基于梯度投影的MIMO X通道干涉对准

Andreas Dotzler, D. Schmidt, G. Dietl, W. Utschick
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引用次数: 6

摘要

我们考虑一个具有两个发射器和两个接收器的MIMO网络,其中每个发射器向两个接收器发送信息,这种情况称为MIMO X信道。对于这样的系统,最近提出的干涉对准技术被证明可以达到最大的自由度,这是传统的零强迫无法达到的。与其他场景相比,对于MIMO X信道,可以很容易地找到获得干涉对准的代数表达式。此外,可能对准的参数集是连续的流形而不是离散的集合,这直接提出了如何在最大限度地提高传输速率效用时找到最佳对准的问题。由于问题的非凸性,求全局最优解在数值上是穷尽的,我们愿意接受一个局部最优解。在这项工作中,我们展示了一个有效的问题参数化,它允许应用投影梯度方法来保证对齐的解决方案。在数值模拟中,我们证明了该方法与现有算法相比的优越性。
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Gradient projection based interference alignment for the MIMO X channel
We regard a MIMO network with two transmitters and two receivers, in which each transmitter sends information to both of the receivers, a scenario known as the MIMO X channel. For such a system, the recently proposed interference alignment technique is proven to achieve the maximum degrees of freedom, which cannot be reached by conventional zero-forcing. In contrast to other scenarios, for the MIMO X channel algebraic expressions to obtain interference alignment can be easily found. Additionally, the set of parameters for possible alignments is a continuous manifold rather than a discrete set, which directly raises the question of how to find the best alignment when aiming at maximizing a utility of the transmission rates. Due to the non-convexity of the problem, finding the global optimally solution is numerically exhaustive and we are willing to accept a locally optimal solution. In this work we show an efficient parametrization of the problem which allows to apply a projected gradient approach that guarantees an aligned solution. In numerical simulations we show the superiority of our method compared to existing algorithms.
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