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

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3-26<br />

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

1<br />

2<br />

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

2<br />

M ( θ ) = a1θ<br />

+ a2θ<br />

+ a3<br />

, (3-22)<br />

2<br />

N(<br />

θ ) = bθ<br />

+ b θ + b<br />

a<br />

a<br />

a<br />

b<br />

b<br />

b<br />

1<br />

2<br />

3<br />

1<br />

2<br />

3<br />

= 1117 . Χ10<br />

= −0.<br />

0701<br />

= 61304 .<br />

= 0. 0032<br />

= −0.<br />

6612<br />

= 37. 8581<br />

−4<br />

3<br />

(3-23)<br />

In the above, A( θ, P)<br />

is the L-B<strong>and</strong> (1.5 GHz) fade in dB, P is the percentage <strong>of</strong> fade<br />

exceeded applicable in the range 1% to 30%, <strong>and</strong> θ is the elevation angle (in degrees)<br />

valid from 20° to 80°. In Figure 3-24, the above MERS <strong>for</strong>mulation is compared with the<br />

EERS model at 30°, 45°, <strong>and</strong> 60°. The two models at the different angles generally agree<br />

with one another to approximately 1 dB at the equal percentage levels. The 60° MERS<br />

distribution appears shifted to the right relative to the EERS model by approximately<br />

1 dB. Although the above <strong>for</strong>mulation is described <strong>for</strong> L-B<strong>and</strong>, it may be used <strong>for</strong><br />

S-B<strong>and</strong> frequencies applying the frequency scaling relation (3-20) [Butt et al., 1995].<br />

Percentage <strong>of</strong> the Time 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 />

60°<br />

45°<br />

30°<br />

0 2 4 6 8 10 12 14 16 18 20 22 24<br />

Fade Depth (dB)<br />

Figure 3-24: Comparison <strong>of</strong> EERS model (solid) with MERS (dashed) results at L-B<strong>and</strong><br />

(1.5 GHz).

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