Universal Lattice Codes for MIMO Channels

Autor(es)

Campello, Antonio ^[1] ; Ling, Cong ^[1] ; Belfiore, Jean-Claude ^[2]

Afiliação do(s) autor(es)

^[1] Imperial Coll London, Dept Elect & Elect Engn, London SW7 2AZ - England

^[2] Huawei Technol, France Res Ctr, Math & Algorithm Sci Lab, F-92100 Boulogne - France

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON INFORMATION THEORY; v. 64, n. 12, p. 7847-7865, DEC 2018.
• Citações Web of Science: 1

Resumo

We propose a coding scheme that achieves the capacity of the compound MIMO channel with algebraic lattices. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned channel realizations. To shape the constellation, a discrete Gaussian distribution over the lattice points is applied. These techniques, along with algebraic properties of the proposed lattices, are then used to construct a sub-optimal de-coupled coding scheme that achieves a constant gap to compound capacity by decoding in a lattice that does not dependent on the channel realization. The gap is characterized in terms of algebraic invariants of the code and is shown to be significantly smaller than previous schemes in the literature. We also exhibit alternative algebraic constructions that achieve the capacity of ergodic (SISO) fading channels. (AU)

• Processo FAPESP: 14/20602-8 - Reticulados e Teoria da Informação com múltiplos usuários
• Beneficiário: Antonio Carlos de Andrade Campello Junior
• Linha de fomento: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado