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

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12-2<br />

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

0.<br />

5<br />

0.<br />

5<br />

⎪<br />

⎧ ⎡⎛<br />

1 ⎞ ⎛ 1 ⎞ ⎤⎪<br />

⎫<br />

A ( f2<br />

) = A(<br />

f1)<br />

⋅ exp⎨1.<br />

5⋅<br />

⎢ ⎜<br />

⎟ − ⎜<br />

⎟ ⎥⎬<br />

, (12-1)<br />

⎪⎩ ⎢⎣<br />

⎝ f1<br />

⎠ ⎝ f2<br />

⎠ ⎥⎦<br />

⎪⎭<br />

where A ( f1),<br />

A(<br />

f2<br />

) are expressed in dB <strong>and</strong> represent equal probability attenuations at<br />

frequencies f1, f2<br />

(GHz), respectively. In the scaling from L-B<strong>and</strong> (1.6 GHz) to K-B<strong>and</strong><br />

(19.6 GHz), the expression (12-1) was found to hold over percentages between 1.5% to<br />

20% with a maximum deviation <strong>of</strong> 2 dB. The concept <strong>of</strong> “percentage” <strong>for</strong> the static tree<br />

case represents “the percentage <strong>of</strong> optically shadowed locations over which<br />

measurements were made.”<br />

12.2.3 <strong>Effects</strong> <strong>of</strong> Canopy Branches <strong>and</strong> Foliage<br />

At UHF (870 MHz), branches <strong>of</strong> canopies are the dominant cause <strong>of</strong> attenuation, whereas<br />

at K-B<strong>and</strong> (20 GHz), the leaf part <strong>of</strong> the tree is the major cause. For example, assume<br />

that 5 dB attenuation exists <strong>for</strong> the no-foliage condition at UHF or K-B<strong>and</strong>. When leaves<br />

are present, the attenuation in dB nominally increases at UHF by a factor <strong>of</strong> 1.35 to<br />

6.8 dB, whereas at K-B<strong>and</strong> it increases by a factor <strong>of</strong> 3.5 to 17.5 dB.<br />

The following static <strong>for</strong>mulations were found applicable:<br />

For 5 dB ≤ A( no foliage) ≤ 14 dB at f = 870MHz<br />

A( foliage)<br />

= 1.<br />

35⋅<br />

A(<br />

no foliage)<br />

. (12-2)<br />

For 5 dB ≤ A( no foliage) ≤ 25 dB at f = 20 GHz<br />

A( foliage) . . [ A( no foliage)]<br />

. 0 578<br />

= 0 351+ 6 825⋅<br />

, (12-3)<br />

where A( foliage), A( no foliage)<br />

are the equal probability values <strong>of</strong> the attenuation (in<br />

dB) <strong>for</strong> the foliage <strong>and</strong> non-foliage conditions, respectively.<br />

12.2.4 Suggestions <strong>for</strong> Future Ef<strong>for</strong>ts<br />

Measurements in the interval between 4 GHz <strong>and</strong> 20 GHz are not available. Static<br />

canopy attenuation measurements <strong>for</strong> earth-satellite scenarios should there<strong>for</strong>e be made at<br />

the intermediate frequencies (e.g., C-B<strong>and</strong>, X-B<strong>and</strong> <strong>and</strong> Ku B<strong>and</strong>) to extend the validity<br />

<strong>of</strong> (12-1). This <strong>for</strong>mulation may further be extended <strong>for</strong> frequencies above 20 GHz.<br />

12.3 Attenuation Due to Roadside Trees: Mobile Case (Chapter 3)<br />

Attenuation distributions are presented <strong>for</strong> scenarios involving a mobile vehicle with an<br />

antenna mounted on its ro<strong>of</strong> receiving satellite signals along tree-lined roads. The results<br />

presented here are framed in terms <strong>of</strong> the “percentage <strong>of</strong> the distance driven over which

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