论文标题
关于高斯MIMO通道的能力
On the Capacity of Gaussian MIMO Channels with Memory
论文作者
论文摘要
勃兰登堡和怀纳在[9]中获得了具有记忆力的高斯MIMO通道的运行能力，这是在通道冲动响应的某些温和假设及其噪声协方差矩阵下的，本质上要求通道记忆力不太强。 Tsybakov在[10]中也考虑了此渠道，在某些情况下，其信息能力得到了。根据数值证据，进一步猜想这些能力在所有情况下都是相同的。这个猜想在这里证明。还给出了最佳输入功率谱密度矩阵的显式闭合表达式。所获得的结果进一步扩展到关节约束的情况，包括每 - 安特纳和干扰功率约束以及能量收集约束。这些结果暗示了使用内存的此类通道的OFDM型传输系统的信息理论最优性。
The operational capacity of Gaussian MIMO channels with memory was obtained by Brandenburg and Wyner in [9] under certain mild assumptions on the channel impulse response and its noise covariance matrix, which essentuially require channel memory to be not too strong. This channel was also considered by Tsybakov in [10] and its information capacity was obtained in some cases. It was further conjectured, based on numerical evidence, that these capacities are the same in all cases. This conjecture is proved here. An explicit closed-form expression for the optimal input power spectral density matrix is also given. The obtained result is further extended to the case of joint constraints, including per-antenna and interference power constraints as well as energy harvesting constraints. These results imply the information-theoretic optimality of OFDM-type transmission systems for such channels with memory.
