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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 />

A measurement campaign has been c<strong>on</strong>ducted in a metropolitan typical urban macro-cell (scenario C2),<br />

with simultaneous measurements of the three <strong>link</strong>s between a single mobile-stati<strong>on</strong>, <strong>and</strong> three sector<br />

antenna arrays, <strong>on</strong>e of them located just above average rooftop <strong>level</strong> <strong>and</strong> the other two sectors well above<br />

roof-top <strong>level</strong>, see Secti<strong>on</strong> 5.2.5. No correlati<strong>on</strong> was found between the two sites in the measurements.<br />

However, this is believed to be due to measurement problems <strong>and</strong> we believe the true correlati<strong>on</strong> between<br />

sectors of the same cell is full. The geometry of the measurements where such that the angle β between<br />

the base-stati<strong>on</strong>s was typically large as illustrated in Figure 4.4. In additi<strong>on</strong> the base-stati<strong>on</strong> heights were<br />

different. These measurements show that for metropolitan typical urban envir<strong>on</strong>ments (scenario C2)<br />

under the c<strong>on</strong>diti<strong>on</strong>s stated the correlati<strong>on</strong> is zero.<br />

In the future it is possible to develop <strong>models</strong> the correlati<strong>on</strong> is situati<strong>on</strong>s where it exists. It is likely that it<br />

<strong>on</strong>ly exist in a few situati<strong>on</strong>s when β is small <strong>and</strong> the distances r 1 <strong>and</strong> r2<br />

are close. This situati<strong>on</strong> would<br />

actually be preferable from the point of view of complexity of the <strong>channel</strong> generati<strong>on</strong> in simulati<strong>on</strong>s. A<br />

computati<strong>on</strong>ally efficient way of introducing such correlati<strong>on</strong>s is described by the following two<br />

equati<strong>on</strong>s<br />

<strong>and</strong><br />

( ) µ<br />

0.5<br />

( x,<br />

y) = ( ∆r) ? ( x,<br />

y) + ( x y)<br />

~ 1<br />

1<br />

s R ξ , +<br />

(4.39)<br />

( ) µ<br />

0.5<br />

( x,<br />

y) = ( ∆r) ? ( x,<br />

y) + ( x y)<br />

~ 2<br />

2<br />

s R ξ , + , respectively, (4.40)<br />

1<br />

2<br />

where the r<strong>and</strong>om processes ξ ( x, y)<br />

, ? ( x, y)<br />

<strong>and</strong> ( x, y)<br />

~1 ~2<br />

s ( x,<br />

y)<br />

<strong>and</strong> s ( x,<br />

y)<br />

is introduced by the comm<strong>on</strong> r<strong>and</strong>om process ξ ( x, y)<br />

T<br />

{?<br />

( x y) ? ( x,<br />

y)<br />

} = diag( c , K,<br />

)<br />

<strong>and</strong><br />

,<br />

1<br />

? are independent <strong>and</strong> the correlati<strong>on</strong> between<br />

c m<br />

.Assuming<br />

E (4.41)<br />

1 1,T<br />

2 2,T<br />

{?<br />

( x y) ? ( x,<br />

y)<br />

} E ? ( x,<br />

y) ? ( x,<br />

y)<br />

{ } = diag( 1- c , K,<br />

− )<br />

E = 1 , (4.42)<br />

this produces a cross-correlati<strong>on</strong> of the form<br />

E<br />

,<br />

1<br />

{ ~ 1 2, T<br />

0.5<br />

0.5, T<br />

s ( x,<br />

y) ~ s ( x,<br />

y)<br />

} = ( ∆r) diag( c , , c ) R ( ∆r)<br />

R K . (4.43)<br />

A key questi<strong>on</strong> here is whether this correlati<strong>on</strong> structure <strong>models</strong> the true cross-correlati<strong>on</strong> accurately<br />

enough or not. In the multi-cell measurements available now correlati<strong>on</strong> was found between sites, see<br />

Secti<strong>on</strong>s 5.2.5.1 <strong>and</strong> 9.3.1. For this reas<strong>on</strong> the <strong>system</strong> <strong>level</strong> vectors of different sites will be modeled as<br />

independent.<br />

In the WINNER model as well as in SCM the shadow-fading is correlated with a correlati<strong>on</strong> coefficient<br />

of 0.5. The <strong>on</strong>ly reference known to the authors where inter-site correlati<strong>on</strong> has been studied is [Maw92].<br />

In this paper the cross-correlati<strong>on</strong> between the log-normal-fading is approximated as 0.9<br />

− θ / 200 where<br />

θ is the angle between the two sites <strong>and</strong> seen from the MS. The model is based <strong>on</strong> measurements two<br />

base-stati<strong>on</strong>s at 45 <strong>and</strong> 90 meter height, the distance to the two base-stati<strong>on</strong>s are 2-38 km <strong>and</strong> the<br />

frequencies are in the 154-922 MHz range. These parameters are substantially different from the<br />

measurements made in the WINNER project <strong>and</strong> we therefore chose to put neglect them.<br />

4.2 Stati<strong>on</strong>ary-feeder scenarios B5<br />

It should be noted that for the other prioritized scenarios WP5 have measurement data <strong>and</strong> improved<br />

modelling of them is an <strong>on</strong>going effort while for the feeder scenarios this is not the case. In any case WP5<br />

feels that the interim <strong>channel</strong> <strong>models</strong> are sufficiently good as a starting point for simulati<strong>on</strong>s <strong>and</strong> further<br />

discussi<strong>on</strong>s. In stati<strong>on</strong>ary feeder both terminals are fixed, the <strong>channel</strong> modelling approach is clustered<br />

delay-line modelling approach. Clustered delay line <strong>models</strong> for the first two sub-scenarios (B5a <strong>and</strong> B5b),<br />

defined in Subsecti<strong>on</strong> 1.3.2.1.3, are defined in Secti<strong>on</strong> 4 based <strong>on</strong> the analysis below <strong>and</strong> we describe how<br />

<strong>models</strong> for the B5c <strong>and</strong> B5d sub-scenarios could be obtained by modifying scenario B1 <strong>and</strong> C2,<br />

respectively.<br />

4.2.1 B5a LOS stati<strong>on</strong>ary feeder: rooftop-to-rooftop<br />

The propagati<strong>on</strong> scenario in the LOS measurements in [PT00] <strong>and</strong> [SCK05] is the most similar to ours,<br />

although in [SCK05] the distance is very short. Therefore, we will base the propagati<strong>on</strong> model mostly <strong>on</strong><br />

[PT00] for the parameters that are available from in that paper. Remaining parameters will be derived<br />

from the other papers. Only a tapped delay-line model is provided. This scenario probably can be<br />

characterized by a str<strong>on</strong>g line of sight <strong>and</strong> single-bounce reflecti<strong>on</strong> as indicated in Figure 4.5. If the LOS<br />

path is slightly obstructed, the influence of multi-path-related parameters will be str<strong>on</strong>g, <strong>and</strong> far-away<br />

1<br />

m<br />

c m<br />

Page 51 (167)

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