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

WINNER D5.4 v. 1.4
0,74 0,40 1,00 -0,44 0,42 0,83
-0,68 -0,05 -0,44 1,00 -0,11 -0,28
0,49 0,77 0,42 -0,11 1,00 0,44
0,63 0,38 0,83 -0,28 0,44 1,00
0.26
3.10
0.20
0.22
1.52
0.00
0.88
0.94
2.30
6.00
1.30
3.50
NLOS 1,00 -0,10 0,31 -0,50 -0,61 -0,05
-0,10 1,00 -0,26 -0,01 0,20 -0,14
0,31 -0,26 1,00 -0,41 -0,28 -0,19
-0,50 -0,01 -0,41 1,00 0,25 0,10
-0,61 0,20 -0,28 0,25 1,00 0,45
-0,05 -0,14 -0,19 0,10 0,45 1,00
0.19
0.23
0.14
3.50
0.21
0.17
-7.60
1.30
1.57
0.00
1.06
1.10
Order of parameters: delay-spread, AoD azimuth-spread, AoA azimuth-spread, shadowing, AoD
elevation-spread, AoA elevation-spread
4.20
4.90
2.50
3.40
3.20
2.60
3.1.2 Average power of ZDSC conditioned on their delays
The average power of every ZDSC is calculated in delay domain as explained in Chapter 4. Two
functions are required to calculate the expected power of each ZDSC conditioned on their delays. They
are the power delay spectrum and the probability density function of ZDSC delays. It is shown in
Chapter 4, that for the case when both P ( τ ) and f ( τ ) are exponential, the expected power of ZDSC
depends on the value of the parameter r τ and the RMS delay spread of the channel segmentσ . In order
to make the average power of ZDSC varying from delay to delay and from one channel segment to
another in a similar manner that is usually seen in measurement results, the shadowing randomization
effect on each ZDSC is modelled. Thus, the expected power of ZDSC of each segment is obtained as:
'
P n
−ζ
2 ⎛
{ }
( rτ
−1) ⎞
10
α τ ∝ exp⎜−τ′
⎟ 10
= E
⎜ rτ
σ ⎟ ⋅ , (3.13)
⎝
τ ⎠
where ζ
n is an i.i.d. Gaussian random variable with zero mean and standard deviation ζ , and the delay
τ ′ is the normalized delay to the delay of the first arrival ZDSC. The normalized delay of the first arrival
ZDSC is zero. For the case when the ZDSC delays have uniform distribution, the expected power of
ZDSC of each segment is obtained as:
'
P n
−ξn
2
10
{ α τ } ∝ exp( −τ
' σ τ
) ⋅10
= E
(3.14)
The ZDSC delay distributions and power delay spectrum of different scenarios are presented in Table 3.6.
For calculation of channels with cross-polarisation, the cross-polarisation ratio (XPR) for vertical to
horizontal (XPR V ) and for horizontal to vertical (XPR H ) are needed (for definition see 5.4.12). The values
XPR V and XPR V of different scenarios are given in Table 3.6.
n
τ
Scenarios
ZDSC
Delay
distribution
Table 3.6: Formulae for calculating the ZDSC power conditioned on delay for the considered
scenarios and XPR V and XPR H .
A1 B1 B3 C1 C2 D1
LOS NLOS LOS NLOS LOS NLOS LOS NLOS NLOS LOS NLOS
Exp Exp Exp Uniform
(0,800ns)
Exp
(0,130ns)
Exp
(0,220ns)
Exp Exp Exp Exp Exp
rτ
3.0 2.4 3.2 2.2 1.90 1.58 2.4 1.5 2.3 3.8 1.7
rτ
−1
rτ
−1
rτ
−1
ϒ
r r r
τ
τ
ζ (dB) 3
τ
'
−t 10
P n ϒ στ
− ξ
n
e 10 n
1
rτ
−1
rτ
−1
rτ
−1
rτ
−1
rτ
−1
rτ
−1
rτ
−1
r r r r r r r
τ
XPR V µ 11.4 9.7 8.6 8 0.5 0.1 7.9 3.3 7.6 6.9 7.9
τ
τ
τ
τ
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τ
τ