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Estimation spectrale Méthodes non-paramétriques

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En remplaçant gi = λ<br />

2R−1 x ei dans la contrainte gH i ei =<br />

1, on obtient:<br />

D’où la solution:<br />

λ<br />

2 =<br />

1<br />

e H i R−1<br />

x ei<br />

g i = R−1<br />

x ei<br />

e H i R−1<br />

x ei<br />

et la puissance minimale est donc déduite:<br />

E |yi(n)| 2 =<br />

. (54)<br />

1<br />

e H i R−1<br />

x ei<br />

Pour une fréquence quelconque, on a:<br />

où<br />

(55)<br />

. (56)<br />

g = R−1 x e<br />

eHR −1 , (57)<br />

x e<br />

e = 1 exp(jω) ··· exp(jωp) T .<br />

INRS-EMT J. Benesty 25

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