WINNER II pdf - Final Report - Cept

WINNER II D1.1.2 V1.2
H
u,
s,
n
( t)
M
= Pn
∑
m=
1
⎡
⎢
⎣
⋅exp
T
vv
vh
Ftx
, s,
V
( ϕn,
m
) ⎤ ⎡ exp( jΦ
n,
m
) κ
n,
m
exp( jΦ
) ⎤
n,
m ⎡Frx
,
F ( )
hv
hh
tx,
s,
H
ϕ
⎥ ⎢
⎥⎢
n,
m ⎦ ⎢ ( j ) ( j ) F
n,
m
n,
m
n,
m
rx,
⎣
κ exp Φ exp Φ ⎥
⎦⎣
−1
−1
( jd 2πλ
sin( φ )) exp( jd 2πλ
sin( ϕ
) exp( j2πυ
t)
s
0
n,
m
u
0
n,
m
n,
m
u,
V
u,
H
( φn,
m
)
( φ )
n,
m
⎤
⎥
⎦
(4.14)
where F rx,u,V and F rx,u,H are the antenna element u field patterns for vertical and horizontal polarisations
respectively, d s and d u are the uniform distances [m] between transmitter elements and receiver
elements respectively, and λ 0 is the wave length on carrier frequency. If polarisation is not
exp Φ and only vertically
considered, 2x2 polarisation matrix can be replaced by scalar ( )
polarised field patterns applied.
j
n,
m
With the fixed feeder link models (B5 scenarios) the Doppler frequency component ν n,m is tabulated
for the first ray of each cluster. For the other rays ν n,m = 0. With all other models the Doppler
frequency component is calculated from angle of arrival (downlink), MS speed v and direction of
travel θ v
υ
v
cos
( ϕ −θ
)
n , m v
n,
m
= , (4.15)
λ0
For the two strongest clusters, say n = 1 and 2, rays are spread in delay to three sub-clusters (per
cluster), with fixed delay offset {0,5,10 ns} (see Table 4-2). Delays of sub-clusters are
τ
τ
τ
n,1
n,2
n,3
= τ + 0ns
n
= τ + 5ns
n
= τ + 10ns
n
(4.16)
Twenty rays of a cluster are mapped to sub-clusters like presented in Table 4-2 below. Corresponding
offset angles are taken from Table 4-1 with mapping of Table 4-2.
Table 4-2 Sub-cluster information for intra cluster delay spread clusters.
sub-cluster # mapping to rays power delay offset
1 1,2,3,4,5,6,7,8,19,20 10/20 0 ns
2 9,10,11,12,17,18 6/20 5 ns
3 13,14,15,16 4/20 10 ns
In the LOS case define
u , s,
n u,
s,
n
H ' = H and determine the channel coefficients by adding single lineof-sight
ray and scaling down the other channel coefficient generated by (4.14). The channel
coefficients are given by:
H
u,
s,
n
1
K + 1
( t) = H'
( t)
+ δ
R
⋅ exp
T
F ( )
vv
K R
⎡ tx,
s,
V ϕ LOS ⎤ ⎡exp( jΦ
LOS ) 0 ⎤⎡
⎢
K F ( )
⎥ ⎢
hh ⎥⎢
R + 1 ⎣ tx,
s,
H ϕ LOS ⎦ ⎢⎣
0 exp( jΦ
LOS ) ⎥⎦
⎣
−1
−1
( jd 2πλ
sin( φ )) exp( jd 2πλ
sin( ϕ )) exp( j2πυ
t)
( n −1)
s
u,
s,
n
0
LOS
u
0
LOS
LOS
F
F
rx,
u,
V
rx,
u,
H
( φLOS
)
( φ )
LOS
⎤
⎥
⎦
(4.17)
where δ( . ) is the Dirac’s delta function and K R is the Ricean K-factor defined in Table 4-5 converted to
linear scale.
If non-ULA arrays are used the equations must be modified. For arbitrary array configurations on
horizontal plane, see Figure 4-2, the distance term d u in equations (4.14) and (4.17) is replaced by
d
( arctan( y x ) −ϕ )
2 2
'
xu
+ yu
cos
u u n,
m
u,
n,
m
= , (4.18)
sinϕn,
m
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