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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 />

break-points or the dual-slope behaviour could not be found in our measurements. However, this depends<br />

most probably <strong>on</strong> the r<strong>and</strong>omness of the practical situati<strong>on</strong>: We have decided to take it as part of our rural<br />

LOS model.<br />

For the line of sight (LOS) c<strong>on</strong>diti<strong>on</strong>s the measurements suggest the path-loss equati<strong>on</strong>s:<br />

with the st<strong>and</strong>ard deviati<strong>on</strong> s = 3.5 dB.<br />

PL(d) = 44.6 + 21.5 log 10 (d) (5.63)<br />

The model is based partly <strong>on</strong> our measurements <strong>and</strong> partly <strong>on</strong> the literature research, where we have<br />

adopted the two ray model for distances higher than the break-point. For the LOS envir<strong>on</strong>ment we get<br />

then:<br />

where d = distance<br />

PL(d) = 44.6 + 21.5 log 10 (d), s = 3.5 dB, d d BP<br />

The path losses behave very similarly at the two frequencies. As a matter of fact the mean behaviour is<br />

very near free-space path-loss in LOS c<strong>on</strong>diti<strong>on</strong>s. The formula above can be adapted for the frequencies<br />

between 2000 <strong>and</strong> 6000 MHz by replacing the c<strong>on</strong>stant 44.6 by a factor<br />

C(f c ) = 36.2 + 20 log 10 (f c /(2·10 9 )) (5.65)<br />

Note that the LOS path-loss depends <strong>on</strong> antenna heights <strong>on</strong>ly through the break-point distance.<br />

5.6.1.5.2 NLOS model<br />

The NLOS model is based <strong>on</strong> our measurements which have been fitted to results found in the literature<br />

research. The measured path-loss curve for the NLOS c<strong>on</strong>diti<strong>on</strong>s has the equati<strong>on</strong><br />

with s = 6.7 dB.<br />

PL = 55.8 + 25.1 log 10 (d) (5.66)<br />

This path-loss equati<strong>on</strong> was measured for the BS antenna height 23 m <strong>and</strong> MS antenna height 1.7 m. This<br />

equati<strong>on</strong> will be compared to some theoretical path-loss curves. From the literature we found that mostly<br />

the st<strong>and</strong>ard deviati<strong>on</strong> was a little bit higher than 6.7. Because our measurement was limited, we decided<br />

to use the value 8 dB for the st<strong>and</strong>ard deviati<strong>on</strong>.<br />

The formula (5.66) above can be adapted for the frequencies between 2000 <strong>and</strong> 6000 MHz by replacing<br />

the c<strong>on</strong>stant 55.8 by a factor<br />

C(f c ) = 46.9 + 20 log 10 (f c / (2·10 9 )) · 1.063 (5.67)<br />

= 46.9 + 21.3 log 10 (f c / (2·10 9 ))<br />

The c<strong>on</strong>stant 1.063 is based <strong>on</strong> our finding that the path loss difference in between 5.25 <strong>and</strong> 2.45 GHz for<br />

NLOS c<strong>on</strong>diti<strong>on</strong>s was about 2.5 dB higher than for free space, see paragraph 5.6.9.<br />

After D5.3 the following equati<strong>on</strong> was proposed for the D1 rural NLOS scenario path-loss by the WP5 to<br />

other work-packages. This model is called. COST231-Hata model, originally for urban <strong>and</strong> suburban<br />

envir<strong>on</strong>ments. Slightly simplified it reads as<br />

f<br />

c<br />

d<br />

PL = 20log10 ( ) + [ 44.9 −6.55log10<br />

( hBS<br />

) ] log10<br />

( ) −13.82log10<br />

( hBS<br />

) + 153. 39 (5.68)<br />

2000<br />

1000<br />

where h BS is the height of the base stati<strong>on</strong>, f c is the centre-frequency (MHz), <strong>and</strong> d is the distance between<br />

BS <strong>and</strong> MS (m).<br />

This model <strong>and</strong> another well-known model, Erceg model 1, will be compared to the measured curve.<br />

The modificati<strong>on</strong> of the BS antenna height is probably needed, because the envir<strong>on</strong>ment of the<br />

measurements is extremely flat. This can be compensated by adding 25 m to get an effective BS antenna<br />

height that is greater in flat than in hilly envir<strong>on</strong>ments.<br />

Both <strong>models</strong> work equally well, if the BS antenna height is between, say, 10 <strong>and</strong> 100 m. For higher<br />

antenna heights the curves begin to differ. According to the comparis<strong>on</strong>, the modified COST231-Hata<br />

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