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

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10-10<br />

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

10.6.1 Cumulative Fade Distributions <strong>for</strong> Urban Areas In Tokyo, London, <strong>and</strong><br />

Singapore<br />

Assuming that the urban environment <strong>of</strong> Tokyo (mid-latitude ≈ 35.5°) is globally<br />

representative <strong>and</strong> has similar skyline statistics as other urban areas, cumulative fade<br />

distributions were derived <strong>for</strong> London, Engl<strong>and</strong> having a higher latitude ( ≈ 51.5°) <strong>and</strong><br />

Singapore (Isl<strong>and</strong> <strong>of</strong> Singapore), at the equatorial latitude ( ≈ 1°). Based on<br />

photogrammetric measurements <strong>and</strong> the known satellite constellations (<strong>of</strong> Globalstar), at<br />

each <strong>of</strong> these locations the average state mixtures <strong>of</strong> the “highest” <strong>and</strong> “best” were<br />

determined <strong>for</strong> all images <strong>and</strong> the entire period. The values <strong>of</strong> C, S, B are listed in Table<br />

10-5 <strong>for</strong> both <strong>of</strong> these cases. The “highest” satellite configuration is a <strong>for</strong>m <strong>of</strong> satellite<br />

diversity where communications is sequentially switched (every 18 s in the case<br />

considered here) to the satellite that gives the largest elevation angle <strong>of</strong> the earth-satellite<br />

path; regardless <strong>of</strong> whether it is “blocked” or “shadowed.” The “best” satellite<br />

configuration switches first to the satellite that has a “clear line-<strong>of</strong>-sight.” If such a<br />

satellite does not exist in the constellation, switching takes place to a satellite that is<br />

“shadowed.” If neither the “clear” or “shadowed” line <strong>of</strong> sight is available, then the line<strong>of</strong>-sight<br />

path is blocked.<br />

Table 10-5: List <strong>of</strong> values <strong>of</strong> “path-state vector” components C, S, B <strong>for</strong> Globalstar<br />

constellation in London, Tokyo, <strong>and</strong> Singapore.<br />

Location<br />

Highest Satellite Best Satellite<br />

C S B C S B<br />

London 0.689 0.086 0.225 0.817 0.081 0.102<br />

Tokyo 0.583 0.103 0.314 0.782 0.095 0.124<br />

Singapore 0.567 0.110 0.323 0.668 0.121 0.211<br />

In Figure 10-6 are plotted the cumulative fade distributions <strong>for</strong> the “highest” satellite<br />

cases <strong>for</strong> the above mentioned cities. The cumulative fade distribution <strong>for</strong> London shows<br />

the smallest fades because the elevation angles to the satellites are generally greater. It is<br />

noted that 15 dB is exceeded at 20% (London) to approximately 30% (Singapore <strong>and</strong><br />

Tokyo) <strong>of</strong> locations (or <strong>of</strong> time) <strong>for</strong> the “highest” satellite scenario.

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