = 0.0001 [S/m] for the conductivity. These values, reasonable for building material, were found to give the best fit between the prediction and the measurements. The diffracted wave fields are computed using the diffraction coefficient given in [4], which is valid for a perfectly absorbing wedge. Care was taken to saturate in an appropriate manner the discontinuity in the expression. III. BUILDING LAYOUT DATABASE The prediction model described above requires the two- dimensional building layout of the urban area by means of vectors describing the building walls. In Switzerland, no such vectored building database readily exits in all cities. Therefore, as a first trial, we manually vectorized a city map of the area. We also tried a manual vectorisation of a very precise cadastre map. To ease the manual vectorization and to mitigate the difficulties in obtaining the cadastre maps of some cities, a semi-automatic vectorization of scanned 1:25000 maps was considered. A. Vectors from the city map The vectors obtained by hand digitizing a regular city map are presented in Fig. 1. Streets are expected to have a wrong
  • 2. IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995 width, since the width of the streets are drawn for clarity, i.e., to represent the importance of the street and to allow the street name to be written in it. Also, details of some buildings are omitted. Fig. 4 shows a comparison in Wiesen Str. between predictions and measurements. The numerous peaks predicted to appear along the street are due to multiple reflections which do not occur in reality. For example the observation points P1 and P2 in Fig. 1 are considered. The 3- time reflected ray reaching P1 is predicted (peak at d = 370 m in Fig. 4) because of the inaccurate city map representation of the buildings but does not exist in reality. Also, the results presented in the next section shows that this 3-time reflected ray does not exist anymore when the building layout is more accurate (a reflection is replaced by a diffraction). Similarly, the ray reaching P2 exists only in the prediction (d = 110 m) because of the inaccurate representation of the building Bldg. 2 in Fig. 1. B. Vectors from the cadastre map The cadastre map is available only on paper. The vectors shown in Fig. 2 were obtained using a digitizing tablet. The resulting accuracy is about half a meter on the location of the building corner. The comparison between predictions and measurements on Wiesen Str. is shown in Fig. 5. The source location is shown in Fig. 2 by a black dot. A reasonable agreement between measurements and prediction is observed. The comparison of the dominant ray reaching P2 in Fig. 1 and 2 explains the differences between Fig. 4 and 5 for d around 100 m. Poor predicted results are obtained for d between 160 m and 280 m. In particular, the peak at d = 240 m is not predicted. These discrepancies have to be further investigated. The dominant ray reaching P1 in the cadastre map (Fig. 2) is diffracted once and reflected twice. In the city map the ray reaching P1 is reflected 3-times. Thus, much less energy reaches the end of the street (d > 300 m), and a better agreement with the measurements is found for the predictions using the cadastre map. C. Vectors from 1:25000 Maps Maps with a 1:25000 scale are available in Switzerland in scanned format. The vectorization presented here used the three following steps[5]: 1) automatic recognition of buildings (to separate text, sidewalk, railways, etc.), 2) manual correction of errors from the automatic recognition, 3) automatic vectorization. Fig. 3 shows the resulting vectored 1:25000 map. A comparison between a prediction and measurements is shown in Fig. 6. For d>320 m, the 20 dB discrepancy is due to inaccuracies in the buildings recognition. In fact, because of the representation of the scanned map, the sidewalk could not be separated from the buildings, thus leading to a narrower street (especially for Bldg. 1 to Bldg. 5). Also the prediction for 150 m<d<250 m underestimates the prediction. This is due to the fact that buildings Bldg. 6 and Bldg. 7 are almost joined together because of an error in the automatic building recognition. D. Effect of passage-way Fig. 7 shows comparison between predictions and measurements on Rodtmatt Str., i.e., another parallel street. The prediction considers the cadastre map (Fig. 2) and the source location indicated by the black dot. The peak which appears in the measurements at d=220 m is due to a passage- way through the building 1 which was detected only when carefully examining the building. This demonstrates the importance of a precise building description and illustrates a required feature for accurate propagation prediction. IV. BASE STATION LOCATION Fig. 8 shows comparison between measurement and two predictions on Wiesen Str. computed with two different source locations. The two source locations are indicated by the black dot and the cross in Fig. 2. Although the two sources are separated by about three meters only, prediction results are noticeably different, especially for d = 100 m. Sensitivity to the source location is due to the fact that the source is surrounded by street openings. This comparison demonstrates the effects of specular reflections, which could be verified in practice in future measurement campaigns. V. REFLECTION COEFFICIENT Fig. 9 compares four predicted results using four different reflection coefficients. It is observed that the best agreement with the measurements are obtained for a relative permittivity of 5 (thick solid line) or for a constant reflection coefficient of 0.5 (thin dashed line). A lower permittivity of 2 (thin solid line) leads to an almost constant shift of about 15 dB away from the peaks. Where this shift occurs, multiple specular reflections dominate. Using a constant reflection coefficients of 0.25 (thick dashed line) and of 0.5 (thin dashed line) leads to prediction results similar to those obtained with an E-polarized reflection coefficients. Further investigations should indicate to what extent such similarities apply in general. VI. CONCLUSION The effects of some inaccuracies in the databases required for ray-tracing-based-prediction in urban microcellular environments have been presented. The databases considered included those for the building layout, the base station location, and the electrical characteristics of the buildings. Predicted results were presented and analyzed by comparison
  • 3. IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995 to measurements. Three different maps were used to produce the building vector data used for the prediction, namely a city map, a cadastre map and a 1:25000 map. The results improved with the accuracy of the geometry, giving the best results for the cadastre map. However, the remaining discrepancies might be explained either by the fact that the ray-tracing-based-model does not yet consider scattering, or by unidentified errors in the building maps. It was also shown that some building features like passage ways not indicated on any map can influence the propagation. The effect of the base station location is predicted to be very important when the base station is close to the building corners or close to an opening in a row of buildings. This remains to be demonstrated by additional measurements The effect of varying the reflection coefficient were briefly presented. It is clear that the value of the reflection coefficient can be used to adjust somewhat the fit between the predictions and the measurements. It remains to determine how local this adjustment should be [2]. ACKNOWLEDGMENT The authors would like to thank Prof. Carosio, Mr. Stengele, Mr. Nebiker, and Mr. Blaser, from the Swiss Federal Institute of Technology Zürich for their work allowing the automated generation of vectored maps. REFERENCES [1] J. F. Wagen and K. Rizk, “Simulation of radio wave propagation in urban microcellular environments”, Proceedings IEEE International Conference on Universal Personal Communications ICUPC’93, Ottawa, Canada, pp. 595-599, Oct. 1993. Also in COST 231 TD (93) 104. [2] K. Rizk, J.-F. Wagen and F. Gardiol, “Ray Tracing Based Path Loss Prediction In Two Microcellular Environments”, Proceedings IEEE PIMRC’94, September 18-23, 1994, The Hague, Netherlands. [3] Gardiol, F.E., Electromagnétisme, Traité d'Electricité, Vol. III, Editions Georgi, St-Saphorin Switzerland, 1977. Sect. 6.6. [4] Felsen, L. B., and N. Marcuvitz, “Radiation and Scattering of Waves'', Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1973. Sec. 6.4. [5] Nebiker, S., and A. Carosio, “Automatic extraction and structuring of objects from scanned topographical maps”, Proceedings SPRS Symposium on Primary Data Acquisition and Evaluation, Vol. 30, Part 1, Como, Italy, 1994. . Wiesen Str P1 P2 Bldg 1 Bldg 2 0 100 m Fig. 1. City map. The black dot indicates the source location. The thick line represents the observation route driven in the direction indicated by the arrow. The 3-time reflected rays reaching the two points P1 and P2 are the dominant rays.
  • 4. IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995 Wiesen Str P1 P2 Bldg 1 Rodmatt Str 0 100 m Fig. 2. Cadastre map. The black dot and the cross indicate two source locations. The thick lines represent the observation routes driven in the direction indicated by the arrow. Two examples of dominant ray are shown: the diffracted-once and reflected-twice rays reaching P1 and P2. 5 4 3 2 Bldg 1 6 7 0 100 m Wiesen Str Fig. 3. 1:25000 map. The source location is indicated by the black dot. The thick line represents the observation route driven in the direction indicated by the arrow.
  • 5. IEEE 45th Vehicular Technology Conference, Chicago, USA, July 1995 -160 -150 -140 -130 -120 -110 -100 -90 -80 0 50 100 150 200 250 300 350 400 Measurement Prediction -Pathloss[dB] d [m] on Wiesen Fig. 4. Comparison on Wiesen Str. between measurements (thin line) and predictions (thick line) using the city map as the vectors database. -160 -150 -140 -130 -120 -110 -100 -90 -80 0 50 100 150 200 250 300 350 400 Measurement Prediction -Pathloss[dB] d [m] on Wiesen Fig. 5. Comparison on Wiesen Str. between measurements (thin line) and predictions (thick line) using the cadastre map as the vectors database. -160 -150 -140 -130 -120 -110 -100 -90 -80 0 50 100 150 200 250 300 350 400 Measurement Prediction -Pathloss[dB] d [m] on Wiesen Fig. 6. Comparison on Wiesen Str. between measurements (thin line) and predictions (thick line) using the 1:2500 map as the vectors database. -160 -150 -140 -130 -120 -110 -100 -90 -80 0 100 200 300 400 Measurement Prediction -Pathloss[dB] d [m] on Rodtmatt Fig. 7. Comparison on Rodtmatt Str. between measurements (thin line) and predictions (thick line) using cadastre map as the vectors database. -140 -130 -120 -110 -100 -90 -80 0 50 100 150 200 250 300 350 400 Measurement Prediction • Prediction + -Pathloss[dB] d [m] on Weisen Fig. 8. Comparison on Wiesen Str. between two predictions (thick solid line and thick dashed line) for two base station locations (black dot and cross in Fig. 3, respectively). The cadastre map is used as the vectors database. -160 -150 -140 -130 -120 -110 -100 -90 -80 0 50 100 150 200 250 300 350 400 Prediction Prediction Prediction Prediction -Pathloss[dB] d [m] on Wiesen R = 0.25 ε r = 2 εr= 5 R = 0.5 Fig. 9. Comparison on Wiesen Str. between four predictions (thin solid line, thick solid line, and thick dashed line, thin dashed line) for four reflection coefficients (εr = 2, σ = 0.0001 [S/m], εr = 5, σ = 0.0001 [S/m], R = 0.25 and R = 0.5, respectively). The cadastre map is used as the vectors database.