We investigate the problem of common randomness (CR) generation from discrete correlated sources aided by one-way communication over single-user multiple-input multiple-output (MIMO) slow fading channels with additive white Gaussian noise (AWGN), arbitrary state distribution and with channel state information available at the receiver side (CSIR). We completely solve the problem by first characterizing the channel outage capacity of MIMO slow fading channels for arbitrary state distribution. For this purpose, we also provide an achievable rate for a specific compound MIMO Gaussian channel. Second, we define the outage CR capacity of the MIMO slow fading channel and establish a single-letter characterization of it using our result on its outage transmission capacity.

翻译：我们通过单向通信,通过单一用户多投入多产出产出(MIMO)慢衰化渠道,加上添加白高斯噪音(AWGN)、国家任意分配和接收方提供的频道状态信息,从离散相关来源产生共同随机性(CR)的问题。我们首先将MIMO慢流散渠道的频道流出能力定性为任意国家分布,从而彻底解决问题。为此,我们还为特定化合物MIMO Gaussian频道提供了可实现的速率。第二,我们界定了IMO慢流散渠道的排出CR能力,并利用我们在其输出传输能力方面的结果,对它进行单字母描述。