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arXiv 0808.0876cs.ITmath.IT
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一类Z干扰信道的容量域和界

Capacity Regions and Bounds for a Class of Z-interference Channels

Nan Liu, Andrea Goldsmith

摘要:

我们定义了一类Z-干扰信道,我们获得了一个新的上限的容量区域。该约束利用了由Korner和Marton首次引入的技术。该类中的信道具有这样的性质:对于遭受干扰的发射机-接收机对,接收机处的条件输出熵相对于所发射的码字是不变的。我们比较新的容量区域上限与韩/小林可实现的速率区域的干扰信道。这种比较表明,我们的界限在某些情况下是紧的,从而产生特定的点的容量区域以及某些Z干扰信道的总容量。特别地,该结果可以用作获得高斯Z干扰信道的和容量的替代方法。然后,我们对我们的信道类别施加额外的限制:遭受干扰的发射器-接收器对实现其最大输出熵,具有单个输入分布,而不管干扰分布如何。对于这些通道,我们表明,我们的新的容量区域上限与韩/小林可实现的速率区域,因此,这是实现容量。特别是,对于这些通道的叠加编码与部分解码示出为最佳的和一个单字母表征的容量区域。

英文摘要:

We define a class of Z-interference channels for which we obtain a new upper bound on the capacity region. The bound exploits a technique first introduced by Korner and Marton. A channel in this class has the property that, for the transmitter-receiver pair that suffers from interference, the conditional output entropy at the receiver is invariant with respect to the transmitted codewords. We compare the new capacity region upper bound with the Han/Kobayashi achievable rate region for interference channels. This comparison shows that our bound is tight in some cases, thereby yielding specific points on the capacity region as well as sum capacity for certain Z-interference channels. In particular, this result can be used as an alternate method to obtain sum capacity of Gaussian Z-interference channels. We then apply an additional restriction on our channel class: the transmitter-receiver pair that suffers from interference achieves its maximum output entropy with a single input distribution irrespective of the interference distribution. For these channels we show that our new capacity region upper bound coincides with the Han/Kobayashi achievable rate region, which is therefore capacity-achieving. In particular, for these channels superposition encoding with partial decoding is shown to be optimal and a single-letter characterization for the capacity region is obtained.

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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