TY - JOUR
T1 - Multilevel Constructions
T2 - Coding, Packing and Geometric Uniformity
AU - Bollauf, Maiara F.
AU - Zamir, Ram
AU - Costa, Sueli I.R.
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - 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.
AB - 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.
KW - Lattice constructions
KW - construction C∗
KW - construction c
KW - geometrically uniform constellation
KW - minimum distance
UR - http://www.scopus.com/inward/record.url?scp=85077436367&partnerID=8YFLogxK
U2 - 10.1109/TIT.2019.2933219
DO - 10.1109/TIT.2019.2933219
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AN - SCOPUS:85077436367
SN - 0018-9448
VL - 65
SP - 7669
EP - 7681
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 12
M1 - 8788649
ER -