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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 />

Cumulative Distributi<strong>on</strong> Functi<strong>on</strong>s of the RMS-delay spread are given in the Figure 5.24 a <strong>and</strong> b below<br />

for the 5.25 GHz centre-frequency <strong>and</strong> c-c LOS <strong>and</strong> r-c NLOS propagati<strong>on</strong> c<strong>on</strong>diti<strong>on</strong>s. Best fit is<br />

achieved with the log-normal distributi<strong>on</strong>.<br />

a<br />

Figure 5.24: a) CDF of the A1 indoor (corridor – corridor) LOS envir<strong>on</strong>ment, fitting to normal,<br />

Gumbel <strong>and</strong> logistic distributi<strong>on</strong>s shown. b) CDF of the A1 indoor (room – corridor) NLOS<br />

envir<strong>on</strong>ment, fitting to normal distributi<strong>on</strong> shown.<br />

b<br />

5.4.3.2 Scenario B1<br />

The mean RMS delay spread for LOS <strong>and</strong> NLOS cases has been calculated for large number of <strong>channel</strong><br />

segments. The mean value of each <strong>channel</strong> segment has been calculated for data collected of every 10λ,<br />

where about five <strong>channel</strong> impulse resp<strong>on</strong>ses has been measured per wavelength. Fitting the log of the<br />

measured RMS delay spread with different distributi<strong>on</strong>s is shown in Figure 5.25. For NLOS case, the<br />

lognormal distributi<strong>on</strong> is not very close to measurement data as well as the log-logistic distributi<strong>on</strong>s. For<br />

LOS case, the Gumbel distributi<strong>on</strong> follows most of the points of the measurement CDF. The closest<br />

distributi<strong>on</strong> is the Gumbel distributi<strong>on</strong>, which is a special case of the Fisher-Tippett Distributi<strong>on</strong>. It is<br />

particularly c<strong>on</strong>venient for extreme values data. It may be used as an alternative to the normal distributi<strong>on</strong><br />

in the case of skewed empirical data.<br />

(a) LOS<br />

Figure 5.25: RMS delay spread in Scenario B1.<br />

(b) NLOS<br />

Figure 5.26 shows the maximum excess delay for both LOS <strong>and</strong> NLOS propagati<strong>on</strong> c<strong>on</strong>diti<strong>on</strong>s. Table 5.9<br />

presents mean <strong>and</strong> st<strong>and</strong>ard deviati<strong>on</strong>s of both RMS delay spread <strong>and</strong> the ZDSC excess delays for both<br />

LOS <strong>and</strong> NLOS cases.<br />

Page 76 (167)

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