A variational approach to the modeling of MIMO systems

  • Authors:
  • A. Jraifi;E. H. Saidi

  • Affiliations:
  • Groupe Canal, Radio & Propagation, Lab/UFR-PHE, Facultéé des Sciences, Rabat, Morocco and Virtual African Centre for Basic Science and Technology (VACBT), Focal Point Lab/UFR-PHE, Facult ...;Groupe Canal, Radio & Propagation, Lab/UFR-PHE, Facultéé des Sciences, Rabat, Morocco and Virtual African Centre for Basic Science and Technology (VACBT), Focal Point Lab/UFR-PHE, Facult ...

  • Venue:
  • EURASIP Journal on Wireless Communications and Networking
  • Year:
  • 2007

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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 H. This method, which uses a statistical approach, is based on a variational form of the usual channel equation. The proposed equation is given by δ2 = 〈δR|H|δE〉|+〈δR|(δH)|E〉 with scalar variable δ = ||δR||. Minimum distance δmin of received vectors |R〉 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.