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arXiv 1004.4944cs.ITmath.IT
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具有认知中继的干扰信道的外界

Outer Bounds for the Interference Channel with a Cognitive Relay

Stefano Rini, Daniela Tuninetti, Natasha Devroye

摘要:

在本文中,我们首先提出了一个外边界的一般干扰信道与认知中继,即,具有在干扰信道中发送的两个独立消息的非因果知识的中继。该外部边界通过对某些信道输入进行置零而减小到确定性广播信道和确定性认知干扰信道的容量区域。然而,它并没有减少到某些确定性干扰信道的容量是已知的。因此,我们随后收紧其输出满足“可逆性”条件的通道的界限。该第二外部界限现在减少到这种特殊类别的确定性干扰信道的容量。利用干扰的特殊结构,进一步收紧了具有认知中继的高斯干扰信道的高信噪比确定性近似的第二个外界。我们提供了一个例子,表明这第三界是紧密的,至少在某些参数制度的高信噪比确定性近似的高斯信道。另一个例子表明,在非认知发射机之间没有直接链路的特殊情况下,第三个界限是容量。

英文摘要:

In this paper, we first present an outer bound for a general interference channel with a cognitive relay, i.e., a relay that has non-causal knowledge of both independent messages transmitted in the interference channel. This outer bound reduces to the capacity region of the deterministic broadcast channel and of the deterministic cognitive interference channel through nulling of certain channel inputs. It does not, however, reduce to that of certain deterministic interference channels for which capacity is known. As such, we subsequently tighten the bound for channels whose outputs satisfy an "invertibility" condition. This second outer bound now reduces to the capacity of this special class of deterministic interference channels. The second outer bound is further tightened for the high SNR deterministic approximation of the Gaussian interference channel with a cognitive relay by exploiting the special structure of the interference. We provide an example that suggests that this third bound is tight in at least some parameter regimes for the high SNR deterministic approximation of the Gaussian channel. Another example shows that the third bound is capacity in the special case where there are no direct links between the non-cognitive transmitters.

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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