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

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3-22<br />

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

Figure 3-21 represents an independent validation <strong>of</strong> the above foliage <strong>for</strong>mulation <strong>for</strong> a<br />

set <strong>of</strong> static measurements at f = 19.6 GHz in Austin, Texas pertaining to a Pecan tree in<br />

full foliage <strong>and</strong> the same tree devoid <strong>of</strong> leaves [Vogel <strong>and</strong> Goldhirsh, 1993a]. The<br />

resulting distributions calculated from measurements correspond to the left <strong>and</strong> right<br />

solid curves, respectively. The dashed curves represent the predicted levels using the<br />

<strong>for</strong>mulation given by (3-15). That is, the dashed curve on the right is the predicted level<br />

<strong>of</strong> A(Foliage) where equal probabilities <strong>of</strong> the measured A(No Foliage) as given by the<br />

left solid curve was injected into (3-15). The left dashed curve represents the predicted<br />

levels <strong>of</strong> the A(No Foliage), where the measured levels <strong>of</strong> A(Foliage) as given by the<br />

right solid curve values were injected into (3-15). The <strong>for</strong>mulation (3-15) generally<br />

produces agreement to within 1 dB or smaller over most <strong>of</strong> the indicated static probability<br />

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 />

Predicted<br />

No Foliage<br />

Foliage<br />

0 5 10 15 20 25 30 35 40 45<br />

Fade (dB)<br />

Figure 3-21: Independent validation <strong>of</strong> "no-foliage" versus "foliage" prediction<br />

<strong>for</strong>mulation (3-15) employing static measurements in Austin, Texas at 20 GHz. Solid<br />

curves represent measurements made during different seasons <strong>and</strong> dashed curves are the<br />

predicted levels.

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