A study of MIMO Gaussian channels based on synergetics

By interpolating between communication theory and synergetics, we provide a bridge to connect the two kinds of subjects. As applications, the capacity formula of multiple input and multiple output (MIMO) Gaussian channels is derived by using the Fokker-Planck Equation of the synergetics, it is in accordance with the Telatar´s capacity and gives a physical explanation of the observed channel characteristics. Meanwhile, knowing the capacity of a channel is not always sufficient, one may be interested in knowing how to get close to this capacity. Error exponents provide a partial answer to this question by giving an upper bound to the probability of error. The master equation of the communication theory is also established to derive error exponents in this paper. The results are found that the notion of synergetics introduced here can serve as an intuitive tool in communication theory.