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Robust Weighted Sum-Rate Maximization for the Multi-Stream MIMO Interference Channel With Sparse Equalization

机译:具有稀疏均衡的多流MIMO干扰信道的鲁棒加权和速率最大化

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摘要

In this paper, we study the problem of per-stream maximum sum-rate joint precoder and minimum mean-squared error equalizer design for the multi-input multi-output interference channel. We consider the general case of more than three users with more than one stream per user. We propose a generalized iterative algorithm which directly maximizes the sum-rate without assuming the signal-to-noise ratio to be infinite. To reduce complexity, which can become prohibitive for large network size, we examine the performance-complexity tradeoffs involved in a sparse equalizer design. Joint precoder and equalizer optimization requires alternation between the forward and reverse links and assumes perfect synchronization between the transmitters and receivers at each network node, resulting in extensive overhead and spectral efficiency loss. To overcome this serious drawback, we propose a new design approach based on weighted-sum-rate maximization assuming a virtual equalizer type at the transmitter to limit the optimization process to the transmitter side. In addition, we quantify the sum-rate loss due to mismatched equalizer types and demonstrate the robustness of our proposed sum-rate weighting strategy to such mismatches with perfect or imperfect channel knowledge. Finally, we derive asymptotic performance expressions and verify their accuracy numerically even for a moderate number of users.
机译:在本文中,我们研究了针对多输入多输出干扰信道的每流最大和速率联合预编码器和最小均方误差均衡器设计的问题。我们考虑的情况通常是三个以上的用户,每个用户有一个以上的流。我们提出了一种广义的迭代算法,该算法直接使总和速率最大化,而无需假设信噪比为无限大。为了降低复杂度(对于大型网络而言,复杂度可能会变得过高),我们研究了稀疏均衡器设计中涉及的性能复杂度折衷。联合的预编码器和均衡器优化需要在前向链路和反向链路之间进行交替,并假定每个网络节点上的发送器和接收器之间都实现了完美的同步,从而导致大量的开销和频谱效率损失。为了克服这个严重的缺点,我们提出了一种基于加权总和速率最大化的新设计方法,该方法假设在发射机处使用虚拟均衡器类型,以将优化过程限制在发射机端。此外,我们量化了由于均衡器类型不匹配而导致的总速率损失,并证明了我们提出的总速率加权策略对具有完美或不完善信道知识的此类不匹配的鲁棒性。最后,我们得出了渐近性能表达式,并通过数值验证了它们的准确性,即使对于中等数量的用户也是如此。

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