Final report on link level and system level channel models - Winner

WINNER D5.4 v. 1.4
The measured distributions have been tested against the following theoretic distributions to find out the
best fit:
1) Log-normal distribution
f
( x − v )
2
1 2σ
( x)
=
2πσ
e
2
( x − v)
, F(
x)
= 1−
Q(
)
(5.15)
σ
2) Logistic PDF and CDF
x−v
ζ
e
f ( x)
=
⎛
ζ ⎜1
+ e
⎝
x−v
ζ
⎞
⎟
⎠
2
,
F(
x)
= 1−
where ν is the location parameter and scale parameter ζ > 0.
1
1+
e
x−v
ζ
(5.16)
3) Gumbel (log of Weibull distribution) PDF and CDF
1 ⎡ x − v x − v ⎤
⎛ x − v ⎞
f ( x)
= exp⎢−
− exp( )
ζ
⎥ , F ( x)
= exp⎜−
exp( − ) ⎟ (5.17)
⎣ ζ ζ ⎦
⎝ ζ ⎠
where ν is the location parameter and scale parameter ζ > 0.
5.4.3.1 Scenario A1
The distribution of the RMS-delay spread was investigated. The 10, 50 and 90 % values for the
Cumulative Distribution Functions of RMS-delay spread are given below for the 5.25 GHz centrefrequency
and different LOS and NLOS propagation conditions.
Table 5.7: RMS delay spreads for A1 indoor scenario.
RMS-DS (ns)
Corri.-Corri. Corri.-Room Room-Room
LOS NLOS NLOS LOS(OLOS)
10% 15.0 13.4 13.5 9.4
Percentile
50% 38.0 25.2 25.1 14.2
90% 75.7 48.6 40.6 18.9
mean 43.0 28.5 26.5 14.2
The distributions of the maximum excess delay were also calculated for the different environments. The
10, 50 and 90 % values for the Cumulative Distribution Functions of the maximum excess delay are given
below for the 5.25 GHz centre-frequency and different LOS and NLOS propagation conditions.
Table 5.8: Maximum excess delays for the A1 indoor scenario.
Corri.-Corri. Corri.-Room Room-Room
Maximum excess delay range LOS NLOS NLOS LOS(OLOS)
(ns)
UO main building 10% 247.1 54.1 97.3 72.5
widest corridor 50% 265.0 107.5 185.0 95.0
3.5 m
90% 624.4 249.7 255.0 130.0
room size (10*10m) mean 349.0 135.0 181.8 98.1
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