Multilevel Constructions: Coding, Packing and Geometric Uniformity

Autor(es)

Bollauf, Maiara F. ^{[1, 2]} ; Zamir, Ram ^[3] ; Costa, Sueli I. R. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Math Stat & Comp Sci, BR-13083859 Campinas - Brazil

^[2] Texas A&M Univ Qatar, Dept Elect & Comp Engn, Doha - Qatar

^[3] Tel Aviv Univ, Dept Elect Engn Syst, IL-6997801 Tel Aviv - Israel

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON INFORMATION THEORY; v. 65, n. 12, p. 7669-7681, DEC 2019.
• Citações Web of Science: 0

Resumo

Lattice and special nonlattice multilevel constellations constructed from binary codes, such as Constructions A, C, and D, have relevant applications in Mathematics (sphere packing) and in Communication (multi-stage decoding and efficient vector quantization). In this work, we explore some properties of Construction C, in particular its geometric uniformity. We then propose a new multilevel construction, inspired by bit interleaved coded modulation (BICM), that we call Construction C{*}. We investigate the geometric uniformity, latticeness, and minimum distance properties of Construction C{*}, and discuss its superior packing efficiency when compared to Construction C. (AU)

• Processo FAPESP: 13/25977-7 - Segurança e confiabilidade da informação: teoria e prática
• Beneficiário: Marcelo Firer
• Modalidade de apoio: Auxílio à Pesquisa - Temático