Asymptotically optimal error-rate performance of linear physical-layer network coding in rayleigh fading two-way relay channels

Tao Yang*, Iain B. Collings

*Corresponding author for this work

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We study a new linear physical-layer network coding (LPNC) scheme for fading two-way relay channels. In the uplink phase, two users transmit simultaneously. The relay selects some integer coefficients and computes a linear combination (in a size-q finite set) of the two users' messages, which is broadcast in the downlink phase. We develop a design criterion for choosing the integer coefficients that minimizes the error probability. Based on that, we derive an asymptotically tight bound, in a closed-form, for the error probability of the LPNC scheme over Rayleigh fading channels. Our analysis shows that the error-rate performance of the LPNC scheme becomes asymptotically optimal at a high SNR, and our designed LPNC scheme significantly outperforms existing schemes in the literature.

Original languageEnglish
Article number6196153
Pages (from-to)1068-1071
Number of pages4
JournalIEEE Communications Letters
Volume16
Issue number7
DOIs
Publication statusPublished - 2012
Externally publishedYes

Keywords

  • code design
  • compute-and-forward
  • physical-layer network coding
  • relay channel

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