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erreurs des systèmes multiporteuses à base de bancs de filtres (FBMC) précodées a été analysée Il a été montré que cette performance est très sensible à l'égalisation complète des sous-canaux. Lorsqu' il y a de l'interference inter-symbole residuelle qui vient de l'égalisation imparfaite des sous-canaux, il y a une perte de diversité ; cette diversité peut être récuperée avec l'utilisation d'un nombre de sous-canaux assez grand pour que chaque sous-canaux subisse de l'évanouissement plat ou avec l'utilisation d'un égaliseur par sous-canal avec une longueur suffisante pour compenser cette réponse en fréquence. Une approximation pour la distribution du rapport signal/bruit-plus-interfèrence (SINR) des systèmes SC-FDE qui utilisent égalisation MMSE linéaire a été ensuite proposée. Cette approximation utilise la distribution lognormal avec la plus petit distance de Kullback-Leibler vers la vraie distribution, et nous avons montré qu'elle est précise pour estimer la performance d'erreurs ; elle sert aussi comme une abstraction de ce système. Avec cette abstraction, une méthode précise pour obtenir la performance d'erreur analytique codée de ces systèmes a été proposée. Finalement, des précodeurs Tomlinson-Harashima (THP) et égaliseurs (linéaires et à retour de décision) largement linéaires pour des systèmes SC-FDE ont été proposés, de nouvelles techniques d'égalisation et de précodage pour des systèmes multiporteuses ont été proposées et analysées. D'abord Ces précodeurs et égaliseurs ont une meilleures performance comparés aux versions strictement linéaires lorsque les signaux de constellations impropres sont transmises. Aussi, le taux d'erreurs quand des égaliseurs à retour de décision sont utilisés est moins sensible à la longueur du filtre de retour. Quand des précodeurs largement linéaires sont utilisés, cette performance devient moins sensible aux erreurs d'estimation des canaux ,