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

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9-16<br />

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

Table 9-3: Values <strong>of</strong> parameters a, b, c <strong>for</strong> upper lower bounds <strong>of</strong> –10 dB spectral<br />

b<strong>and</strong>width (9-32).<br />

f-10 a b c<br />

Upper Bound<br />

f-10U<br />

Lower Bound<br />

f-10L<br />

-1140489.7 1140489.4 -2129739.7<br />

9.4.1 Example Calculation<br />

-0.99312632 0.97234278 -16.718273<br />

It is desired to find the mean fade occurrence interval TI (P)<br />

<strong>and</strong> the mean fade duration<br />

TD (P)<br />

under the following conditions:<br />

<strong>and</strong><br />

P = 95% (9-33)<br />

θ = 5°<br />

. (9-34)<br />

o<br />

Step 1: Evaluate α <strong>and</strong> m(P).<br />

Substitute P given by (9-33) into (9-31) <strong>and</strong> evaluateα <strong>and</strong> m(P). We obtain<br />

α = 0 . 699,<br />

m(<br />

P)<br />

= 1.<br />

645 . (9-35)<br />

Step 2: Evaluate the upper <strong>and</strong> lower bounds <strong>of</strong> the –10 dB spectral b<strong>and</strong>width f-10.<br />

Substituting coefficients <strong>of</strong> Table 9-3 into (9-32) <strong>for</strong> θ o given in (9-34), we obtain<br />

f . 378,<br />

f = 0.<br />

318<br />

(9-36)<br />

−10 U = 2 −10<br />

L<br />

Step 3: Evaluate the mean fade occurrence interval at P=50%.<br />

Substituting (9-36) into (9-30), we obtain<br />

T ( 50%)<br />

= 0.<br />

7285,<br />

T ( 50%)<br />

= 5.<br />

4435 , (9-37)<br />

I<br />

U<br />

I<br />

L<br />

where the subscripts U, L denote the upper <strong>and</strong> lower bounds <strong>of</strong> f-10 in (9-36),<br />

respectively.<br />

Step 4: Evaluate T ( 95%)<br />

at the upper <strong>and</strong> lower bound <strong>of</strong> f-10.<br />

I<br />

Substituting T ( 50%)<br />

given in (9-37) <strong>and</strong> m(P) given in (9-35) into (9-28),<br />

I<br />

TI U<br />

I<br />

L<br />

( 95%)<br />

= 2.<br />

8s,<br />

T ( 95%)<br />

= 21.<br />

1s<br />

(9-38)

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