A Study of MIMO Gaussian Channels Based on Synergetics.pdfVIP

Wireless Pers Commun DOI 10.1007/s11277-010-0113-6 A Study of MIMO Gaussian Channels Based on Synergetics Hai-Lin Xiao · Shan Ouyang · Cheng-Xiang Wang · Feng Zhao © Springer Science+Business Media, LLC. 2010 Abstract 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 charac- teristics. 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. Keywords Synergetics · MIMO · Gaussian channel · Capacity analysis · Error exponents 1 Introduction Information theoretic analyses during the mid 1990s [ 1,2] have demonstrated a potentially huge gain in capacity of wireless systems by the use of multiple antennas at both the transmitter and receiver ends. The capacity grows linearly with min (M , N ), when employ- H.-L. Xiao ( ) · S. Ouyang · F. Zhao B School of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, China e-mail: xhl_xiaohailin@163.com S. Ouyang e-mail: hmoysh@ F. zhao e-mail: ZhaoFeng@ C.-X. Wang Joint Research Institute for Signal and Image Processing, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK e-mail: cheng-xiang.wang@hw.ac.uk