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

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Optical Methods <strong>for</strong> Assessing Fade Margins 10-7<br />

Probability P (%)<br />

95<br />

90<br />

70<br />

50<br />

30<br />

10<br />

5<br />

Satellite Beacon Measurement<br />

Karasawa Three-State Model<br />

"Fitted" Three-State Model<br />

Urban Three-State Model (UTSFM)<br />

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

Fade (dB) Exceeded at Probability P<br />

Figure 10-4: The left set <strong>of</strong> curves denotes measured <strong>and</strong> modeled fade distributions in<br />

Japan (urban regions) at 32° elevation <strong>and</strong> f = 1.5 GHz. The right-h<strong>and</strong> curves represent<br />

the fade differences between the measured <strong>and</strong> modeled distributions at different<br />

percentages.<br />

-4 -2 0 2 4<br />

Error (dB)<br />

In Figure 10-4, the major qualitative difference between the measured <strong>and</strong> the modeled<br />

CDF is that the modeled CDFs are much flatter than the measured one in the fade range<br />

from 3 to 13 dB. The terraced shape <strong>of</strong> the CDF has been observed on open rural<br />

freeways, where the unobstructed line-<strong>of</strong>-sight <strong>and</strong> strong multipath sources are both<br />

blocked at the same time by overpasses <strong>for</strong> a certain fraction <strong>of</strong> the distance. In this case,<br />

it is appropriate to use the Rayleigh distribution to describe the blocked state. On the<br />

other h<strong>and</strong>, when the signal is blocked in the urban environment, specular reflections<br />

from nearby illuminated building surfaces <strong>and</strong> diffracted rays are likely to also be<br />

received. To account <strong>for</strong> these effects, the distribution in the urban blocked state was<br />

changed from Rayleigh to Loo using the values given in the last column <strong>of</strong> Table 10-3.<br />

This CDF (solid curve) is plotted in Figure 10-4 <strong>and</strong> gives a peak error smaller than 1.5<br />

dB (Figure 10-4) <strong>and</strong> a corresponding RMS error <strong>of</strong> 0.5 dB. At the terrace part <strong>of</strong> the<br />

curve, the maximum error is approximately 0.5 dB.

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