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

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6-10<br />

6.5.3 Diversity Gain<br />

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

Diversity gain is a concept defined by Hodge [1978] <strong>for</strong> an earth-satellite<br />

communications system involving two spaced antennas operating in a diversity mode in<br />

the presence <strong>of</strong> precipitation. This concept may also be applied to antennas separated<br />

atop a vehicle <strong>for</strong> LMSS scenarios. The diversity gain is defined as the fade reduction<br />

experienced while operating in the diversity mode at a given fade margin. It is equal to<br />

the difference in fades between the single terminal <strong>and</strong> joint probability distributions at a<br />

fixed probability level. For example, from Figure 6-6 we note that the diversity gain at a<br />

probability <strong>of</strong> 1% <strong>for</strong> a 1 m antenna separation is 4 dB. Hence, while the single terminal<br />

operation at 1% probability will experience a 12 dB fade, the diversity pair <strong>for</strong> a 1 m<br />

separation will experience only an 8 dB fade.<br />

In Figure 6-8 are plotted the diversity gains versus antenna separations <strong>for</strong> a family<br />

<strong>of</strong> single terminal fade levels. Each single terminal fade uniquely defines a probability<br />

level. For example, an 8 dB fade occurs at a probability level <strong>of</strong> 3% as is noted from<br />

Figure 6-6 (<strong>for</strong> d = 0). Figure 6-8 shows that <strong>for</strong> any given fade margin, the effect <strong>of</strong> the<br />

antenna separation is dramatic the first 2 meters, whereas at larger spacing, relatively<br />

little additional fade reduction ensues.<br />

Diversity Gain (dB)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

14 dB<br />

12 dB<br />

10 dB<br />

8 dB<br />

6 dB<br />

4 dB<br />

3 dB<br />

2 dB<br />

1 dB<br />

1 2 3 4 5 6 7 8 9 10<br />

Antenna Separation, d (m)<br />

Figure 6-8: Diversity gain versus antenna separation distance <strong>for</strong> a family <strong>of</strong> single<br />

terminal fade levels.

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