Eisenstein integer based multi-dimensional coded modulation for physical-layer network coding over F4 in the two-way relay channels

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A novel multi-dimensional coded modulation based on Eisenstein integer Z[w] is proposed for physical-layer network coding (PNC) over the finite field F4 in the two-way relay channel (TWRC). The duo-binary turbo code is used to design the Construction A-based Z[w]-lattice for the proposed PNC over the lattice partition F4≅ Z[w]/2Z[w]. In order to improve the spectral efficiency, Ungerboeck's mapping by set partitioning (MSP) is adopted for transmission of coded and uncoded layers of the designed Construction A-based Z[w]-lattice. A novel soft-demapper and a new ML decoder with size-reduced search space are proposed to decode the superimposed lattices at the relay. A new mapping selection criterion which maximizes the mutual information between the received signal and the network coded combination is introduced for the proposed soft-demapper. Numerical results show that the proposed PNC over IF4 is superior to compute-and-forward using integer-forcing and channel decoder [5, 10].

Original languageEnglish
Title of host publicationEuCNC 2014
Subtitle of host publicationEuropean Conference on Networks and Communications
PublisherIEEE Computer Society
Number of pages5
ISBN (Print)9781479952809
Publication statusPublished - 1 Jan 2014
Event2014 European Conference on Networks and Communications, EuCNC 2014 - Bologna, United Kingdom
Duration: 23 Jun 201426 Jun 2014


Conference2014 European Conference on Networks and Communications, EuCNC 2014
Country/TerritoryUnited Kingdom

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