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Handbook of Propagation Effects for Vehicular and ... - Courses

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5-4<br />

<strong>Propagation</strong> <strong>Effects</strong> <strong>for</strong> <strong>Vehicular</strong> <strong>and</strong> Personal Mobile Satellite Systems<br />

P ( FD > dd,<br />

A > Aq<br />

) = P(<br />

FD > dd | A > Aq<br />

) P(<br />

A > Aq<br />

) , (5-2)<br />

where P(A > Aq) is the is the absolute probability that the fade exceeds the threshold Aq.<br />

Cumulative fade distributions P(A > Aq) are described in Figure 5-2 <strong>for</strong> road-types whose<br />

degrees <strong>of</strong> shadowing are classified as “extreme” <strong>and</strong> “moderate.” These distributions<br />

are described by the “best fit” exponential<br />

P( A > Aq<br />

) = u exp( −vAq<br />

) , (5-3)<br />

where P is the percentage <strong>of</strong> the distance driven over which the fade Aq (in dB) is<br />

exceeded. The parameters u <strong>and</strong> v are tabulated in Table 5-1 along with the RMS<br />

deviations <strong>of</strong> the measured distributions relative to the best fit curves. Also plotted in<br />

Figure 5-2 is the EERS model that shows general agreement with the “moderate”<br />

distribution to within approximately 2 dB over the indicated percentage range.<br />

Percentage <strong>of</strong> Distance Fade > Abscissa<br />

100<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

1<br />

4<br />

3<br />

2<br />

EERS Model<br />

Moderate<br />

Extreme<br />

2 3 4 5 6 7 8 9 10 11 12 13 14 15<br />

Fade Depth (dB)<br />

Figure 5-2: Best fit exponential fade distributions <strong>of</strong> the <strong>for</strong>m (5-3) derived from<br />

measurements in south-eastern Australia along road types classified as “moderate” <strong>and</strong><br />

“extreme.” Measurements were made at L-B<strong>and</strong> (1.5 GHz) at an elevation <strong>of</strong> 51°. Also<br />

shown is the EERS model distribution.

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