On the Error Performance of the A Lattices

We consider the root lattice A_{n} and derive explicit recursive formulas for the moments of its Voronoi cell. These formulas enable accurate prediction of the error probability of lattice codes constructed from A_{n} .

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Veröffentlicht in:	IEEE transactions on information theory 2012-09, Vol.58 (9), p.5941-5949
Hauptverfasser:	McKilliam, Robby G., Subramanian, Ramanan, Viterbo, Emanuele, Clarkson, I. Vaughan L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Coding theory Coding, codes Error correction & detection Exact sciences and technology Generators Hypercubes Information theory Information, signal and communications theory Lattice decoding Lattice theory Lattices Maximum likelihood decoding Probability probability of error root lattice Signal and communications theory Telecommunications and information theory Vectors Voronoi cell Zinc
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Beschreibung
Zusammenfassung:	We consider the root lattice A_{n} and derive explicit recursive formulas for the moments of its Voronoi cell. These formulas enable accurate prediction of the error probability of lattice codes constructed from A_{n} .
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2012.2199462