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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 />

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 />

. (5.1)<br />

The LOS direction from BS i to MS k with respect to BS antenna array broad side is (see Figure 5-2)<br />

θ<br />

BSi<br />

, MSk<br />

⎧ ⎛ y<br />

⎪−<br />

arctan⎜<br />

⎪<br />

⎝<br />

x<br />

= ⎨<br />

⎪ ⎛ y<br />

⎜<br />

⎪−<br />

arctan<br />

⎩ ⎝<br />

x<br />

MSk<br />

MSk<br />

MSk<br />

MSk<br />

− y<br />

− x<br />

− y<br />

− x<br />

BSi<br />

BSi<br />

BSi<br />

BSi<br />

⎞<br />

⎟ + 90° − Ω<br />

⎠<br />

⎞<br />

⎟ − 90° − Ω<br />

⎠<br />

The angles and orientations are depicted in the figure below.<br />

BSi<br />

BSi<br />

,<br />

,<br />

when<br />

when<br />

x<br />

x<br />

MSk<br />

MSk<br />

≥ x<br />

< x<br />

BSi<br />

BSi<br />

(5.2)<br />

Ω BSi<br />

θ BS i , MS k<br />

Ω MSk<br />

θ MS , k BS i<br />

Figure 5-2: BS and MS antenna array orientations.<br />

Pairing matrix A is in the example case of Figure 5-2 a 6x3 matrix with values χ n,m ∈ {0,1}. Value 0<br />

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

⎡χc1,<br />

⎢<br />

= ⎢<br />

χc2,<br />

⎢ M<br />

⎢<br />

⎣χc6,<br />

ms1<br />

ms1<br />

ms1<br />

χ<br />

χ<br />

χ<br />

c1,<br />

ms2<br />

c2,<br />

ms2<br />

M<br />

c6,<br />

ms2<br />

χ<br />

χ<br />

χ<br />

c1,<br />

ms3<br />

c2,<br />

ms3<br />

M<br />

c6,<br />

ms3<br />

⎤<br />

⎥<br />

⎥<br />

⎥<br />

⎥<br />

⎦<br />

A (5.3)<br />

The pairing matrix can be applied to select which radio links will be generated and which will not.<br />

5.1.2 Multi-cell simulations<br />

5.1.2.1 Single user (Handover)<br />

A handover situation is characterized by a MS moving from the coverage are of one BS to the<br />

coverage area of another BS. Figure 5-3 illustrates this setup.<br />

Page 51 (82)

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