Open Access

A Variational Approach to the Modeling of MIMO Systems

EURASIP Journal on Wireless Communications and Networking20072007:049350

DOI: 10.1155/2007/49350

Received: 17 February 2006

Accepted: 26 March 2007

Published: 22 May 2007


Motivated by the study of the optimization of the quality of service for multiple input multiple output (MIMO) systems in 3G (third generation), we develop a method for modeling MIMO channel . This method, which uses a statistical approach, is based on a variational form of the usual channel equation. The proposed equation is given by with scalar variable . Minimum distance of received vectors is used as the random variable to model MIMO channel. This variable is of crucial importance for the performance of the transmission system as it captures the degree of interference between neighbors vectors. Then, we use this approach to compute numerically the total probability of errors with respect to signal-to-noise ratio (SNR) and then predict the numbers of antennas. By fixing SNR variable to a specific value, we extract informations on the optimal numbers of MIMO antennas.


Authors’ Affiliations

Groupe Canal, Radio & Propagation, Lab/UFR-PHE, Faculté des Sciences
Virtual African Centre for Basic Science and Technology (VACBT), Focal Point Lab/UFR-PHE, Faculty of Sciences


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© A. Jraifi and E. H. Saidi. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.