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arXiv cs/0702045cs.ITmath.IT
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高斯干扰信道容量控制在1比特以内

Gaussian Interference Channel Capacity to Within One Bit

Raul Etkin, David Tse, Hua Wang

摘要:

两用户高斯干扰信道的容量已经开放了三十年。人们对这一问题的认识是有限的。最著名的可达区域是由于汉-小林,但其特征是非常复杂的。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,一个简化的韩小林型计划可以实现在一个单一的位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某些高信噪比制度。使用我们的结果,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限制的情况下。

英文摘要:

The capacity of the two-user Gaussian interference channel has been open for thirty years. The understanding on this problem has been limited. The best known achievable region is due to Han-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 simplified Han-Kobayashi type scheme can achieve to within a single bit the capacity for all values of the channel parameters. We also show that the scheme is asymptotically optimal at certain high 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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