Construction of Capacity Achieving Lattice Gaussian Codes

  • Wael Alghamdi

    Student thesis: Master's Thesis


    We propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction parameters, i.e., the primes and dimensions of the codes, as functions of the block-length. The approach we take introduces an averaging argument that explicitly involves the considered parameters. This averaging argument is applied to a generalized Loeliger ensemble [1] to provide a more practical proof of the existence of AWGN-good lattices, and to characterize suitable parameters for the lattice Gaussian coding scheme proposed by Ling and Belfiore [3].
    Date of AwardApr 2016
    Original languageEnglish (US)
    SupervisorMohamed-Slim Alouini (Supervisor)


    • Algebraic
    • Coding
    • AWGN-good
    • Poltyrev
    • Lattice
    • Loeliger

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