Gaussian Interference Channel Capacity to Within One Bit
Gaussian Interference Channel Capacity to Within One Bit
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DOI：
10.1109/tit.2008.2006447
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发表时间：
2008-12-01
影响因子：
2.5
通讯作者：
Wang, Hua
中科院分区：
文献类型：
--
作者：
Etkin, Raul H.;Tse, David N. C.;Wang, Hua
两用户高斯干扰信道的容量已经开放了30年。人们对这一问题的认识是有限的。最著名的可实现区域是由哈特和小林提出的，但其特征非常复杂。也不知道现有的外部边界有多紧。在这项工作中，我们表明，现有的外边界实际上可以是任意宽松的一些参数范围内，并通过推导新的外边界，我们表明，一个非常简单和明确的韩小林型计划可以实现在一个单一的比特每秒每赫兹（位/s/Hz）的容量的所有值的信道参数。我们还表明，该计划是渐近最优的在一定的高信噪比（SNR）制度。使用我们的研究结果，我们提供了一个自然的推广的点到点的经典概念的自由度的干扰有限的情况下。
The capacity of the two-user Gaussian interference channel has been open for 30 years. The understanding on this problem has been limited. The best known achievable region is due to Hart and Kobayashi but its characterization is very complicated. It is also not known how tight the existing outer bounds are. In this work, we show that the existing outer bounds can in fact be arbitrarily loose in some parameter ranges, and by deriving new outer bounds, we show that a very simple and explicit Han-Kobayashi type scheme can achieve to within a single bit per second per hertz (bit/s/Hz) of the capacity for all values of the channel parameters. We also show that the scheme is asymptotically optimal at certain high signal-to-noise ratio (SNR) regimes. Using our results, we provide a natural generalization of the point-to-point classical notion of degrees of freedom to interference-limited scenarios.