Algorithms and Bounds for Complex and Quaternionic Lattices With Application to MIMO Transmission

Lattices are a popular field of study in mathematical research, but also in more practical areas like cryptology or multiple-input/multiple-output (MIMO) transmission. In mathematical theory, most often lattices over real numbers are considered. However, in communications, complex-valued processing...

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Veröffentlicht in:	IEEE transactions on information theory 2022-07, Vol.68 (7), p.4491-4517
Hauptverfasser:	Stern, Sebastian, Ling, Cong, Fischer, Robert F. H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Complexity Computational complexity Eisenstein integers Equalization Gaussian integers Hurwitz integers integer-forcing equalization Integers lattice reduction lattice-reduction-aided equalization Lattices Lipschitz integers LLL algorithm Mathematical analysis MIMO MIMO communication Norms Numerical simulation Polynomials Quantization (signal) Quaternions Real numbers successive minima Time-frequency analysis Vectors (mathematics)
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