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Canal de Propagation - Martial COULON

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IV.5.2 Spectre Doppler<br />

• Modèle <strong>de</strong> Clarke (le plus courant) : φ uniforme sur [-π,+π]<br />

S<br />

⎧<br />

⎪<br />

f ) = ⎨πf<br />

⎪<br />

⎩0<br />

1.5<br />

( f / f )<br />

2<br />

α<br />

(<br />

m<br />

1−<br />

m<br />

,<br />

f <<br />

sinon<br />

f<br />

m<br />

<strong>de</strong>nsité spectrale <strong>de</strong> puissance S(f)<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

-1 -0.5 0 0.5 1<br />

• Modèle pas toujours valable<br />

fréquence normalisée f/f m<br />

(faibles distances φ non-uniforme), mais bonne approximation<br />

ex : GSM pour zones rurales<br />

⎧ c1<br />

⎪<br />

Sα<br />

( f ) = ⎨2πf<br />

m<br />

1−<br />

f / f<br />

⎪<br />

⎩0<br />

( )<br />

m<br />

2<br />

+ c δ (<br />

2<br />

f<br />

− 0.7<br />

f<br />

m<br />

),<br />

f <<br />

sinon<br />

f<br />

m<br />

47

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