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propagation model is proposed, containing the best
features of two known models. Section 4 has the
description of the work developed regarding radio
measurements, including the obstacles attenuation
table and the n determination process for different
environments. The InPlanner tool is presented in
Section 5. In Section 6 results are discussed,
comparing the propagation models attenuation
curves with measurements. The attenuation curves
derived from the propagation models for some link
examples are also compared with the measured
results. Finally there are some conclusions in
Section 7.
2 INDOOR PROPAGATION
MODELS
There are several complex propagation mechanisms.
All of them have a direct influence in the trajectory
that a radio signal performs between transmitter and
receiver, influencing its phase, amplitude and
direction. The diffraction phenomenon occurs
whenever a radio wave stands with a solid obstacle
with dimensions considerably greater than the
wavelength, because the radio wave tends to contour
it. The scattered wave effect appears when the path
has obstacles with sizes comparable or smaller than
the wavelength. This causes a sub-division of the
wave front in several others. Reflection occurs when
the radio wave reaches an obstacle with dimensions
considerably larger than the wavelength. The
reflected wave may reinforce or degrade the signal
level at the receiver. In indoor environments this
effect has a substantial weight, being the main
source to the multipath effect. The effect of radio
wave penetration makes it possible for the radio
waves to transpose obstacles found in their path.
Other effects, like refraction, which causes a shift on
the propagation direction and the wave guide effect
causing the n value in some cases (mainly
Alleyways) to be smaller than 2, have a substantial
weight in the indoor scenario.
All the phenomena described above cause the
appearance of multipaths between transmitter and
receiver. The reflected rays will travel further
distances to reach the receiver, causing more energy
losses comparing with the direct ray. At the receiver
all the original ray samples will combine producing
the final signal. This could cause serious waveform
distortions leading to bit errors or intersymbolic
interference.
Propagation models allow an accurate path loss
prediction, which is decisive to a correct AP position
choice. Propagation models are divided into four
different types (Neskovic, 2000):
• Empirical models with narrow band information
– They are represented by simple math
equations estimating the losses.
• Empirical models with wide band information –
These models provide (usually in table format)
values for average delay spread and typical
power decay index.
• Theoretical models for time variations – These
ones could be used for example, to estimate the
received signal Doppler spectrum.
• Theoretical deterministic models – This type of
models simulate the physical phenomena
regarding radio waves propagation. They
contain narrow and wide band channel
information.
The models considered in this work are the
empirical ones with narrow band information.
2.1 Free Space Attenuation
The free space attenuation model is the base for all
empirical models with narrow band information. The
free space condition is achieved when there is Line
of Sight (LoS) between transmitter and receiver,
with full clearance of first Fresnel ellipsoid. In this
case, the only accounted attenuation that is
accounted for results from wave energy dispersion
through space (1).
[] []
[]
28log20log10
MHzmdB
−×
fdnL
fs
(1)
This is a very simple model, where n=2 and d
represents the distance between transmitter and
receiver and f represents the frequency.
2.2 Linear Attenuation Model
The linear attenuation model (Devasirvatham, 1990),
considers a linear relation between distance and
power decay as shown in (2), where α is the
attenuation coefficient in dB/m.
[] [ ] []
mdB/mdB
dLL
fslam
(2)
2.3 Keenan’s Model
Keenan’s model (Keenan, 1990) considers n=2 for
all situations, but takes into account the attenuation
for walls and floors. Its expression can be viewed in
(3).
[] []
[] []
dBdBm1dB
log10
wwffK
anandLL
+×
(3)
Where:
L
1
– propagation losses at 1 meter with L
fs
.
n
f
– number of floors between transmitter and
receiver.
a
f
– floor attenuation.
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