A Variational Approach to the Modeling of MIMO Systems

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 channelequation. The proposed equation is given by δ2=&#x23 29;δR mathvariant='bold' > R ml:mo > =||δR||. Minimum distance δmin of received vectors 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.