Families of Lattices from Subfields of Q(Cpq) and Their Applications to Rayleigh Fading Channels

Trajano Pires da Nóbrega Neto, André Luiz Flores, J. Carmelo Interlando

DOI: 10.14209/its.2002.228

Evento: 2002 International Telecommunications Symposium (ITS2002)

Keywords: Number fields quadratic forms cyclotomic fields algebraic lattices signal sets Gaussian and fading channels diversity

Abstract

"We provide a new method to evaluate the center density of ideals in the ring of algebraic integers of subfields of Q(Cpq), where p and q are distinct prime numbers. This method allows us to reproduce rotated versions of known dense lattices in some dimensions. For example, we obtain lattice E_8 from several fields Q(Cpq). Because of their high diversity, signal constellations constructed from these dense lattices perform well on both Gaussian and Rayleigh fading channels. One application of these constellations is in mobile communications, where one single modulation/demodulation device can be used to communicate over both terrestrial and satellite links."

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