Dynamic Information Model for the Performance of Wireless MIMO Communication Channels With Receiver Mobility

The performance of wireless multiple-input-multiple-output (MIMO) communication channels is primarily determined by the diversity gain and the multiplexing gain that can be exploited from the channel. The diversity-multiplexing tradeoff of MIMO systems has become a topic of fundamental research in wireless communications. Recent related research has concentrated on the static behavior of this fundamental tradeoff, including accurate quantification of the tradeoff achievable for limited or unlimited power of information transmission, and for different situations of fading channels. However, the dynamic behavior of this fundamental tradeoff due to receiver mobility was not investigated previously. The objective of this study is to formulate a mathematical model to explore dynamic characteristics of this fundamental tradeoff in MIMO systems. We develop a dynamic information model to describe and analyze dynamics of the diversity-multiplexing tradeoff by using differential geometry. A mathematical object called the diversity-multiplexing tradeoff manifold is proposed. It offers a generalization and geometrizes the notion of the tradeoff, which allows us to explore more about intrinsic geometric nature of the fundamental tradeoff. Through the proposed manifold, dynamic mechanical quantities of the tradeoff considering the receiver mobility are formulated, and an application of the proposed model to Rayleigh fading MIMO channels is demonstrated.