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WINNER II pdf - Final Report - Cept

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<strong>WINNER</strong> <strong>II</strong> D1.1.2 V1.2<br />

In the LOS case substitute (4.12) by (4.13) to enforce the first cluster to the LOS direction ϕ LOS<br />

X ' + Y − X + Y − . (4.11)<br />

ϕ<br />

( ϕ ) ( ϕ ϕ )<br />

n<br />

= '<br />

n n n n 1 1<br />

<strong>Final</strong>ly add the offset angles α m from Table 4-1 to cluster angles<br />

ϕ<br />

n<br />

= ϕ + c α<br />

LOS<br />

, m n AoA m<br />

, (4.12)<br />

where c AoA is the cluster-wise rms azimuth spread of arrival angles (cluster ASA) in the Table 4-5.<br />

Table 4-1 Ray offset angles within a cluster, given for 1° rms angle spread.<br />

For departure angles φ n the procedure is analogous.<br />

Ray number m Basis vector of offset angles α m<br />

1,2 ± 0.0447<br />

3,4 ± 0.1413<br />

5,6 ± 0.2492<br />

7,8 ± 0.3715<br />

9,10 ± 0.5129<br />

11,12 ± 0.6797<br />

13,14 ± 0.8844<br />

15,16 ± 1.1481<br />

17,18 ± 1.5195<br />

19,20 ± 2.1551<br />

Step 7b If the elevation angles are supported: Generate elevation arrival angles ψ and elevation<br />

departure angles γ.<br />

Draw elevation angles with the same procedure as azimuth angles on Step 7. Azimuth rms angle<br />

spread values and cluster-wise azimuth spread values are replaced by corresponding elevation<br />

parameters from Table 4-6.<br />

Step 8: Random coupling of rays within clusters.<br />

Couple randomly the departure ray angles φ n,m to the arrival ray angles ϕ n,m within a cluster n, or<br />

within a sub-cluster in the case of two strongest clusters (see step 11 and Table 4-2).<br />

If the elevation angles are supported they are coupled with the same procedure.<br />

Step 9: Generate the cross polarisation power ratios (XPR) κ for each ray m of each cluster n.<br />

XPR is log-Normal distributed. Draw XPR values as<br />

10<br />

κ , (4.13)<br />

,<br />

10 X<br />

m n<br />

=<br />

where ray index m = 1,…,M, X ~ N(σ,µ) is Gaussian distributed with σ and µ from Table 4-5 for<br />

XPR.<br />

Coefficient generation:<br />

vv vh hv hh<br />

Step 10: Draw the random initial phase { Φ , Φ Φ }<br />

Φ for each ray m of each cluster n and<br />

n, m, n,<br />

m n,<br />

m,<br />

n,<br />

m<br />

for four different polarisation combinations (vv,vh,hv,hh). Distribution for the initial phases is uniform,<br />

Uni(-π,π).<br />

vv hh<br />

In the LOS case draw also random initial phases { Φ }<br />

Φ for both VV and HH polarisations.<br />

LOS<br />

,<br />

LOS<br />

Step 11: Generate the channel coefficients for each cluster n and each receiver and transmitter element<br />

pair u,s.<br />

For the N – 2 weakest clusters, say n = 3,4,…,N, and uniform linear arrays (ULA), the channel<br />

coefficient are given by:<br />

Page 40 (82)

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