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

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Attenuation Due to Roadside Trees: Mobile Case 3-23<br />

3.5.2 UHF (870 MHz)<br />

In Chapter 2 it was shown that a 35% increase in the dB attenuation was experienced at<br />

870 MHz when comparing attenuation from trees having no foliage <strong>and</strong> those having<br />

foliage (winter versus summer) <strong>for</strong> the static measurement case. This case corresponded<br />

to a configuration in which the vehicle was stationary <strong>and</strong> the propagation path<br />

intersected the canopy. Seasonal measurements employing a helicopter as the transmitter<br />

plat<strong>for</strong>m were also per<strong>for</strong>med by the authors <strong>for</strong> the dynamic case in which the vehicle<br />

traveled along a tree-lined highway in Central Maryl<strong>and</strong> (Route 295) along which the<br />

propagation path was shadowed over approximately 75% <strong>of</strong> the road distance [Goldhirsh<br />

<strong>and</strong> Vogel, 1987; 1989]. Cumulative fade distributions obtained from measurements in<br />

October 1985 (trees with leaves) <strong>and</strong> in March 1986 (trees without leaves) are shown in<br />

Figure 3-22. The results demonstrate the following:<br />

At f = 870 MHz, 1% ≤ P ≤ 80% :<br />

A ( full foliage)<br />

= 1.<br />

24A(<br />

no foliage)<br />

(3-19)<br />

Equation (3-19) states that over the percentage range from 1% to 80% <strong>of</strong> the seasonal<br />

cumulative distributions, there is an average increase <strong>of</strong> 24% (at equal probability values)<br />

in the dB fade <strong>of</strong> trees with leaves relative to trees with no leaves. The dB error<br />

associated with the above <strong>for</strong>mulation over this percentage range <strong>for</strong> the curves in Figure<br />

3-22 is less than 0.2 dB. The percentage fade increase (seasonal) <strong>for</strong> the dynamic case<br />

(24%) is less than that <strong>for</strong> the static case (35%) because the <strong>for</strong>mer case represents a<br />

condition in which the optical path is always shadowed, whereas the dynamic case has<br />

associated with it measurements between trees.<br />

The question arises “Why is there a small difference between the “foliage” <strong>and</strong> “n<strong>of</strong>oliage”<br />

distributions at UHF (e.g. 24% change), whereas at K-B<strong>and</strong>, there is a large<br />

change between the distributions <strong>for</strong> these two scenarios (e.g., two to three times)?” This<br />

question may be answered as follows: The major contributor due to tree attenuation at the<br />

UHF frequency (wavelength <strong>of</strong> approximately 35 cm) <strong>for</strong> trees without leaves are the<br />

branches, since the separation between contiguous branches along the path are generally<br />

smaller than 35 cm. That is, since the branch separation is generally smaller than a<br />

wavelength at UHF, no substantial difference exists between the “leaf” <strong>and</strong> “no-leaf”<br />

cases as both scenarios result in attenuating environments. On the other h<strong>and</strong>, because<br />

the K-B<strong>and</strong> measurements have an associated wavelength <strong>of</strong> 1.5 cm, the separation<br />

between branches <strong>for</strong> the “no leaf” case is generally larger than this dimension resulting<br />

in a smaller relative fading condition. On the other h<strong>and</strong>, the “full blossom” case is<br />

highly attenuating at K-B<strong>and</strong> because <strong>of</strong> the continuous blockage caused by the high<br />

density <strong>of</strong> leaves.

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