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Introduction
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The
wave propagation inside buildings is characterized by multi-path
propagation. Empirical models like the Multi Wall Model do not consider propagation phenomena
like reflection, wave guiding effects in corridors and diffractions at
vertical or horizontal wedges. Ray optical models consider these
effects.
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Ray
Optical Propagation Models
There are two ray optical approaches: Ray Launching and Ray Tracing.
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Ray Tracing
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Ray Launching
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With
ray tracing, the received power at each receiver pixel R is computed
independently of all other receiver pixels.
For the determination of
reflected and diffracted rays, images of the transmitter are computed,
i.e. the
image of the transmitter (T) relative to the the reflecting plane (T'
or T'').
This leads to a very high accuracy - because all
relevant objects (also all diffraction wedges) are always considered
for the selection of interactions.
WinProp
offers two different Ray Tracing Models:
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very accurate
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phase of rays can be considered
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output of transmission matrix for
each
ray
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output of complex field strength
vector
for each ray
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recommended for highly accurate
analysis
of single points
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very fast
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single preprocessing of building
data
is required
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limited resolution due to
preprocessing
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recommended for radio network
planning
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With Ray Launching the rays are launched
from the transmitter with a discrete angle increment. Each ray is
computed individually.
After an intersection with a reflecting wall, the reflected and the
penetrated ray will be computed and traced further.
After an intersection with a wedge, the rays of the diffraction cone
will be computed with a given angle increment.
Each time a ray intersects the prediction plane, the field strength
values are accumulated at this pixel.
The
disadvantages is the constant angle increment
between two adjacent rays (so that it is not always sure that the
wedges are hit by rays) and the huge number of new rays after each
diffraction.
Because of this disadvantages, a Ray Launching is not
integrated into WinProp.
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Predicted
Results
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Ray optical models can predict not only the signal level. Due to the
consideration of multiple propaghation paths, they can also be used to
predict
- delay spread
- angular spread (at BS or at MS location)
- power delay profile (channel impulse response)
- angular profile
Spatial Channel Impulse Response
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Part of a prediciton
with multiple
propagation paths to
one pixel.
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Consideration
of Propagation Phenomena
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The loss due to reflections and diffractions must be computed in a
ray-optical propagation model. WinProp offers two different models to
compute the loss due to interactions with walls:.
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Empirical
Interaction Model (EI)
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Deterministic
Interaction Model (DI)
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The empirical interaction model EI uses
simple equations to model the penetration, reflection, and diffraction
loss of rays due to interactions with objects (walls). For penetration
and reflection the user can optionally enable the angle dependency.
For the EI model the user has to define
five material parameters
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reflection loss (in dB)
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penetration loss (in
dB)
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min. diffraction loss (in dB)
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max. diffraction loss (in dB)
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diffraction loss of diffracted ray (in
dB)
The actual loss used in the prediction is
based on these parameters and
on the angle of incidence.
The EI has the following advantages:
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required material properties are easier
to obtain with measurements than the physical parameters required for
the DI.
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parameters can more easily be
calibrated with measurements (auto-calibration).
In case of many measurements available, the
EI is recommended.
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The deterministic interaction model DI uses
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Fresnel Equations for the determination
of the reflection and transmission loss
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GTD/UTD for the determination of the
diffraction loss.
For the DI model the user has to define
three physical material parameters
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(relative) permittivity
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(relative) permeability
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conductivity
for all walls and objetcs in the database.
Additionally the thickness of the wall is used for the computation of
the penetration loss of walls.
The DI has the following advantages:
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required material properties can be
found in literature.
If no or only a few measurements are
available, the DI is recommended.
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Computation
of the direct ray
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Ray optical propagation models consider a maximum number of reflections
and diffractions. Due to that limited number, not all prediction points
might be reached with the classical ray optical algorithms (especially
far away from the transmitter).
WinProp
offers the option to compute additionally the direct ray with an
unlimited number of penetrations to obtain a prediction for each pixel
in the prediction area.
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Without
direct ray
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With direct
ray
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Download
a brochure with all indoor prediction models.
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See
a comparison between different indoor prediction models.
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Read
more about the Indoor 3D Standard Ray Tracing (SRT).
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Read
more about the Indoor 3D Intelligent Ray Tracing (IRT).
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Read
more about indoor propagation models.
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Computation of propagation paths from tower to
airplane.
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Some propagation paths
in an indoor scenario.
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Example prediction
in an indoor scenario.
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