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Canal de Propagation - Martial COULON

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IV.4. <strong>Canal</strong> <strong>de</strong> Rice<br />

<strong>Propagation</strong> LOS signal direct plus puissant que les autres<br />

y ( t)<br />

= α(<br />

t)<br />

s(<br />

t)<br />

+ n(<br />

t)<br />

α(t) : variable aléatoire gaussienne complexe <strong>de</strong> moyenne non-nulle<br />

r(t)=|α(t)| : variable <strong>de</strong> Rice, <strong>de</strong> <strong>de</strong>nsité <strong>de</strong> probabilité :<br />

p<br />

2 2<br />

r ⎛ r + s ⎞ ⎛ rs ⎞<br />

r)<br />

= exp⎜−<br />

⎟I0<br />

, ≥<br />

2 2 ⎜ ⎟ r<br />

σ ⎝ 2σ<br />

⎠ ⎝ σ ⎠<br />

(<br />

2<br />

0<br />

s : amplitu<strong>de</strong> du signal LOS<br />

−k<br />

2<br />

re ⎛ r ⎞ ⎛ r 2k<br />

⎞<br />

p( r)<br />

= exp⎜<br />

⎟ ⎜ ⎟<br />

0<br />

, ≥<br />

2 − I<br />

2<br />

2<br />

2<br />

r<br />

σ ⎝ σ ⎠ ⎝ σ ⎠<br />

0<br />

2<br />

puissance du signal LOS s<br />

k = =<br />

2 : paramètre <strong>de</strong> Rice<br />

puissance <strong>de</strong>s signaux NLOS 2σ<br />

43

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