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arXiv 1704.04641cs.ITmath.IT
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高斯两对双向中继信道的1/2比特内容量

Capacity of the Gaussian Two-Pair Two-Way Relay Channel to Within 1/2 Bit

Xiaojun Yuan, Haiyang Xin, Soung-Chang Liew, Yong Li

摘要:

研究了高斯两对双向中继信道(TWRC)的收发机设计,其中两对用户通过一个公共中继以成对的方式交换信息。我们的主要贡献是表明,高斯两对TWRC的容量是可以实现的任意信道条件下的1/2位内。在证明中,我们开发了一种混合编码方案,包括高斯随机编码,嵌套格编码,叠加编码和网络编码解码。此外,我们提出了一种消息重组策略,以解耦的编码设计的用户到中继和中继到用户的链接,从而提供灵活性,充分利用信道的随机性。最后,明智的功率分配在中继是必要的,以接近各种信道条件下的信道容量。

英文摘要:

This paper studies the transceiver design of the Gaussian two-pair two-way relay channel (TWRC), where two pairs of users exchange information through a common relay in a pairwise manner. Our main contribution is to show that the capacity of the Gaussian two-pair TWRC is achievable to within 1/2 bit for arbitrary channel conditions. In the proof, we develop a hybrid coding scheme involving Gaussian random coding, nested lattice coding, superposition coding, and network-coded decoding. Further, we present a message-reassembling strategy to decouple the coding design for the user-to-relay and relay-to-user links, so as to provide flexibility to fully exploit the channel randomness. Finally, judicious power allocation at the relay is necessary to approach the channel capacity under various channel conditions.

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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