Robust MIMO precoding for the schatten norm based channel uncertainty sets
Robust MIMO precoding for the schatten norm based channel uncertainty sets
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DOI：
10.1109/glocom.2013.6831597
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
Jiaheng Wang;M. Bengtsson;B. Ottersten;D. Palomar
中科院分区：
文献类型：
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作者：
Jiaheng Wang;M. Bengtsson;B. Ottersten;D. Palomar
在本文中，我们考虑了针对发射端不完全信道状态信息（CSIT）的鲁棒MIMO预编码设计。与现有的基于一个或两个特定信道不确定性模型的工作不同，我们考虑了一个由一般矩阵范数定义的一般不确定性集，称为Schatten范数，其中包括大多数确定性不完全CSIT作为特殊情况。采用最坏情况鲁棒性，将鲁棒MIMO预编码设计表述为最坏情况接收信噪比最大化或最坏情况误差概率最小化的最大化问题。我们证明了鲁棒预编码器对所有基于Schatten范数的不确定性集都允许信道对角化结构，然后将复值矩阵问题简化为实值向量功率分配问题。我们进一步证明，简化的功率分配问题可以用充水方式解析解决，从而得到鲁棒预编码设计的全封闭解。最后，我们还研究了波束形成和均匀功率传输的鲁棒性。
In this paper, we consider robust MIMO precoding designs against deterministic imperfect channel state information at the transmitter (CSIT). In contrast to the existing works based on one or two particular channel uncertainty models, we consider a general uncertainty set defined by a generic matrix norm, called the Schatten norm, which includes most deterministic imperfect CSIT as special cases. Adopting worst-case robustness, the robust MIMO precoding design is formulated as a maximin problem to maximize the worst-case received signal-to-noise ratio or minimize the worst-case error probability. We show that the robust precoder admits a channel-diagonalizing structure for all Schatten norm based uncertainty sets, and then simplify the complex-valued matrix problem to a real-valued vector power allocation problem. We further show that the simplified power allocation problem can be analytically solved in a waterfilling manner, thus leading to a fully closed-form solution to the robust precoding design. Finally, we also investigate the robustness of beamforming and uniform-power transmission.