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

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Optical Methods <strong>for</strong> Assessing Fade Margins 10-11<br />

Probability (%) Fade > Abscissa<br />

99<br />

98<br />

95<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

5<br />

2<br />

1<br />

London<br />

Singapore<br />

Cumulative Fade Distribution<br />

For the Globalstar Constellation<br />

Using the Highest Satellite<br />

Tokyo<br />

-5 0 5 10 15 20 25 30 35<br />

Fade (dB)<br />

Figure 10-6: Cumulative fade distribution <strong>for</strong> Globalstar satellite constellation associated<br />

with “highest” satellite diversity scenario. The path state vector components <strong>for</strong> London,<br />

Tokyo, <strong>and</strong> Singapore are given in Table 10-5.<br />

10.7 Statistics <strong>of</strong> Potentially Visible Satellites in Various States<br />

In order to establish a priori an optimum communications strategy <strong>for</strong> any given l<strong>and</strong>mobile<br />

satellite system, it is desirable to have knowledge <strong>of</strong> the statistics associated with<br />

the “states” <strong>of</strong> the “potentially visible” satellites. In this section, we describe such a<br />

statistic assuming the Globalstar system <strong>of</strong> satellites at the geographic locations <strong>of</strong><br />

Tokyo, London, <strong>and</strong> Singapore. As mentioned, “potentially visible” is defined as a<br />

satellite at an elevation angle above 10°.<br />

Figure 10-7 through Figure 10-9 are three-dimensional bar charts describing<br />

satellite constellation <strong>and</strong> path-state mixture statistics <strong>for</strong> Tokyo, London, <strong>and</strong> Singapore,<br />

respectively. The vertical scale signifies the joint probability (in percent) that the<br />

indicated numbers <strong>of</strong> satellites are potentially visible with the shown state mixture. The<br />

scale labeled “Mixed State” represents the various combinations <strong>of</strong> states <strong>for</strong> up to four<br />

potentially visible satellites. For example, CCSB corresponds to the states clear, clear,<br />

shadowed, <strong>and</strong> blocked <strong>for</strong> four potentially visible satellites. When three satellites are<br />

potentially visible, we take the first three states; namely, clear, clear, <strong>and</strong> shadowed. For<br />

the two-satellite case, this nomenclature implies the clear, clear state, <strong>and</strong> <strong>for</strong> one<br />

satellite, it represents the clear state. The indicated “All” state denotes all the satellites

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