  Over the past decades, the problem of communication over finite-state Markov
channels (FSMCs) has been investigated in many researches and the capacity of
FSMCs has been studied in closed form under the assumption of the availability
of partial/complete channel state information at the sender and/or the
receiver. In our work, we focus on infinite-state Markov channels by
investigating the problem of message transmission over time-varying single-user
multiple-input multiple-output (MIMO) Gauss-Markov Rayleigh fading channels
with average power constraint and with complete channel state information
available at the receiver side (CSIR). We completely solve the problem by
giving a single-letter characterization of the channel capacity in closed form
and by providing a proof of it.
