Lattices from subfields of Q (xi n)
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Undergraduate course
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Institute of Electrical and Electronics Engineers (IEEE)
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Work presented at event
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Acesso aberto
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Abstract
In this paper we present a method for evaluating the center density of algebraic lattices from subfields of Q(xi n), where n is a positive integer. This method allows to reproduce rotated versions of dense lattices in some dimensions. Constellations on algebraic lattices with high packing density have been proposed for use in communications in Gaussian channels and also in Rayleigh fading channels in case they have high diversity.
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Keywords
Algebraic lattices, Cyclotomic fields, Gaussian channel, Number fields, Packing density, Quadratic forms, Intelligent vehicle highway systems
Language
English
Citation
Proceedings of the IEEE International Telecommunications Symposium, Vols 1 and 2. New York: IEEE, p. 841-843, 2006.
