{"title":"Lattice network codes over optimal lattices in low dimensions","authors":"K. Shum, Q. T. Sun","doi":"10.1109/IWSDA.2015.7458384","DOIUrl":null,"url":null,"abstract":"Lattice network coding is an important building block of physical-layer network coding. The receiver is required to compute a linear combination of the source symbols belonging to a finite alphabet with an algebraic structure. In this paper, lattice network codes are constructed from lattices that have optimal packing density and the best known shaping gain in low dimensions. Using the efficient quantization functions of these optimal lattices, practical lattice network codes are constructed. Simulation results demonstrate that there is a 4 to 5 dB performance gain in comparison to the baseline lattice network code with hypercube shaping.","PeriodicalId":371829,"journal":{"name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2015.7458384","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Lattice network coding is an important building block of physical-layer network coding. The receiver is required to compute a linear combination of the source symbols belonging to a finite alphabet with an algebraic structure. In this paper, lattice network codes are constructed from lattices that have optimal packing density and the best known shaping gain in low dimensions. Using the efficient quantization functions of these optimal lattices, practical lattice network codes are constructed. Simulation results demonstrate that there is a 4 to 5 dB performance gain in comparison to the baseline lattice network code with hypercube shaping.
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