A Study of MIMO Gaussian Channels Based on Synergetics

Hai-Lin Xiao, [No Value] Shan Ouyang, Cheng-Xiang Wang, Feng Zhao

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


By interpolating between information theory and synergetics, we provide a bridge to connect the two kinds of subjects. As an application, the capacity formula of multiple-input multiple-output Gaussian channels based on the Fokker-Planck Equation of the synergetics is derived. It is in accordance with Telatar's capacity formula in information theory and gives a physical explanation (order parameters) of the observed channel characteristics. Moreover, the master equation of the information theory is also derived to obtain error exponents. Error exponents provide a partial solution to how to get close to channel capacity by giving an upper bound to the probability of error. These results demonstrate that the notion of synergetics introduced here can serve as an intuitive tool in information theory. © 2010 Springer Science+Business Media, LLC.

Original languageEnglish
Pages (from-to)167-176
Number of pages10
JournalWireless Personal Communications
Issue number1
Publication statusPublished - Mar 2012


  • Capacity analysis
  • Error exponents
  • Gaussian channel
  • MIMO
  • Synergetics


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