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

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

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WINNER D5.4 v. 1.4<br />

0.5<br />

Tables of Secti<strong>on</strong> Error! Reference source not found.. Note that ( 0)<br />

0.5<br />

5<br />

R ( 0) = EΛ<br />

0.<br />

T<br />

from the eigen-decompositi<strong>on</strong> R( 0 ) = EΛE<br />

of R ( 0)<br />

.<br />

R shall be obtained as<br />

5) Based <strong>on</strong> the generated large-scale parameters:<br />

a. Generate the delays, azimuth AoD <strong>and</strong> azimuth AoA of each ZDSC through r<strong>and</strong>om<br />

variable generators of the corresp<strong>on</strong>ding probability density functi<strong>on</strong>s of the selected<br />

scenario. Generate elevati<strong>on</strong> AoD <strong>and</strong> AoA for indoor Scenarios.<br />

b. Order the delays <strong>and</strong> normalize them to the smallest delay.<br />

h<br />

c. Calculate the average power of each ZDSC within the <strong>channel</strong> segment as described in<br />

Secti<strong>on</strong> 3.1.2. Assign the power of each ray within the ZDSC as P n<br />

/ M , where M is<br />

the number of rays within ZDSC of a specific scenario, which is fixed to 10 rays.<br />

d. AoA <strong>and</strong> AoD are sorted in ascending order of absolute values. Shortest delays are are<br />

assosiated to AoA <strong>and</strong> AoD with smallest absolute values. Respectively, l<strong>on</strong>gest delay<br />

is assosiated to AoA <strong>and</strong> AoD with largest absolute value.<br />

e. Assign angle offset of rays in departure <strong>and</strong> arrival from predefined set of offset angles<br />

of the selected scenario <strong>and</strong> assign r<strong>and</strong>om phases from U(0 o ,360 o ) to the 10 rays of the<br />

ZDSC. Table 3.10 shows how to obtain offset angles of rays as a functi<strong>on</strong> of anglespreads.<br />

f. R<strong>and</strong>omly couple departure rays to arrival rays.<br />

g. Determine the AoD <strong>and</strong> AoA for all rays within each ZDSC with respect to the<br />

broadside of transmitter <strong>and</strong> receiver, respectively.<br />

h. Determine the antenna gain at transmitter G ( AoD ) <strong>and</strong> receiver ( )<br />

where n is the nth ZDSC <strong>and</strong> m is the mth ray within the nth cluster.<br />

i. Apply path loss <strong>and</strong> shadowing to each ray within all ZDSCs.<br />

t<br />

n<br />

G AoA ,<br />

j. With the knowledge of MS velocity vector, fast fading of each ZDSC can be calculated<br />

for every <strong>channel</strong> segment, while the bulk parameters <strong>and</strong> MS locati<strong>on</strong>s remained fixed.<br />

k. For linear array c<strong>on</strong>figurati<strong>on</strong>, the <strong>channel</strong> coefficient h ( t)<br />

u , s,<br />

n<br />

due to the nth ZDSC<br />

for each antenna pair, element s from transmitter <strong>and</strong> element u from receiver is given<br />

by:<br />

j⎡<br />

⎣kd<br />

s sin( φm, n ) +Φm,<br />

n⎤<br />

⎦<br />

Gt( φmn<br />

.<br />

) e<br />

⋅<br />

M ⎜<br />

⎟<br />

jkdu<br />

sin( ϕ m,<br />

n)<br />

usn , ,<br />

() =<br />

nσ<br />

SF∑ ⎜<br />

r( ϕmn<br />

,<br />

) ⋅ ⎟ (3.26)<br />

m = 1 ⎜<br />

⎟<br />

jk v cos( ϕ −θ<br />

) t<br />

h t P G e<br />

⎛<br />

⎜<br />

⎝<br />

e<br />

Assuming that cluster n=1 is the <strong>on</strong>e with normalized delay τ 1 =0 (i.e. the cluster with the<br />

lowest delay of all), an opti<strong>on</strong>al LOS comp<strong>on</strong>ent may be taken into account as follows:<br />

LOS<br />

u , s,<br />

n<br />

( t)<br />

=<br />

using<br />

where<br />

1<br />

h<br />

K + 1<br />

m,<br />

n<br />

v<br />

⎞<br />

⎟<br />

⎠<br />

[ kd sin( θ ) +Φ ]<br />

j<br />

⎛<br />

s BS LOS<br />

G<br />

⎞<br />

⎜<br />

s(<br />

θBS<br />

) e<br />

⋅<br />

σ<br />

⎟<br />

SFK<br />

j(<br />

kdu<br />

sin( θ MS ) +Φ LOS )<br />

+ δ ( n −1)<br />

⋅ ⎜ Gu<br />

( θMS<br />

e<br />

⋅⎟<br />

(3.27)<br />

K + 1<br />

⎜<br />

jk v cos( θ MS −θ<br />

v ) t<br />

⎟<br />

⎝<br />

e<br />

⎠<br />

u, s,<br />

n<br />

)<br />

⎧1 for n=<br />

0<br />

δ ( n)<br />

= ⎨<br />

⎩ 0 else<br />

φ<br />

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

ϕ<br />

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

M is the number of rays within ZDSC, which is 10.<br />

G ( φ<br />

,m<br />

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

t<br />

n<br />

r<br />

n<br />

Page 28 (167)

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