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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 />

BS1 cell1 (x bs1 ,y bs1 ) Ω c1<br />

cell2 (x bs1 ,y bs1 ) Ω c2<br />

cell3 (x bs1 ,y bs1 ) Ω c3<br />

BS2 cell4 (x bs2 ,y bs2 ) Ω c4<br />

cell5 (x bs2 ,y bs2 ) Ω c5<br />

cell6 (x bs2 ,y bs2 ) Ω c6<br />

MS1 (x ms1 ,y ms1 ) Ω ms1<br />

MS2 (x ms2 ,y ms2 ) Ω ms2<br />

MS3 (x ms3 ,y ms3 ) Ω ms3<br />

Both the distance <strong>and</strong> line of sight (LOS) directi<strong>on</strong> informati<strong>on</strong> of the radio <strong>link</strong>s are calculated for the<br />

input of the model. Distance between the BS i <strong>and</strong> MS k is<br />

d<br />

( 2<br />

2<br />

BS ,<br />

) ( )<br />

i MS<br />

x<br />

k BS<br />

− x<br />

i MS<br />

+ y<br />

k BS<br />

− y<br />

i MS k<br />

= . (6.1)<br />

The LOS directi<strong>on</strong> from BS i to MS k with respect to BS antenna array broad side is (see Figure 6.2)<br />

⎧ ⎛ y ⎞<br />

MS<br />

− y<br />

⎪ ⎜<br />

k BSi<br />

− arctan<br />

⎟ + 90° − Ω<br />

BS<br />

, when x ≥<br />

⎪<br />

i<br />

MS<br />

x<br />

k BSi<br />

⎝<br />

xMS<br />

− x<br />

k BSi<br />

⎠<br />

θ<br />

BS<br />

= ⎨<br />

i , MS<br />

(6.2)<br />

k<br />

⎪ ⎛ yMS<br />

− y ⎞<br />

⎜<br />

k BSi<br />

⎟<br />

⎪−<br />

arctan<br />

− 90° − Ω<br />

BS<br />

, when x <<br />

i<br />

MS<br />

x<br />

k BSi<br />

⎩ ⎝<br />

xMS<br />

− x<br />

k BSi<br />

⎠<br />

The angles <strong>and</strong> orientati<strong>on</strong>s are depicted in the figure below.<br />

Ω BSi<br />

θ BS i , MS k<br />

Ω MSk<br />

θ MS , k BS i<br />

Figure 6.2: BS <strong>and</strong> MS antenna array orientati<strong>on</strong>s.<br />

Pairing matrix A is in the example case of Figure 6.2 a 3x6 matrix with values {0,1}. Value 0 st<strong>and</strong>s for<br />

<strong>link</strong> MSm to celln is not modelled <strong>and</strong> value 1 for <strong>link</strong> is modelled.<br />

Page 136 (167)

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