论文标题
在干扰约束下的高斯MIMO通道的容量和最佳信号传导（完整版）
The Capacity and Optimal Signaling for Gaussian MIMO Channels Under Interference Constraints (full version)
论文作者
论文摘要
考虑到总发射和干扰功率约束（TPC和IPC）下的高斯MIMO通道。使用基于KKT的方法（最多达到双变量）获得了最佳传输协方差矩阵的最佳传输协方差矩阵的封闭式解决方案。尽管在特殊情况下进行了最佳双重变量的闭合解决方案，但提出了迭代二级算法（IBA），以找到一般情况中的最佳双变量，并在某些特殊情况下证明其收敛性。数值实验说明了其有效的性能。给出了最佳双重变量的边界，这有助于数值解。研究了TPC和IPC之间的相互作用，包括随着总发射功率的增加，从功率限制到干扰限制的机制的过渡。给出每个约束的足够和必要的条件。获得了许多明确的封闭式解决方案，包括全级和级别1（波束成形）情况以及相同的特征向量（典型的大型MIMO设置）。建立了最佳协方差等级。指出了最佳协方差矩阵的许多异常属性。
Gaussian MIMO channel under total transmit and interference power constraints (TPC and IPC) is considered. A closed-form solution for the optimal transmit covariance matrix in the general case is obtained using the KKT-based approach (up to dual variables). While closed-from solutions for optimal dual variables are possible in special cases, an iterative bisection algorithm (IBA) is proposed to find the optimal dual variables in the general case and its convergence is proved for some special cases. Numerical experiments illustrate its efficient performance. Bounds for the optimal dual variables are given, which facilitate numerical solutions. An interplay between the TPC and IPC is studied, including the transition from power-limited to interference-limited regimes as the total transmit power increases. Sufficient and necessary conditions for each constraint to be redundant are given. A number of explicit closed-form solutions are obtained, including full-rank and rank-1 (beamforming) cases as well as the case of identical eigenvectors (typical for massive MIMO settings). A bound on the rank of optimal covariance is established. A number of unusual properties of optimal covariance matrix are pointed out.
