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

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Table <strong>of</strong> Contents<br />

5 Fade <strong>and</strong> Non-Fade Durations <strong>and</strong> Phase Spreads_________________________ 5-1<br />

5.1 Background _________________________________________________________ 5-1<br />

5.2 Concept <strong>of</strong> Fade <strong>and</strong> Non-Fade Durations ________________________________ 5-1<br />

5.3 Fade Durations Derived from Measurements in Australia ___________________ 5-3<br />

5.3.1 Experimental Aspects ____________________________________________________ 5-3<br />

5.3.2 Fade Duration Model_____________________________________________________ 5-3<br />

5.4 Fade Duration Measurements in Central Maryl<strong>and</strong> ________________________ 5-6<br />

5.5 Fade Duration Distributions at Higher Elevation Angles ____________________ 5-7<br />

5.6 Summary <strong>of</strong> Fade Duration Results______________________________________ 5-8<br />

5.7 Cumulative Distributions <strong>of</strong> Non-Fade Durations: Australian Measurements__ 5-10<br />

5.8 Cumulative Distributions <strong>of</strong> Non-Fade Duration: Central Maryl<strong>and</strong> _________ 5-11<br />

5.9 Cumulative Distributions <strong>of</strong> Phase Fluctuations: Australian Measurements ___ 5-11<br />

5.10 Summary <strong>and</strong> Recommendations ____________________________________ 5-14<br />

5.11 References _______________________________________________________ 5-14<br />

Table <strong>of</strong> Figures<br />

Figure 5-1: Idealized scenario showing line <strong>of</strong> roadside trees (top) <strong>and</strong> relative signal levels<br />

(bottom) <strong>for</strong> the case in which a vehicle receiving satellite signals drives parallel to the<br />

roadside trees <strong>and</strong> the line-<strong>of</strong>-sight ray to the satellite intersects the tree canopies. ......................... 5-2<br />

Figure 5-2: Best fit exponential fade distributions <strong>of</strong> the <strong>for</strong>m (5-3) derived from measurements in<br />

south-eastern Australia along road types classified as “moderate” <strong>and</strong> “extreme.”<br />

Measurements were made at L-B<strong>and</strong> (1.5 GHz) at an elevation <strong>of</strong> 51°. Also shown is the<br />

EERS model distribution. ............................................................................................................. 5-4<br />

Figure 5-3: Best fit lognormal distribution (5-1) <strong>of</strong> fade duration distances <strong>for</strong> a 5-dB threshold.<br />

The distribution (1.5 GHz, elevation = 51°) encompasses road types which exhibit “moderate”<br />

<strong>and</strong> “extreme” shadowing <strong>and</strong> is plotted against logarithmic scales................................................ 5-6<br />

Figure 5-4: Fade durations (1.5 GHz) at elevation angles <strong>of</strong> 30°, 45°, <strong>and</strong> 60° <strong>for</strong> tree-lined road in<br />

central-Maryl<strong>and</strong> [Goldhirsh <strong>and</strong> Vogel, 1989]. The probability is conditioned to a 5 dB fade<br />

threshold. ..................................................................................................................................... 5-7<br />

Figure 5-5: Fade duration distributions at 1.3 GHz derived from measurements <strong>of</strong> S<strong>for</strong>za <strong>and</strong><br />

Buonomo [1993] in North Yorkshire, U.K. <strong>for</strong> a “wooded” environment....................................... 5-8<br />

Figure 5-6: Fade durations from different investigations (Figure 5-3 through Figure 5-5) shown<br />

together........................................................................................................................................ 5-9<br />

Figure 5-7: Best fit power curves (5-6) showing non-fade duration distributions <strong>for</strong> a 5 dB threshold<br />

<strong>for</strong> road types which exhibit “moderate” <strong>and</strong> “extreme” shadowing............................................. 5-11<br />

5-i

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