论文标题
消息传输和通过任意频道状态分布的MIMO缓慢褪色通道上的常见随机性产生
Message Transmission and Common Randomness Generation over MIMO Slow Fading Channels with Arbitrary Channel State Distribution
论文作者
论文摘要
我们研究了消息传输的问题以及单用户多输入多数输出(MIMO)在具有平均输入功率约束,添加性白色高斯噪声(AWGN),任意状态分布以及可在接收方(CSIR)上可用的完整通道状态信息的慢速褪色通道(MIMO)慢褪色通道的问题。首先,我们在MIMO缓慢褪色通道的停电能力上得出了一个较低和上限,以进行任意状态分布,并表明界限是重合的,除了可能在中断传输能力的不连续点的位置外,最多有很多。为了证明在中断传输能力上的下限,我们还建立了特定复合Mimo Gaussian通道的容量。其次,我们定义了具有任意状态分布的MIMO缓慢褪色通道的两源模型的中断能力,并使用我们的边界在其上的界限上建立了较低的和上限,并在其上方建立了较低的和上限。
We investigate the problem of message transmission and the problem of common randomness (CR) generation over single-user multiple-input multiple-output (MIMO) slow fading channels with average input power constraint, additive white Gaussian noise (AWGN), arbitrary state distribution and with complete channel state information available at the receiver side (CSIR). First, we derive a lower and an upper bound on the outage transmission capacity of MIMO slow fading channels for arbitrary state distribution and show that the bounds coincide except possibly at the points of discontinuity of the outage transmission capacity, of which there are, at most, countably many. To prove the lower bound on the outage transmission capacity, we also establish the capacity of a specific compound MIMO Gaussian channel. Second, we define the outage CR capacity for a two-source model with unidirectional communication over a MIMO slow fading channel with arbitrary state distribution and establish a lower and an upper bound on it using our bounds on the outage transmission capacity of the MIMO slow fading channel.