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

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3-32<br />

3.7.5 Comparative Summary <strong>of</strong> Model Limits<br />

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

In Table 3-3 is given a comparative summary <strong>of</strong> the above competing models <strong>and</strong> their<br />

domains <strong>of</strong> validity. The EERS model covers a wider range <strong>of</strong> percentages than the other<br />

models (1% to 80%) <strong>and</strong> includes angles as low as 7°. The other models are limited to<br />

20° elevation. It also covers the greatest range <strong>of</strong> frequencies (e.g., 0.87 to 20 GHz). The<br />

EERS model limitation vis-à-vis the other models is that it does not include elevation<br />

angles greater than 60°. The ITU-R model extends the EERS model from 60° to 90° at<br />

1.6 GHz <strong>and</strong> 2.6 GHz. The EFM, CEFM, <strong>and</strong> MERS models include elevation angles up<br />

to 80°.<br />

Table 3-3: Summary <strong>of</strong> empirical models <strong>and</strong> their domains <strong>of</strong> validity.<br />

Model Name<br />

Percentage<br />

Range (%)<br />

Elevation Angle<br />

Range (deg)<br />

Frequency Range<br />

(GHz)<br />

EERS 1-80 7-60 0.87-20<br />

ERS 1-20 20-60 0.87-3<br />

Reference<br />

Goldhirsh <strong>and</strong> Vogel<br />

[1995a], ITU-R [1997]<br />

Goldhirsh <strong>and</strong> Vogel<br />

[1992], ITU-R [1994]<br />

ITU-R 1-30 60-90 1.6-2.6 ITU-R [1997]<br />

EFM 1-20 60-80 1.3-10.4 Parks et al. [1993a]<br />

MERS 1-30 20-80 1.5-2.6 S<strong>for</strong>za et al. [1993a]<br />

CEFM 1-20 20-80 1.5-2.6 Butt et al. [1995]<br />

3.8 Conclusions <strong>and</strong> Model Recommendations<br />

The following is recommended:<br />

1. In the elevation angle interval between 20° to 60°, the EERS model should be<br />

executed as outlined in Section 3.3.2 using the step by step approach in Section 3.3.3.<br />

The ITU-R angle extension procedure from 60° to 90° may be used at 1.6 GHz <strong>and</strong><br />

2.6 GHz as outlined in Section 3.7.4. The MERS model (Equation (3-21) <strong>and</strong> Figure<br />

3-24) <strong>and</strong> the CEFM model (Equation (3-26) <strong>and</strong> Figure 3-26) show relatively small<br />

differences with the EERS model in the angular range 20° to 60°.<br />

2. For elevation angles between 7° <strong>and</strong> 20° the EERS model should continue to be<br />

employed in the absence <strong>of</strong> any direct measurements. The model provides a median<br />

<strong>of</strong> measured distributions at the smaller angles, but the deviation from the measured<br />

levels may be significantly larger than 5 dB at equal probability levels because <strong>of</strong><br />

terrain blockage <strong>and</strong> multiple canopy tree-shadowing. Where direct measurements<br />

exist, these should be substituted <strong>for</strong> the model.

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