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

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Theoretical Modeling Considerations 11-7<br />

Urban <strong>and</strong> Commercial<br />

( PS<br />

− 90)<br />

⋅ 0.<br />

6 + A(<br />

PL<br />

)<br />

A(<br />

PL<br />

, PS<br />

) =<br />

( P − 90)<br />

⋅ 0.<br />

2 + A(<br />

P )<br />

Suburban-Rural<br />

S<br />

L<br />

95%<br />

95%<br />

≥ P<br />

S<br />

≤ P<br />

S<br />

≥<br />

<<br />

90%<br />

90%<br />

(11-15)<br />

A ( PL<br />

, PS<br />

) = ( PS<br />

− 90)<br />

⋅ 0.<br />

1 + A(<br />

PL<br />

) 95% ≤ P S ≤ 90%<br />

(11-16)<br />

Table 11-1: Parameter Definition <strong>and</strong> Values <strong>for</strong> Hess Model.<br />

Parameter Range <strong>of</strong> Values<br />

ENVironment 1 = Urban, 0 = Commercial, -1 = Suburban/Rural<br />

HEADing cos( 2(<br />

Vehicle Satellite )) Az Az −<br />

−<br />

FREQuency 1 = UHF, 1.8 = L-B<strong>and</strong><br />

SIDE <strong>of</strong> road +1 = Satellite across road, -1 = On same side<br />

ELEVation 15° to 50°<br />

Table 11-2: Coefficients in LS-SS Fade Model.<br />

Mean Fade, μ St<strong>and</strong>ard Deviation, σ<br />

Coefficient Value (dB) Std. Error (dB) Coefficient Value (dB) Std. Error (dB)<br />

a0 9.55 b0 3.75<br />

a1 4.46 0.42 b1 2.62 0.29<br />

a2 3.41 0.61 b2 0.98 0.42<br />

a3 1.66 0.91 b3 0.046 0.62<br />

a4 -0.35 0.36 b4 -0.24 0.25<br />

a5 -0.052 0.045 b5 0.04 0.031<br />

11.3.1.1 Example: LS-SS Model<br />

To illustrate the procedures by which we execute the LS-SS model, consider the<br />

following example. Assume that a receiver can recover the LMSS coded errors as long<br />

as the small-scale coverage is at least PS = 70%. The system operates at L-B<strong>and</strong> in a<br />

suburban area with an elevation angle to the satellite <strong>of</strong> 45°. It is desired to determine the<br />

required fade margin to achieve a large-scale probability <strong>of</strong> PL = 95%.<br />

We assume a worst case heading <strong>and</strong> condition <strong>of</strong> roadside, with the satellite at a<br />

right angle to <strong>and</strong> right <strong>of</strong> the vehicle. Hence, we employ the following parameter values<br />

from Table 11-1:

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