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arXiv 1102.3225cs.ITmath.IT
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认知中继下一类高斯干扰信道的3比特内容量

Capacity to within 3 bits for a class of Gaussian Interference Channels with a Cognitive Relay

Stefano Rini, Daniela Tuninetti, Natasha Devroye

摘要:

具有认知中继的干扰信道(IFC-CR)由经典的两用户干扰信道组成,其中两个独立的消息在认知中继节点处也是非因果已知的。在这项工作中,一类特殊的IFC-CR的来源不创建干扰在非预期的目的地进行了分析。这种特殊的模型导致具有两个非干扰点对点信道的信道,其传输由带内认知中继辅助,这因此被称为具有认知中继的并行信道(PC-CR)。对于所有信道参数,我们确定PC-CR信道的容量在3比特/秒/赫兹内。特别是,我们提出了几个新的外边界,我们实现了一个恒定的间隙内通过适当选择高斯输入分布在一个简单的速率分裂和叠加编码为基础的内界。内边界和外边界的数值计算表明,实际的差距可以远远小于3位/秒/赫兹。

英文摘要:

The InterFerence Channel with a Cognitive Relay (IFC-CR) consists of a classical two-user interference channel in which the two independent messages are also non-causally known at a cognitive relay node. In this work a special class of IFC-CRs in which the sources do not create interference at the non-intended destinations is analyzed. This special model results in a channel with two non-interfering point-to-point channels whose transmission is aided by an in-band cognitive relay, which is thus referred to as the Parallel Channel with a Cognitive Relay (PC-CR). We determine the capacity of the PC-CR channel to within 3 bits/s/Hz for all channel parameters. In particular, we present several new outer bounds which we achieve to within a constant gap by proper selection of Gaussian input distributions in a simple rate-splitting and superposition coding-based inner bound. The inner and outer bounds are numerically evaluated to show that the actual gap can be far less than 3 bits/s/Hz.

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