Study of Adaptive Filtering Algorithms and the Equalization of Radio Mobile Channel

This paper presented a study of three algorithms, the
equalization algorithm to equalize the transmission channel with ZF
and MMSE criteria, application of channel Bran A, and adaptive
filtering algorithms LMS and RLS to estimate the parameters of the
equalizer filter, i.e. move to the channel estimation and therefore
reflect the temporal variations of the channel, and reduce the error in
the transmitted signal. So far the performance of the algorithm
equalizer with ZF and MMSE criteria both in the case without noise,
a comparison of performance of the LMS and RLS algorithm.





References:
[1] R.W. Lucky, “Techniques for adaptive equalization of digital
communication”, Bell Syst, Tech, J., Vol. 45, pp. 255-286, 1965.
[2] John G. Proakis, “Digital Communications”, McGraw Hill Higher
Education, 4e édition, Paperback (December 1, 2000).
[3] S. Safi, “Identification aveugle des canaux à phase non minimale en
utilisant les statistiques d’ordre supérieur: application aux réseaux
mobiles”, Thèse d’Habilité, Cadi Ayyad University, Marrakesh,
Morocco, (2008).
[4] M. Bellanger, « Analyse des signaux et filtrage numérique adaptatif »,
Masson ed., Paris, 1989 400p.
[5] B. Picinbono, « Signaux aleatoires, tome 3, bases du traitement
statistique du signal », Dunod, Paris, 1995.
[6] Haykin S., “Adaptive Filter Theory”, 3e édition, Upper Saddle River,
New Jersey, 1996.
[7] Macchi O., « L’égalisation numérique en communications, Annales des
télécommunications », vol.53, n_1-2, pp. 39-58, 1998.
[8] Brossier J.M., « Egalisation et synchronisation, Signal et communication
numérique, collection Traitement du Signal », Hermes 1997.
[9] Sklar B., “Digital Communications – Fundamentals and applications”,
Prentice Hall 2001.
[10] Labat J., Macchi O., Laot C., “Adaptive decision feedback Equalizers”:
Can you skip the training period, IEEE trans. On Communications,
1996.
[11] Tugnait J. K., Tong L., Ding Z., “Single User Channel Estimation and
Equalization”, IEEE Signal Processing Magazine, pp. 17-28, may 2000.
[12] D. Godard, “Self recovering equalization and carrier tracking in twodimensional
data communication”.
[13] M. Honig, D. Messerschmitt, “Adaptive Filters: Sructures, Algorithms,
and Applications”. Boston: Kluwer Academic Publishers, 1984.