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

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WINNER D5.4 v. 1.4<br />

G ( ϕ<br />

,m<br />

) is the antenna gain of receiver (MS) for the mth ray within the nth ZDSC.<br />

r<br />

d s<br />

d u<br />

k<br />

n<br />

is the distance between antenna elements of the linear array at transmitter.<br />

is the distance between antenna elements of the linear array at receiver.<br />

is the wave number.<br />

Φ<br />

n,m is the phase of the mth ray within the nth ZDSC.<br />

v<br />

is the speed of the MS.<br />

θ<br />

v<br />

is the angle of the MS velocity vector.<br />

If cross-polarisati<strong>on</strong> is c<strong>on</strong>sidered, additi<strong>on</strong>al cross polarized rays per each ZDSC are generated with<br />

same angle <strong>and</strong> delay informati<strong>on</strong> as those of the co-polarized rays described earlier but different r<strong>and</strong>om<br />

xy ,<br />

phases ( Φ ) from uniform distributi<strong>on</strong> U(0°,360°). The complex field pattern at transmitter <strong>and</strong><br />

mn ,<br />

receiver for vertical polarisati<strong>on</strong><br />

receiver<br />

h<br />

F<br />

t<br />

,<br />

h<br />

r<br />

v<br />

F<br />

t<br />

,<br />

v<br />

F<br />

r<br />

respectively, <strong>and</strong> for horiz<strong>on</strong>tal polarisati<strong>on</strong> for transmitter <strong>and</strong><br />

vh<br />

F , respectively. The cross-polarized amplitude from vertical to horiz<strong>on</strong>tal ( κ<br />

mn , ) or<br />

hv<br />

horiz<strong>on</strong>tal to vertical κ<br />

mn , for each ray within each ZDSC are calculated from their corresp<strong>on</strong>ding XPR<br />

values given by lognormal distributi<strong>on</strong> of parameters given in Table 3.6 for different scenarios. The κ is<br />

selected for every ray with each cluster from indpenent lognormal distributi<strong>on</strong> with parameters given in<br />

Table 3.3. It is assumed that the XPR r<strong>and</strong>om variables of different rays are independent from angles <strong>and</strong><br />

delays. The <strong>channel</strong> coefficient with polarizati<strong>on</strong> can be calculated as given in [3GPP SCM] as<br />

h () t = Pσ<br />

usn , ,<br />

n SF<br />

M<br />

∑<br />

m = 1<br />

( φ )<br />

( φ )<br />

( ϕ )<br />

( ϕ )<br />

T<br />

⎛ v<br />

v<br />

⎡<br />

vv vh vh<br />

F ⎤<br />

t m, n ⎡exp( j<br />

mn ,<br />

) κ<br />

m, n<br />

exp( j<br />

,<br />

) ⎤ ⎡F<br />

⎤ ⎞<br />

⎜<br />

Φ<br />

Φ<br />

mn r m,<br />

n<br />

⎢ ⎥ ⎢<br />

⎥ ⎢ ⎥⋅⎟<br />

⎜ h<br />

hv hv hh<br />

h<br />

⎢Ft mn ,<br />

⎥ ⎢κ<br />

mn ,<br />

exp( jΦ m, n) exp( jΦ mn ,<br />

) ⎥ ⎢Fr mn ,<br />

⎥ ⎟<br />

⎜⎣ ⎦ ⎣<br />

⎦ ⎣ ⎦ ⎟<br />

⎜<br />

⎟<br />

⎜<br />

⎟<br />

jkds sin( φmn , ) jkdu sin( ϕm, n ) jk v cos( ϕm,<br />

n−θv<br />

) t<br />

⎜<br />

e e ⋅ e<br />

⎟<br />

⎜<br />

⎟<br />

⎜<br />

⎟<br />

⎝<br />

⎠<br />

(3.28)<br />

For LOS ray (not cluster), the off-diag<strong>on</strong>al elements of the polarizati<strong>on</strong> matrix are zero by definiti<strong>on</strong>, i.e.,<br />

the XPR (given by the two κ) is infinity for the LOS ray.<br />

3.2 Reduced variability “clustered delay line” model<br />

This <strong>channel</strong> model is somehow different from the c<strong>on</strong>venti<strong>on</strong>al tapped delay line <strong>models</strong> in a sense that<br />

fading within each tap is generated by a sum of sinusoids i.e., the rays within the cluster of that tap.<br />

However, it is based <strong>on</strong> similar principles of the ZDSC <strong>channel</strong> modelling approach. Clustered delay line<br />

(CDL) model is composed of a number of separate delayed clusters. Each cluster has a number of<br />

multipath comp<strong>on</strong>ents (rays) that have the same known delay values but differ in known angle of<br />

departure <strong>and</strong> known angle of arrival. The cluster’s angle-spread may be different from that of BS to that<br />

of the MS. The offset angles of the rays depend <strong>on</strong> the angles spread at BS or MS <strong>and</strong> are calculated as<br />

shown in Table 3.10. The offset angles represent the Laplacian PAS of each ZDSC. The average power,<br />

mean AoA, mean AoD of clusters, angle-spread at BS <strong>and</strong> angle-spread at MS of each cluster in the CDL<br />

are extracted or estimated from measurement results at 5 GHz <strong>and</strong> chip frequency (f c ) of 100 MHz for<br />

Scenarios A1, C2 <strong>and</strong> D1, <strong>and</strong> f c =60 MHz for scenario B1 or obtained from literature as in Scenario B5.<br />

In the CDL model each ZDSC is composed of 10 rays with fixed offset angles <strong>and</strong> identical power. In the<br />

case of ZDSC where a ray of dominant power exists, the ZDSC has 10+1 rays. This dominant ray has a<br />

zero angle offset. The departure <strong>and</strong> arrival rays are coupled r<strong>and</strong>omly. The CDL table of all scenarios of<br />

interest are give below, where the ZDSC power <strong>and</strong> the power of each ray are tabulated. The CDL <strong>models</strong><br />

offer well-defined radio <strong>channel</strong>s with fixed parameters to obtain comparable simulati<strong>on</strong> results with<br />

relatively n<strong>on</strong>-complicated <strong>channel</strong> <strong>models</strong>.<br />

Page 29 (167)

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