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

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Theoretical Modeling Considerations 11-29<br />

Figure 11-7: Calculated Doppler spectrum due to single multipath reflector averaged<br />

over one second, while the vehicle is driving past the scatterer.<br />

Similar cases to the one above, except <strong>for</strong> an outer radius <strong>of</strong> 500 m <strong>and</strong> the much higher<br />

average area per scatterer <strong>of</strong> 625 m 2 , were examined with inner clearance radii from 30 to<br />

400 m. The result demonstrates that multipath phenomena <strong>for</strong> LMSS scenarios are<br />

significant only if the scatterers are located close to the vehicle. The st<strong>and</strong>ard deviation<br />

<strong>of</strong> the logarithmic amplitude decreases monotonically with increasing inner clearance<br />

from 0.22 dB to 0.07 dB.<br />

As an outgrowth <strong>of</strong> geometric modeling, it has been ascertained that when higher<br />

gain antennas are employed, the side <strong>of</strong> the road on which the scatterer is located<br />

influences the multipath fading [Vishakantaiah <strong>and</strong> Vogel, 1989]. For example,<br />

assuming an antenna with 80° half-power beamwidth in both the azimuth <strong>and</strong> elevation<br />

planes, the multipath fading was 10 dB when a simulated scatterer (e.g., a utility pole)<br />

was placed between the vehicle <strong>and</strong> the satellite. Only 1 dB multipath fading occurred<br />

when the vehicle was between the scatterer <strong>and</strong> the satellite. Filtering <strong>of</strong> the signal by the<br />

antenna pattern diminished fading <strong>for</strong> the latter case. On the other h<strong>and</strong>, when an<br />

azimuthally omni-directional antenna was used, no change in the multipath fading (e.g.,<br />

10 dB) was observed <strong>for</strong> the two cases. In an environment with many scatterers at<br />

r<strong>and</strong>om heights <strong>and</strong> cross sections, the reduction <strong>of</strong> the fade fluctuations arising from<br />

lower versus higher gain antennas is not as extreme, but still significant. For the case <strong>of</strong><br />

500 scatterers (having r<strong>and</strong>om heights <strong>and</strong> cross-sections) located at distances between

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