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

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Fade <strong>and</strong> Non-Fade Durations <strong>and</strong> Phase Spreads 5-13<br />

Percentage <strong>of</strong> Phase > Abscissa<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

Extreme<br />

Moderate<br />

-30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30<br />

Phase (°)<br />

Figure 5-8: Best polynomial fit (5-8) cumulative phase distribution <strong>for</strong> “extreme” <strong>and</strong><br />

“moderate” road types <strong>and</strong> 5 dB fade threshold (f = 1.5 GHz <strong>and</strong> elevation = 51°).<br />

For the “moderate” runs, cumulative distributions <strong>of</strong> phases over the probability range<br />

1% to 90% were found to be minimally dependent on fade thresholds from 2 to 8 dB.<br />

We define the “phase spread” as the maximum phase difference (at equal probability)<br />

between the individual distributions <strong>for</strong> the different fade thresholds. A phase spread <strong>of</strong><br />

less than 5° was noted <strong>for</strong> the “moderate” case over the range <strong>of</strong> distributions having fade<br />

thresholds 2 to 8 dB. For the “extreme” case, an approximate 20° phase spread (or less)<br />

was noted within the 1% <strong>and</strong> 99% levels over the fade threshold level from 2 to 8 dB.<br />

Based on the above results, it would appear the influence <strong>of</strong> phase fluctuations on<br />

demodulation techniques at the elevation angle considered (e.g., 51°) is minimal <strong>and</strong> that<br />

LMSS channel characteristics can be estimated without considering phase. At lower<br />

elevation angles (e.g., between 5° <strong>and</strong> 20°), greater multipath may be prevalent,<br />

increasing the phase fluctuation spread <strong>and</strong> potentially enhancing the impact on digital<br />

communications.

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