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

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Attenuation Due to Roadside Trees: Mobile Case 3-19<br />

3.5 Attenuation <strong>Effects</strong> <strong>of</strong> Foliage<br />

3.5.1 K-B<strong>and</strong> <strong>Effects</strong><br />

Measurements made in Austin, Texas during February <strong>and</strong> May when the trees were<br />

without <strong>and</strong> with leaves, respectively, enabled a “foliage’’ adjustment model to be<br />

developed. The <strong>for</strong>mulation relates equal probability attenuation (dB) corresponding to<br />

“foliage” <strong>and</strong> “no-foliage” cases at K-B<strong>and</strong> <strong>and</strong> is given by<br />

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

A ( Foliage)<br />

+<br />

)<br />

C<br />

= a bA(<br />

No Foliage<br />

(3-15)<br />

a = 0. 351<br />

b = 68253 . , (3-16)<br />

c = 05776 .<br />

1 ≤ A( No Foliage)<br />

≤ 15 dB <strong>and</strong> (3-17)<br />

8 ≤ A( Foliage)<br />

≤ 32 dB . (3-18)<br />

This <strong>for</strong>mulation was derived from “no-foliage” <strong>and</strong> “foliage” mobile measurements<br />

made during February <strong>and</strong> May <strong>of</strong> 1994, respectively, in Austin, Texas during the ACTS<br />

campaigns. The time-series signal level characteristics <strong>for</strong> these two cases are shown in<br />

Figure 3-17 <strong>and</strong> Figure 3-18, where the measurements were made along a one kilometer<br />

segment <strong>of</strong> a street heavily populated with Pecan trees. Shown are the minimum,<br />

maximum, <strong>and</strong> average signal levels over one second periods <strong>for</strong> a sampling rate <strong>of</strong><br />

1 KHz. The corresponding cumulative fade distributions are shown in Figure 3-19 where<br />

the dashed <strong>and</strong> solid curves correspond to the “no-foliage” <strong>and</strong> “foliage” cases. The<br />

direction <strong>of</strong> travel <strong>for</strong> these runs was approximately orthogonal to the satellite pointing<br />

direction. The optical blockage to the satellite during the full foliage period was<br />

estimated to be well in excess <strong>of</strong> 55%. Per<strong>for</strong>ming a least square fit associated with equal<br />

probability levels <strong>of</strong> the attenuation <strong>for</strong> the two curves in Figure 3-19, the <strong>for</strong>mulation<br />

(3-15) was derived. A comparison <strong>of</strong> the measured <strong>and</strong> predicted levels describing the<br />

foliage versus no foliage fades is given in Figure 3-20. The predicted curve (dashed) is<br />

shown to agree to within a fraction <strong>of</strong> a dB up to fades (with foliage) <strong>of</strong> approximately<br />

38 dB.

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