A Variational Approach to the Modeling of MIMO Systems
- A Jraifi1, 2Email author and
- EH Saidi1, 2
https://doi.org/10.1155/2007/49350
© A. Jraifi and E. H. Saidi. 2007
Received: 17 February 2006
Accepted: 26 March 2007
Published: 22 May 2007
Abstract
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.
Keywords
Authors’ Affiliations
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