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

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10-4<br />

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

where θ is the elevation angle (°), μ <strong>and</strong> σ are the mean <strong>and</strong> st<strong>and</strong>ard deviation <strong>of</strong><br />

ln( θ c ) , respectively, <strong>and</strong> c is a scaling factor. The values <strong>of</strong> these parameters are<br />

summarized in Table 10-2.<br />

Probability Density (%)<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

Lognormal Fit<br />

0 10 20 30 40 50 60 70 80 90<br />

Elevation (deg)<br />

Figure 10-3: Skyline elevation angle histogram <strong>for</strong> San Antonio, Texas.<br />

Table 10-2: Parameters associated with lognormal fits associated with histograms <strong>of</strong> the<br />

type given in Figure 10-3 <strong>and</strong> percent visibility above 10°.<br />

Location Mean (μ) St<strong>and</strong>. Dev. (σ ) c<br />

Rural Austin 0.39 0.84 2.96 98%<br />

Suburban Austin 0.44 0.80 2.81 95%<br />

Austin CBD 1.74 1.52 3.13 77%<br />

San Antonio CBD 2.30 1.75 4.46 68%<br />

Percent Visibility<br />

Above 10°<br />

As an another example <strong>of</strong> the useful in<strong>for</strong>mation that may be derived employing the<br />

measurements described above, the last column in Table 10-2 gives the percent visibility<br />

above 10° at the various locations. We note that in the central business district <strong>of</strong> Austin<br />

<strong>and</strong> San Antonio, only 77% <strong>and</strong> 68% <strong>of</strong> the sky are visible above 10°, respectively. The<br />

analysis was executed assuming the binary states “blocked” or “clear.” In the following<br />

section, a methodology is given that includes multipath effects <strong>and</strong> shadowing.

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