MIMO channel capacity modeling using Markov models

In this paper, we consider a narrowband point-to-point multiple-input multiple-output (MIMO) communication system with n_t transmitters and n_r receivers. We assume the receiver has perfect knowledge of the channel while the transmitter has no channel knowledge. Such MIMO systems can then be used in conjunction with some form of feedback information at the transmitter to design spectrally efficient transceivers. In this paper, we consider a rate-feedback system, which feeds back the possible information rate of the wireless system, as frequently as possible. In particular, we propose Markov model principles to predict the capacity changes during the feedback interval time and adjust the transmitter power or rate or both online to suit the wireless channel. Specifically, the transmitter continuously learns and tracks the channel capacity changes between any two known instantaneous channel information rates.