"WINNER II Channel Models", ver 1.1, Sept

WINNER II D1.1.2 V1.1
d
( arctan( y x ) −ϕ )
2 2
'
xu
+ yu
cos
u u n,
m
u,
n,
m
= , (4.18)
sinϕn,
m
where (x u ,y u ) are co-ordinates of uth element A u and A 0 is the reference element.
y
A u
y u
'
d
ud , n u
,’
m
A 0
ϕ n,m
x u
x
Figure 4-2 Modified distance of antenna element u with non-ULA array.
H
If the elevation is included (4.16) will be written as
u,
s,
n
( t)
=
P
M
∑
n
m=
1
⎡
⎢
⎣
⋅exp
T
vv
vh
Frx
, u,
V
( φn,
m
) ⎤ ⎡ exp( jΦ
n,
m
) κ
n,
m
exp( jΦ
n,
m
)
F ( )
hv
hh
rx,
u,
H
φ
⎥ ⎢
n,
m ⎦ ⎢
⎣
κ
n,
m
exp( jΦ
n,
m
) exp( jΦ
n,
m
)
−1
−1
( j2πλ
r ⋅ Φ ) exp( jd2πλ
r ⋅ Ψ ) exp( j2πυ
t)
0
s
n,
m
0
u
n,
m
n,
m
⎤⎡F
⎥⎢
⎥⎣F
⎦
tx,
s,
V
tx,
s,
H
( ϕn,
m
)
( ϕ )
n,
m
⎤
⎥
⎦
(4.19)
where scalar product
⋅ Φ = x cosγ cosφ
+ y cosγ
sinφ
+ z γ , (4.20)
r
s n, m s n,
m n,
m s n,
m n,
m s
sin
n,
m
r
s
is location vector of Tx array element s,
Φ
n, m
is departure angle unit vector of ray n,m and x s , y s
and z s are components of r
s
to x,y and z-axis respectively, φ
n, m
is ray n,m arrival azimuth angle and
γ
n,m
is ray n,m arrival elevation angle. r
u
Ψn,
m
arrival angle n,m.
⋅ is a scalar product of Rx antenna element u and
Further on in the case of elevation assuming horizontal only motion, eq. (4.15) will be written as
υ
n,
m
v ⋅ Ψn,
m
v cosθ
v
cosγ
n,
m
cosφn,
m
+ v sinθv
cosγ
=
λ
λ
0
0
n,
m
sinφ
= . (4.21)
Step 12: Apply the path loss and shadowing for the channel coefficients.
n,
m
4.2.1 Generation of bad urban channels (B2, C3)
Bad urban channel realizations can be created as modified B1 and C2 NLOS procedures as follows:
Step 1:
Drop five far scatterers within a hexagonal cell, within radius [FSmin, FSmax]. For FSmin and FSmax
values see Table 4-3. For each mobile user determine the closest two far scatteres, which are then used for
calculating far scatterer cluster parameters.
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