We investigate the problem of message transmission over time-varying single-user multiple-input multiple-output (MIMO) Rayleigh fading channels with average power constraint and with complete channel state information available at the receiver side (CSIR). To describe the channel variations over the time, we consider a first-order Gauss-Markov model. We completely solve the problem by giving a single-letter characterization of the channel capacity in closed form and by providing a rigorous proof of it.

翻译：我们用平均功率限制和接收方可获得的完整频道状态信息来调查经过时间变化的单一用户多投入多产出(MIMO)Rayleigh 淡化渠道的电文传输问题。为了描述该频道在时间上的变异,我们考虑采用第一级高斯-马尔科夫模式。我们完全解决问题的方法是,以封闭形式对频道容量进行单字母描述,并提供严格的证明。