Space–Time Codes From Structured Lattices

DOI10.1109/TIT.2008.2009595zbMATH Open1367.94405arXiv0804.1811OpenAlexW2169381802MaRDI QIDQ4975718

Author name not available (Why is that?), Giuseppe Caire

Publication date: 8 August 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Abstract: We present constructions of Space-Time (ST) codes based on lattice coset coding. First, we focus on ST code constructions for the short block-length case, i.e., when the block-length is equal to or slightly larger than the number of transmit antennas. We present constructions based on dense lattice packings and nested lattice (Voronoi) shaping. Our codes achieve the optimal diversity-multiplexing tradeoff of quasi-static MIMO fading channels for any fading statistics, and perform very well also at practical, moderate values of signal to noise ratios (SNR). Then, we extend the construction to the case of large block lengths, by using trellis coset coding. We provide constructions of trellis coded modulation (TCM) schemes that are endowed with good packing and shaping properties. Both short-block and trellis constructions allow for a reduced complexity decoding algorithm based on minimum mean squared error generalized decision feedback equalizer (MMSE-GDFE) lattice decoding and a combination of this with a Viterbi TCM decoder for the TCM case. Beyond the interesting algebraic structure, we exhibit codes whose performance is among the state-of-the art considering codes with similar encoding/decoding complexity.

Full work available at URL: https://arxiv.org/abs/0804.1811

Mathematics Subject Classification ID

Combined modulation schemes (including trellis codes) in coding theory (94B12) Combinatorial codes (94B25) Decoding (94B35) Channel models (including quantum) in information and communication theory (94A40)

Related Items (9)

Iterated Space-Time Code Constructions From Cyclic Algebras ⋮ Universal trellis codes for diagonally layered space-time systems ⋮ Space-Time Codes from Crossed Product Algebras of Degree 4 ⋮ On the conjectures of SU(3) and AB unitary space-time codes ⋮ Information-Lossless Space–Time Block Codes From Crossed-Product Algebras ⋮ Structured unitary space-time autocoding constellations ⋮ Existence and construction of noncoherent unitary space-time codes ⋮ Maximal Orders in the Design of Dense Space-Time Lattice Codes ⋮ On the Existence of Perfect Space–Time Codes

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