Distance spectrum and performance of channel-coded physical-layer network coding for binary-input Gaussian two-way relay channels

Yang, Tao, Lang, Ingmar, Huang, Tao, Yuan, Jinhong, and Chen, Zhuo (2012) Distance spectrum and performance of channel-coded physical-layer network coding for binary-input Gaussian two-way relay channels. IEEE Transactions on Communications, 60 (6). pp. 1499-1510.

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Abstract

We investigate a channel-coded physical-layer network coding (CPNC) scheme for binary-input Gaussian two-way relay channels. In this scheme, the codewords of the two users are transmitted simultaneously. The relay computes and forwards a network-coded (NC) codeword without complete decoding of the two users' individual messages. We propose a new punctured codebook method to explicitly find the distance spectrum of the CPNC scheme. Based on that, we derive an asymptotically tight performance bound for the error probability. Our analysis shows that, compared to the single-user scenario, the CPNC scheme exhibits the same minimum Euclidean distance but an increased multiplicity of error events with minimum distance. At a high SNR, this leads to an SNR penalty of at most ln2 (in linear scale), for long channel codes of various rates. Our analytical results match well with the simulated performance.

Item ID: 59933
Item Type: Article (Research - C1)
ISSN: 1558-0857
Keywords: Channel coding, physical-layer network coding, two-way relay channel, distance spectrum, compute-and-forward
Copyright Information: © IEEE
Date Deposited: 07 Dec 2021 00:18
FoR Codes: 10 TECHNOLOGY > 1005 Communications Technologies > 100510 Wireless Communications @ 50%
10 TECHNOLOGY > 1005 Communications Technologies > 100504 Data Communications @ 50%
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