论文标题
在干扰约束下的高斯MIMO通道的能力（完整版）
On The Capacity of Gaussian MIMO Channels Under Interference Constraints (full version)
论文作者
论文摘要
考虑到总发射和多重干扰功率约束（TPC和IPC）下的高斯MIMO通道。在一般情况下（直至双变量），获得了其最佳传输协方差矩阵的封闭式解决方案。在某些特殊情况下，获得了许多更明确的封闭式溶液，包括全级和秩-1（波束成式）溶液，这些溶液与众所周知的填充水溶液有很大差异（例如，频道eigenmodes上的信号不再是最佳的，并且非零发射电源的容量可以为零）。在干扰约束下，增白过滤器被证明是最佳预编码的重要组成部分。研究了发射功率的容量缩放：其定性行为是由多个用户的MIMO通道引起的天然线性代数结构决定的。给出了一个简单的等级条件，以表征可能共享频谱共享的情况。研究了TPC和IPC之间的相互作用，包括从功率限制到干扰限制的制度的过渡。指出了IPC下最佳协方差矩阵的许多异常属性，并建立了其等级的界限。从信息理论的角度来看，自适应天线阵列文献中已知的部分无效形成在某些情况下也是最佳的。
Gaussian MIMO channel under total transmit and multiple interference power constraints (TPC and IPCs) is considered. A closed-form solution for its optimal transmit covariance matrix is obtained in the general case (up to dual variables). A number of more explicit closed-form solutions are obtained in some special cases, including full-rank and rank-1 (beamforming) solutions, which differ significantly from the well-known water-filling solutions (e.g. signaling on the channel eigenmodes is not optimal anymore and the capacity can be zero for non-zero transmit power). A whitening filter is shown to be an important part of optimal precoding under interference constraints. Capacity scaling with transmit power is studied: its qualitative behaviour is determined by a natural linear-algebraic structure induced by MIMO channels of multiple users. A simple rank condition is given to characterize the cases where spectrum sharing is possible. An interplay between the TPC and IPCs is investigated, including the transition from power-limited to interference-limited regimes. A number of unusual properties of an optimal covariance matrix under IPCs are pointed out and a bound on its rank is established. Partial null forming known in the adaptive antenna array literature is shown to be optimal from the information-theoretic perspective as well in some cases.
