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

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Optical Methods <strong>for</strong> Assessing Fade Margins 10-13<br />

Joint Probability (%)<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

ALL<br />

CCCC<br />

CCCS<br />

CCCB<br />

CCSS<br />

CCSB<br />

CCBB<br />

Mixed State<br />

CSSS<br />

CSSB<br />

CSBB<br />

CBBB<br />

SSSS<br />

SSSB<br />

SSBB<br />

SBBB<br />

BBBB<br />

=One<br />

=Two<br />

>=Four<br />

=Three<br />

Satellites<br />

Visible<br />

Figure 10-9: The joint probability <strong>of</strong> state mixtures <strong>for</strong> two, three, <strong>and</strong> four potentially<br />

visible satellites assuming the Globalstar constellation <strong>for</strong> observations made in<br />

Singapore.<br />

10.8 Satellite Diversity<br />

The geometry <strong>of</strong> the satellites in their constellation <strong>and</strong> the nature <strong>of</strong> the associated states<br />

corresponding to each satellite position at any instant <strong>of</strong> time suggest the employment <strong>of</strong><br />

satellite diversity. Although satellite diversity using the Globalstar constellation has been<br />

previously described in Chapter 6 (Section 6.6), <strong>for</strong> purposes <strong>of</strong> completeness <strong>and</strong> chapter<br />

continuity, we again review the results here.<br />

10.8.1 Single <strong>and</strong> Joint Fade Distributions<br />

In Figure 10-10, Figure 10-11 <strong>and</strong> Figure 10-12 are given a series <strong>of</strong> cumulative fade<br />

distributions <strong>for</strong> Tokyo, London, <strong>and</strong> Singapore assuming the Globalstar constellation<br />

relative to each geographic location. The distributions in each <strong>of</strong> these figures<br />

correspond to different types <strong>of</strong> satellite diversity communications systems. The<br />

distribution <strong>for</strong> the “Highest Satellite” is derived from a satellite diversity scenario where<br />

communications are switched to the satellite that assumes the highest elevation angle in<br />

the respective constellation, regardless <strong>of</strong> the path-state. The distribution labeled “Best<br />

Satellite” is also derived from multiple satellites where switching takes place relative to<br />

the satellite giving the smallest fade. In calculating this distribution, a decision <strong>for</strong> “best<br />

satellite” was made every 18 seconds be<strong>for</strong>e “h<strong>and</strong> over” was executed. At the 10%<br />

probability, the fades exceeded are 15 dB, 13 dB, <strong>and</strong> 19 dB <strong>for</strong> Tokyo, London, <strong>and</strong><br />

Singapore, respectively. The average elevation angles <strong>for</strong> the constellation <strong>of</strong> satellites<br />

<strong>for</strong> Tokyo <strong>and</strong> Singapore are similar (40° <strong>and</strong> 38°, respectively). Nevertheless, Singapore<br />

tends to show larger fades <strong>for</strong> the “Best” <strong>and</strong> multiple satellite scenarios because <strong>of</strong> the

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